gemm_sm90.h

// Copyright (c) Microsoft Corporation.
// Licensed under the MIT License.
#pragma once

#include <cute/arch/mma_sm80.hpp>
#include <cute/arch/mma_sm90.hpp>
#include <cute/atom/mma_atom.hpp>
#include <cutlass/arch/barrier.h>
#include <cutlass/cutlass.h>

#include "common.h"

namespace cute {

using namespace SM90;

namespace tl_wgmma {
template <GMMA::Major major, class ElementType, class BLK_MN, class BLK_K>
CUTE_HOST_DEVICE constexpr auto ss_smem_selector() {
  auto BLK_MN0 = size<0>(BLK_MN{});
  auto BLK_K0 = size<0>(BLK_K{});

  static_assert(BLK_MN0 % 8 == 0, "BLK_MN0 must be a multiple of 8.");
  static_assert(BLK_K0 % 8 == 0, "BLK_K0 must be a multiple of 8.");

  if constexpr (major == GMMA::Major::MN) {
    if constexpr (BLK_MN0 %
                      size<0>(GMMA::Layout_MN_SW128_Atom<ElementType>{}) ==
                  0) {
      return GMMA::Layout_MN_SW128_Atom<ElementType>{};
    } else if constexpr (BLK_MN0 %
                             size<0>(
                                 GMMA::Layout_MN_SW64_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_MN_SW64_Atom<ElementType>{};
    } else if constexpr (BLK_MN0 %
                             size<0>(
                                 GMMA::Layout_MN_SW32_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_MN_SW32_Atom<ElementType>{};
    } else if constexpr (BLK_MN0 %
                             size<0>(
                                 GMMA::Layout_MN_INTER_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_MN_INTER_Atom<ElementType>{};
    } else {
      static_assert(
          BLK_MN0 % size<0>(GMMA::Layout_MN_INTER_Atom<ElementType>{}) == 0,
          "BLK_MN0 must be a multiple of "
          "size<0>(GMMA::Layout_MN_INTER_Atom<ElementType>{})");
    }
  } else if constexpr (major == GMMA::Major::K) {
    if constexpr (BLK_K0 % size<1>(GMMA::Layout_K_SW128_Atom<ElementType>{}) ==
                  0) {
      return GMMA::Layout_K_SW128_Atom<ElementType>{};
    } else if constexpr (BLK_K0 %
                             size<1>(GMMA::Layout_K_SW64_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_K_SW64_Atom<ElementType>{};
    } else if constexpr (BLK_K0 %
                             size<1>(GMMA::Layout_K_SW32_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_K_SW32_Atom<ElementType>{};
    } else if constexpr (BLK_K0 %
                             size<1>(
                                 GMMA::Layout_K_INTER_Atom<ElementType>{}) ==
                         0) {
      return GMMA::Layout_K_INTER_Atom<ElementType>{};
    } else {
      static_assert(
          BLK_K0 % size<1>(GMMA::Layout_K_INTER_Atom<ElementType>{}) == 0,
          "BLK_K0 must be a multiple of "
          "size<1>(GMMA::Layout_K_INTER_Atom<ElementType>{})");
    }
  }
}

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, typename A_type_raw, typename B_type_raw,
          typename C_type_raw>
class GemmTensorOp {
public:
  using A_type = conditional_t<std::is_same<A_type_raw, float>::value,
                               tfloat32_t, A_type_raw>;
  using B_type = conditional_t<std::is_same<B_type_raw, float>::value,
                               tfloat32_t, B_type_raw>;
  using C_type = C_type_raw;

  static constexpr GMMA::Major GmmaMajorA =
      trans_A ? GMMA::Major::MN : GMMA::Major::K;
  static constexpr GMMA::Major GmmaMajorB =
      trans_B ? GMMA::Major::K : GMMA::Major::MN;

  using SmemLayoutAtomA =
      decltype(ss_smem_selector<GmmaMajorA, A_type, Int<M>, Int<K>>());
  using SmemLayoutAtomB =
      decltype(ss_smem_selector<GmmaMajorB, B_type, Int<N>, Int<K>>());

  using SmemLayoutA = decltype(tile_to_shape(
      SmemLayoutAtomA{}, Shape<Int<M>, Int<K>>{},
      conditional_t<trans_A, Step<_2, _1>, Step<_1, _2>>{}));
  using SmemLayoutB = decltype(tile_to_shape(
      SmemLayoutAtomB{}, Shape<Int<N>, Int<K>>{},
      conditional_t<trans_B, Step<_1, _2>, Step<_2, _1>>{}));

  static_assert(num_warp_m % 4 == 0, "num_warp_m must be a multiple of 4");

  template <int wg_wait = 0>
  static CUTE_DEVICE void body(A_type_raw *pA, B_type_raw *pB, C_type_raw *pC) {
    const int tid = threadIdx.x;
    Tensor sA = make_tensor(make_smem_ptr(reinterpret_cast<A_type *>(pA)),
                            SmemLayoutA{});
    Tensor sB = make_tensor(make_smem_ptr(reinterpret_cast<B_type *>(pB)),
                            SmemLayoutB{});
    auto tiled_mma = make_tiled_mma(
        GMMA::ss_op_selector<A_type, B_type, C_type,
                             Shape<Int<M>, Int<N / num_warp_n>, Int<K>>,
                             GmmaMajorA, GmmaMajorB>(),
        Layout<Shape<Int<num_warp_m / 4>, Int<num_warp_n>, _1>>{});
    auto thr_mma = tiled_mma.get_thread_slice(tid);

    // Allocate registers for pipelining
    Tensor tCsA = thr_mma.partition_A(sA); // (MMA,MMA_M,MMA_K,PIPE)
    Tensor tCsB = thr_mma.partition_B(sB); // (MMA,MMA_N,MMA_K,PIPE)

    Tensor tCrA = thr_mma.make_fragment_A(tCsA); // (MMA,MMA_N,MMA_K,PIPE)
    Tensor tCrB = thr_mma.make_fragment_B(tCsB); // (MMA,MMA_M,MMA_N,PIPE)

    Tensor acc =
        make_tensor(make_rmem_ptr(reinterpret_cast<C_type *>(pC)),
                    partition_shape_C(tiled_mma, Shape<Int<M>, Int<N>>{}));

    warpgroup_fence_operand(acc);
    warpgroup_arrive();
    CUTLASS_PRAGMA_UNROLL
    for (int k_block = 0; k_block < size<2>(tCrA); ++k_block) {
      // warpgroup_arrive();
      // (V,M) x (V,N) => (V,M,N)
      gemm(tiled_mma, tCrA(_, _, k_block), tCrB(_, _, k_block), acc);
      tiled_mma.accumulate_ = GMMA::ScaleOut::One;
    }

    warpgroup_commit_batch();
    if constexpr (wg_wait >= 0) {
      warpgroup_wait<wg_wait>();
    }
    warpgroup_fence_operand(acc);
    // warpgroup_fence_operand(acc);
    // warpgroup_arrive();

    // gemm(tiled_mma, tCrA(_, _, _), tCrB(_, _, _), acc);

    // warpgroup_commit_batch();
    // if constexpr (wg_wait >= 0) { warpgroup_wait<wg_wait>(); }
    // warpgroup_fence_operand(acc);
  }

  template <int wg_wait = 0>
  static CUTE_DEVICE void body_rs(A_type_raw *pA, B_type_raw *pB,
                                  C_type_raw *pC) {
    // TODO: Move bar.sync out of body_rs
    // asm volatile("bar.sync %0, %1;" : : "r"(1), "r"(num_warp_m * num_warp_n *
    // 32));
    const int tid = threadIdx.x;
    Tensor sB = make_tensor(make_smem_ptr(reinterpret_cast<B_type *>(pB)),
                            SmemLayoutB{});
    auto tiled_mma = make_tiled_mma(
        GMMA::rs_op_selector<A_type, B_type, C_type,
                             Shape<Int<M>, Int<N / num_warp_n>, Int<K>>,
                             GmmaMajorA, GmmaMajorB>(),
        Layout<Shape<Int<num_warp_m / 4>, Int<num_warp_n>, _1>>{});
    auto thr_mma = tiled_mma.get_thread_slice(tid);

    // Allocate registers for pipelining
    Tensor tCsB = thr_mma.partition_B(sB);       // (MMA,MMA_N,MMA_K,PIPE)
    Tensor tCrB = thr_mma.make_fragment_B(tCsB); // (MMA,MMA_M,MMA_N,PIPE)
    Tensor tCrA =
        make_tensor(make_rmem_ptr(reinterpret_cast<A_type *>(pA)),
                    partition_shape_A(tiled_mma, Shape<Int<M>, Int<K>>{}));
    Tensor acc =
        make_tensor(make_rmem_ptr(reinterpret_cast<C_type *>(pC)),
                    partition_shape_C(tiled_mma, Shape<Int<M>, Int<N>>{}));

    warpgroup_fence_operand(tCrA);
    warpgroup_fence_operand(acc);
    warpgroup_arrive();
    CUTLASS_PRAGMA_UNROLL
    for (int k_block = 0; k_block < size<2>(tCrA); ++k_block) {
      // warpgroup_arrive();
      // (V,M) x (V,N) => (V,M,N)
      gemm(tiled_mma, tCrA(_, _, k_block), tCrB(_, _, k_block), acc);
      tiled_mma.accumulate_ = GMMA::ScaleOut::One;
    }
    warpgroup_commit_batch();
    if constexpr (wg_wait >= 0) {
      warpgroup_wait<wg_wait>();
    }
    warpgroup_fence_operand(acc);
    warpgroup_fence_operand(tCrA);

    // warpgroup_fence_operand(acc);
    // warpgroup_arrive();

    // gemm(tiled_mma, tCrA(_, _, _), tCrB(_, _, _), acc);

    // warpgroup_commit_batch();

    // if constexpr (wg_wait >= 0) { warpgroup_wait<wg_wait>(); }
    // warpgroup_fence_operand(acc);
  }
};

} // namespace tl_wgmma

namespace tl_mma {

template <typename A_type, typename B_type, typename C_type, int num_warp_m,
          int num_warp_n>
struct DispatchInstruction;

using _X = Underscore;

#if (defined(__CUDA_ARCH_LIST__) && (__CUDA_ARCH_LIST__ >= 800))
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<half_t, half_t, half_t, num_warp_m, num_warp_n> {
  using MMA = MMA_Atom<SM80_16x8x16_F16F16F16F16_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _X>;
};
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<half_t, half_t, float, num_warp_m, num_warp_n> {
  using MMA = MMA_Atom<SM80_16x8x16_F32F16F16F32_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _X>;
};
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<bfloat16_t, bfloat16_t, float, num_warp_m,
                           num_warp_n> {
  using MMA = MMA_Atom<SM80_16x8x16_F32BF16BF16F32_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _X>;
};
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<tfloat32_t, tfloat32_t, float, num_warp_m,
                           num_warp_n> {
  using MMA = MMA_Atom<SM80_16x8x8_F32TF32TF32F32_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _X>;
};
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<int8_t, int8_t, int, num_warp_m, num_warp_n> {
  using MMA = MMA_Atom<SM80_16x8x32_S32S8S8S32_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _X>;
};
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<double, double, double, num_warp_m, num_warp_n> {
  using MMA = MMA_Atom<SM80_8x8x4_F64F64F64F64_TN>;
  using MMA_Group = Tile<Int<num_warp_m * 16>, Int<num_warp_n * 16>, _X>;
};
#elif (defined(__CUDA_ARCH_LIST__) && (__CUDA_ARCH_LIST__ >= 750))
template <int num_warp_m, int num_warp_n>
struct DispatchInstruction<half_t, half_t, float, num_warp_m, num_warp_n> {
  using MMA = MMA_Atom<SM75_16x8x8_F32F16F16F32_TN>;
  using MMA_Group = Tile<_X, Int<num_warp_n * 16>, _16>;
};
#endif

template <int Bits, int N, int K, bool K_inner, typename Enable = void>
struct OperandTraits {
  // Primary template, use padded layout and default copy
  static constexpr int stride = K_inner ? K : N;
  static constexpr int padded =
      stride % (256 / Bits) == 0 ? stride + 128 / Bits : stride;
  using Layout = typename std::conditional<
      K_inner, Layout<Shape<Int<N>, Int<K>>, Shape<Int<padded>, _1>>,
      Layout<Shape<Int<N>, Int<K>>, Shape<_1, Int<padded>>>>::type;
  using Copy = DefaultCopy;
};

template <int N, int K>
struct OperandTraits<16, N, K, true,
                     typename std::enable_if<K % 64 == 32>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 3, 3>{}, Layout<Shape<_8, _32>, Stride<_32, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<16, N, K, true,
                     typename std::enable_if<K % 64 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<3, 3, 3>{}, Layout<Shape<_8, _64>, Stride<_64, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<16, N, K, false,
                     typename std::enable_if<N % 64 == 32>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 3, 3>{}, Layout<Shape<_32, _8>, Stride<_1, _32>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{},
                                        Step<_2, _1>{}));
  using Copy = SM75_U16x8_LDSM_T;
};

template <int N, int K>
struct OperandTraits<16, N, K, false,
                     typename std::enable_if<N % 64 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<3, 3, 3>{}, Layout<Shape<_64, _8>, Stride<_1, _64>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{},
                                        Step<_2, _1>{}));
  using Copy = SM75_U16x8_LDSM_T;
};

template <int N, int K>
struct OperandTraits<32, N, K, true,
                     typename std::enable_if<K % 32 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<3, 2, 3>{}, Layout<Shape<_8, _32>, Stride<_32, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<32, N, K, true,
                     typename std::enable_if<K % 32 == 16>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 2, 3>{}, Layout<Shape<_8, _16>, Stride<_16, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<32, N, K, false,
                     typename std::enable_if<N % 32 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<3, 2, 3>{}, Layout<Shape<_32, _8>, Stride<_1, _32>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{},
                                        Step<_2, _1>{}));
  using Copy = UniversalCopy<tfloat32_t>;
};

template <int N, int K>
struct OperandTraits<32, N, K, false,
                     typename std::enable_if<N % 32 == 16>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 2, 3>{}, Layout<Shape<_16, _8>, Stride<_1, _16>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{},
                                        Step<_2, _1>{}));
  using Copy = UniversalCopy<tfloat32_t>;
};

template <int N, int K>
struct OperandTraits<8, N, K, true,
                     typename std::enable_if<K % 128 == 64>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 4, 3>{}, Layout<Shape<_8, _64>, Stride<_64, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<8, N, K, true,
                     typename std::enable_if<K % 128 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<3, 4, 3>{}, Layout<Shape<_8, _128>, Stride<_128, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = SM75_U32x4_LDSM_N;
};

template <int N, int K>
struct OperandTraits<64, N, K, true,
                     typename std::enable_if<K % 16 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 0, 4>{}, Layout<Shape<_4, _16>, Stride<_16, _1>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{}));
  using Copy = DefaultCopy;
};

template <int N, int K>
struct OperandTraits<64, N, K, false,
                     typename std::enable_if<N % 16 == 0>::type> {
  using LayoutAtom = decltype(composition(
      Swizzle<2, 2, 2>{}, Layout<Shape<_16, _4>, Stride<_1, _16>>{}));
  using Layout = decltype(tile_to_shape(LayoutAtom{}, Shape<Int<N>, Int<K>>{},
                                        Step<_2, _1>{}));
  using Copy = DefaultCopy;
};

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, typename A_type_raw, typename B_type_raw,
          typename C_type_raw>
class GemmTensorOp {
public:
  using A_type =
      typename std::conditional<std::is_same<A_type_raw, float>::value,
                                tfloat32_t, A_type_raw>::type;
  using B_type =
      typename std::conditional<std::is_same<B_type_raw, float>::value,
                                tfloat32_t, A_type_raw>::type;
  using C_type = C_type_raw;
  using Instruction =
      DispatchInstruction<A_type, B_type, C_type, num_warp_m, num_warp_n>;

  using OperandATraits =
      OperandTraits<sizeof_bits<A_type>::value, M, K, !trans_A>;
  using OperandBTraits =
      OperandTraits<sizeof_bits<B_type>::value, N, K, trans_B>;
  using SmemLayoutA = typename OperandATraits::Layout;
  using SmemLayoutB = typename OperandBTraits::Layout;
  using SmemCopyA = Copy_Atom<typename OperandATraits::Copy, A_type>;
  using SmemCopyB = Copy_Atom<typename OperandBTraits::Copy, B_type>;

  using TileMma = TiledMMA<typename Instruction::MMA,
                           Layout<Shape<Int<num_warp_m>, Int<num_warp_n>, _1>>,
                           typename Instruction::MMA_Group>;

  template <class... Args>
  static CUTE_DEVICE auto remove_swizzle(Layout<Args...> const &layout) {
    return layout;
  }
  // In fp16, when layout is KxN and n_warp is 1 and N % 64 == 0
  // the original layout fail to compile, currently using this as a workaround
  template <class... Args>
  static CUTE_DEVICE auto
  remove_swizzle(ComposedLayout<Args...> const &layout) {
    if constexpr (sizeof(A_type) == 2)
      return layout.layout_b();
    else
      return layout;
  }

  static CUTE_DEVICE void body(A_type_raw *pA, B_type_raw *pB, C_type_raw *pC) {
    const int tid = threadIdx.x;
    Tensor sA = make_tensor(make_smem_ptr(reinterpret_cast<A_type *>(pA)),
                            SmemLayoutA{});
    Tensor sB = make_tensor(make_smem_ptr(reinterpret_cast<B_type *>(pB)),
                            SmemLayoutB{});
    TileMma tiled_mma;
    auto thr_mma = tiled_mma.get_thread_slice(tid);
    auto tiled_copy_A = make_tiled_copy_A(SmemCopyA{}, tiled_mma);
    auto tiled_copy_B = make_tiled_copy_B(SmemCopyB{}, tiled_mma);
    auto thr_copy_A = tiled_copy_A.get_thread_slice(tid);
    auto thr_copy_B = tiled_copy_B.get_thread_slice(tid);

    Tensor tCrA = thr_mma.partition_fragment_A(sA);
    Tensor tCrB = thr_mma.partition_fragment_B(sB);
    Tensor tCsA = thr_copy_A.partition_S(sA);
    Tensor tCsB = thr_copy_B.partition_S(sB);

    Tensor tCrA_copy_view = thr_copy_A.retile_D(tCrA);
    Tensor tCrB_copy_view = thr_copy_B.retile_D(tCrB);

    Tensor acc =
        make_tensor(make_rmem_ptr(reinterpret_cast<C_type *>(pC)),
                    partition_shape_C(tiled_mma, Shape<Int<M>, Int<N>>{}));

    // when layout is KxN and n_warp is 1, there seem to be a bug, use this as a
    // workaround
    auto tCrA_view = make_tensor(tCrA.data(), remove_swizzle(tCrA.layout()));
    auto tCrB_view = make_tensor(tCrB.data(), remove_swizzle(tCrB.layout()));
    CUTE_UNROLL
    for (int k = 0; k < size<2>(tCrA); ++k) {
      copy(tiled_copy_A, tCsA(_, _, k), tCrA_copy_view(_, _, k));
      copy(tiled_copy_B, tCsB(_, _, k), tCrB_copy_view(_, _, k));
      gemm(tiled_mma, tCrA_view(_, _, k), tCrB_view(_, _, k), acc);
    }
  }

  static CUTE_DEVICE void body_rs(A_type_raw *pA, B_type_raw *pB,
                                  C_type_raw *pC) {
    const int tid = threadIdx.x;
    Tensor sB = make_tensor(make_smem_ptr(reinterpret_cast<B_type *>(pB)),
                            SmemLayoutB{});
    TileMma tiled_mma;
    auto thr_mma = tiled_mma.get_thread_slice(tid);
    auto tiled_copy_B = make_tiled_copy_B(SmemCopyB{}, tiled_mma);
    auto thr_copy_B = tiled_copy_B.get_thread_slice(tid);

    Tensor tCrB = thr_mma.partition_fragment_B(sB);
    Tensor tCsB = thr_copy_B.partition_S(sB);

    Tensor tCrB_copy_view = thr_copy_B.retile_D(tCrB);

    Tensor acc =
        make_tensor(make_rmem_ptr(reinterpret_cast<C_type *>(pC)),
                    partition_shape_C(tiled_mma, Shape<Int<M>, Int<N>>{}));
    Tensor tCrA =
        make_tensor(make_rmem_ptr(reinterpret_cast<A_type *>(pA)),
                    partition_shape_A(tiled_mma, Shape<Int<M>, Int<K>>{}));

    auto tCrB_view = make_tensor(tCrB.data(), remove_swizzle(tCrB.layout()));
    copy(tiled_copy_B, tCsB(_, _, 0), tCrB_copy_view(_, _, 0));
    CUTE_UNROLL
    for (int k = 0; k < size<2>(tCrA); ++k) {
      if (k < size<2>(tCrA) - 1) {
        copy(tiled_copy_B, tCsB(_, _, k + 1), tCrB_copy_view(_, _, k + 1));
      }
      gemm(tiled_mma, tCrA(_, _, k), tCrB_view(_, _, k), acc);
    }
  }

  static CUTE_DEVICE void body_sr(A_type_raw *pA, B_type_raw *pB,
                                  C_type_raw *pC) {
    const int tid = threadIdx.x;
    Tensor sA = make_tensor(make_smem_ptr(reinterpret_cast<A_type *>(pA)),
                            SmemLayoutA{});
    TileMma tiled_mma;
    auto thr_mma = tiled_mma.get_thread_slice(tid);
    auto tiled_copy_A = make_tiled_copy_A(SmemCopyA{}, tiled_mma);
    auto thr_copy_A = tiled_copy_A.get_thread_slice(tid);

    Tensor tCrA = thr_mma.partition_fragment_A(sA);
    Tensor tCsA = thr_copy_A.partition_S(sA);

    Tensor tCrA_copy_view = thr_copy_A.retile_D(tCrA);

    Tensor acc =
        make_tensor(make_rmem_ptr(reinterpret_cast<C_type *>(pC)),
                    partition_shape_C(tiled_mma, Shape<Int<M>, Int<N>>{}));
    Tensor tCrB =
        make_tensor(make_rmem_ptr(reinterpret_cast<B_type *>(pB)),
                    partition_shape_B(tiled_mma, Shape<Int<N>, Int<K>>{}));

    auto tCrA_view = make_tensor(tCrA.data(), remove_swizzle(tCrA.layout()));
    copy(tiled_copy_A, tCsA(_, _, 0), tCrA_copy_view(_, _, 0));
    CUTE_UNROLL
    for (int k = 0; k < size<2>(tCrA); ++k) {
      if (k < size<2>(tCrA) - 1) {
        copy(tiled_copy_A, tCsA(_, _, k + 1), tCrA_copy_view(_, _, k + 1));
      }
      gemm(tiled_mma, tCrA_view(_, _, k), tCrB(_, _, k), acc);
    }
  }
};

} // namespace tl_mma

} // namespace cute

namespace tl {

namespace tl_mma {

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, typename A_type, typename B_type, typename C_type>
CUTLASS_DEVICE void gemm_ss(A_type *pA, B_type *pB, C_type *accum) {
  using MMA =
      cute::tl_mma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                 trans_B, A_type, B_type, C_type>;
  MMA::body(pA, pB, accum);
}

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, typename A_type, typename B_type, typename C_type>
CUTLASS_DEVICE void gemm_rs(A_type *pA, B_type *pB, C_type *accum) {
  using MMA =
      cute::tl_mma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                 trans_B, A_type, B_type, C_type>;
  MMA::body_rs(pA, pB, accum);
}

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, typename A_type, typename B_type, typename C_type>
CUTLASS_DEVICE void gemm_sr(A_type *pA, B_type *pB, C_type *accum) {
  using MMA =
      cute::tl_mma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                 trans_B, A_type, B_type, C_type>;
  MMA::body_sr(pA, pB, accum);
}

} // namespace tl_mma

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, bool use_wgmma = true, int wg_wait = 0, typename A_type,
          typename B_type, typename C_type>
TL_DEVICE void gemm_ss(A_type *pA, B_type *pB, C_type *accum) {
  if constexpr (use_wgmma) {
    using MMA =
        cute::tl_wgmma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                     trans_B, A_type, B_type, C_type>;
    MMA::body<wg_wait>(pA, pB, accum);
  } else {
    using MMA =
        cute::tl_mma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                   trans_B, A_type, B_type, C_type>;
    MMA::body(pA, pB, accum);
  }
}

template <int M, int N, int K, int num_warp_m, int num_warp_n, bool trans_A,
          bool trans_B, bool use_wgmma = true, int wg_wait = 0, typename A_type,
          typename B_type, typename C_type>
TL_DEVICE void gemm_rs(A_type *pA, B_type *pB, C_type *accum) {
  if constexpr (use_wgmma) {
    using MMA =
        cute::tl_wgmma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                     trans_B, A_type, B_type, C_type>;
    MMA::body_rs<wg_wait>(pA, pB, accum);
  } else {
    using MMA =
        cute::tl_mma::GemmTensorOp<M, N, K, num_warp_m, num_warp_n, trans_A,
                                   trans_B, A_type, B_type, C_type>;
    MMA::body_rs(pA, pB, accum);
  }
}

template <int num_mma> TL_DEVICE void wait_wgmma() {
  cute::warpgroup_wait<num_mma>();
}

template <int NumMmaThreads> TL_DEVICE void warp_scheduler_barrier_sync() {
  cutlass::arch::NamedBarrier::sync(NumMmaThreads,
                                    cutlass::canonical_warp_group_idx() /*id*/);
}

template <int NumMmaThreads> TL_DEVICE void warp_scheduler_barrier_arrive() {
  static_assert(NumMmaThreads == 256 || NumMmaThreads == 384);
  if constexpr (NumMmaThreads == 256) {
    cutlass::arch::NamedBarrier::arrive(
        NumMmaThreads, (1 - cutlass::canonical_warp_group_idx()) /*id*/);
  } else {
    cutlass::arch::NamedBarrier::arrive(
        NumMmaThreads,
        (cutlass::canonical_warp_group_idx() <= 1
             ? cutlass::canonical_warp_group_idx() + 1
             : cutlass::canonical_warp_group_idx() + 1 - 3) /*id*/);
    cutlass::arch::NamedBarrier::arrive(
        NumMmaThreads,
        (cutlass::canonical_warp_group_idx() <= 0
             ? cutlass::canonical_warp_group_idx() + 2
             : cutlass::canonical_warp_group_idx() + 2 - 3) /*id*/);
  }
}

template <int NumMmaThreads> TL_DEVICE void mma_init() {
  static_assert(NumMmaThreads == 256 || NumMmaThreads == 384);
  if (cutlass::canonical_warp_group_idx() > 0) {
    cutlass::arch::NamedBarrier::arrive(NumMmaThreads, 0);
  }
  if constexpr (NumMmaThreads == 384) {
    if (cutlass::canonical_warp_group_idx() > 1) {
      cutlass::arch::NamedBarrier::arrive(NumMmaThreads, 1 /*id*/);
    }
  }
}
} // namespace tl