/***************************************************************************************************
 * Copyright (c) 2017 - 2023 NVIDIA CORPORATION & AFFILIATES. All rights reserved.
 * SPDX-License-Identifier: BSD-3-Clause
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *
 * 1. Redistributions of source code must retain the above copyright notice, this
 * list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright notice,
 * this list of conditions and the following disclaimer in the documentation
 * and/or other materials provided with the distribution.
 *
 * 3. Neither the name of the copyright holder nor the names of its
 * contributors may be used to endorse or promote products derived from
 * this software without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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 * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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 **************************************************************************************************/
/*! \file
    \brief Matrix multiply
*/

#pragma once

#if defined(__CUDACC_RTC__)
#include <cuda/std/cassert>
#else
#include <assert.h>
#endif

#include "cutlass/cutlass.h"
#include "mma.h"
#include "cutlass/layout/matrix.h"
#include "cutlass/numeric_types.h"

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

#if ((__CUDACC_VER_MAJOR__ > 11) || (__CUDACC_VER_MAJOR__ == 11 && __CUDACC_VER_MINOR__ >= 0))

#define CUTLASS_ARCH_MMA_SM80_SUPPORTED 1

#if (defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 800))
#define CUTLASS_ARCH_MMA_SM80_ENABLED
#endif
#endif

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

namespace cutlass {
namespace arch {

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 1688 - Float BF16, FP32 accumulation
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation - F32 = bf16 * bf16 + F32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 8>,
  32,
  bfloat16_t,
  layout::RowMajor,
  bfloat16_t,
  layout::ColumnMajor,
  float,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 8>;

  using ElementA = bfloat16_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<bfloat16_t, 4>;

  using ElementB = bfloat16_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<bfloat16_t, 2>;

  using ElementC = float;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<float, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  CUTLASS_HOST_DEVICE
  void operator()(FragmentC &d, FragmentA const &a, FragmentB const &b,
                  FragmentC const &c) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
  uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
  float const *C = reinterpret_cast<float const *>(&c);
  float *D = reinterpret_cast<float *>(&d);

  asm(
      "mma.sync.aligned.m16n8k8.row.col.f32.bf16.bf16.f32 "
      "{%0,%1,%2,%3}, {%4,%5}, {%6}, {%7,%8,%9,%10};\n"
      : "=f"(D[0]), "=f"(D[1]), "=f"(D[2]), "=f"(D[3])
      : 
        "r"(A[0]), "r"(A[1]), 
        "r"(B[0]), 
        "f"(C[0]), "f"(C[1]), "f"(C[2]), "f"(C[3])
  );

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 1684 - Float TF32
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: F32 = tf32 * tf32 + F32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 4>,
  32,
  tfloat32_t,
  layout::RowMajor,
  tfloat32_t,
  layout::ColumnMajor,
  float,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 4>;

  using ElementA = tfloat32_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<tfloat32_t, 2>;

  using ElementB = tfloat32_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<tfloat32_t, 1>;

  using ElementC = float;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<float, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
  uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
  float const *C = reinterpret_cast<float const *>(&c);
  float *D = reinterpret_cast<float *>(&d);

  asm volatile(
      "mma.sync.aligned.m16n8k4.row.col.f32.tf32.tf32.f32 {%0,%1,%2,%3}, {%4,%5}, {%6}, {%7,%8,%9,%10};\n"
      : "=f"(D[0]), "=f"(D[1]), "=f"(D[2]), "=f"(D[3])
      : 
        "r"(A[0]), "r"(A[1]), 
        "r"(B[0]), 
        "f"(C[0]), "f"(C[1]), "f"(C[2]), "f"(C[3])
  );

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 1688 - Float TF32
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: F32 = tf32 * tf32 + F32
template <>
struct Mma<gemm::GemmShape<16, 8, 8>, 32, tfloat32_t, layout::RowMajor,
           tfloat32_t, layout::ColumnMajor, float, layout::RowMajor,
           OpMultiplyAdd> {
  using Shape = gemm::GemmShape<16, 8, 8>;

  using ElementA = tfloat32_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<tfloat32_t, 4>;

  using ElementB = tfloat32_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<tfloat32_t, 2>;

  using ElementC = float;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<float, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  CUTLASS_HOST_DEVICE
  void operator()(FragmentC &d, FragmentA const &a, FragmentB const &b,
                  FragmentC const &c) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
    float const *C = reinterpret_cast<float const *>(&c);
    float *D = reinterpret_cast<float *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k8.row.col.f32.tf32.tf32.f32 "
        "{%0,%1,%2,%3}, {%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=f"(D[0]), "=f"(D[1]), "=f"(D[2]), "=f"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "f"(C[0]), "f"(C[1]), "f"(C[2]), "f"(C[3]));

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16816
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: F16 = F16 * F16 + F16
template <>
struct Mma<
  gemm::GemmShape<16, 8, 16>,
  32,
  half_t,
  layout::RowMajor,
  half_t,
  layout::ColumnMajor,
  half_t,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 16>;

  using ElementA = half_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<half_t, 8>;

  using ElementB = half_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<half_t, 4>;

  using ElementC = half_t;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<half_t, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(FragmentC &d, FragmentA const &a, FragmentB const &b,
                  FragmentC const &c) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
  uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
  uint32_t const *C = reinterpret_cast<uint32_t const *>(&c);
  uint32_t *D = reinterpret_cast<uint32_t *>(&d);

  asm volatile("mma.sync.aligned.m16n8k16.row.col.f16.f16.f16.f16 {%0,%1}, {%2,%3,%4,%5}, {%6,%7}, {%8,%9};\n"
      : "=r"(D[0]), "=r"(D[1])
      : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]),
        "r"(B[0]), "r"(B[1]),
        "r"(C[0]), "r"(C[1])
  );

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

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

/// Matrix multiply-add operation: F32 = bf16 * bf16 + F32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 16>,
  32,
  bfloat16_t,
  layout::RowMajor,
  bfloat16_t,
  layout::ColumnMajor,
  float,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 16>;

  using ElementA = bfloat16_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<bfloat16_t, 8>;

  using ElementB = bfloat16_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<bfloat16_t, 4>;

  using ElementC = float;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<float, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
    float const *C = reinterpret_cast<float const *>(&c);
    float *D = reinterpret_cast<float *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.f32.bf16.bf16.f32 "
        "{%0,%1,%2,%3}, {%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=f"(D[0]), "=f"(D[1]), "=f"(D[2]), "=f"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "f"(C[0]), "f"(C[1]), "f"(C[2]), "f"(C[3]));

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

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

/// Matrix multiply-add operation: F32 = F16 * F16 + F32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 16>,
  32,
  half_t,
  layout::RowMajor,
  half_t,
  layout::ColumnMajor,
  float,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 16>;

  using ElementA = half_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<half_t, 8>;

  using ElementB = half_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<half_t, 4>;

  using ElementC = float;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<float, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);
    float const *C = reinterpret_cast<float const *>(&c);
    float *D = reinterpret_cast<float *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.f32.f16.f16.f32  {%0,%1,%2,%3}, {%4,%5,%6,%7}, {%8,%9}, "
        "{%10,%11,%12,%13};\n"
        : "=f"(D[0]), "=f"(D[1]), "=f"(D[2]), "=f"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "f"(C[0]), "f"(C[1]), "f"(C[2]), "f"(C[3]));

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();

#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 884 - F64
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: F64 = F64 * F64 + F64
template <>
struct Mma<
  gemm::GemmShape<8,8,4>,
  32,
  double,
  layout::RowMajor,
  double,
  layout::ColumnMajor,
  double,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<8,8,4>;

  using ElementA = double;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<double, 1>;

  using ElementB = double;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<double, 1>;

  using ElementC = double;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<double, 2>;

  using Operator = OpMultiplyAdd;

  using ArchTag = arch::Sm80;

  CUTLASS_HOST_DEVICE
  void operator()(FragmentC &d, FragmentA const &a, FragmentB const &b,
                  FragmentC const &c) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  double const & A = reinterpret_cast<double const &>(a);
  double const & B = reinterpret_cast<double const &>(b);

  double const *C = reinterpret_cast<double const *>(&c);
  double *D = reinterpret_cast<double *>(&d);

  asm volatile("mma.sync.aligned.m8n8k4.row.col.f64.f64.f64.f64 {%0,%1}, {%2}, {%3}, {%4,%5};\n"
      : "=d"(D[0]), "=d"(D[1])
      : "d"(A), "d"(B), "d"(C[0]), "d"(C[1]));

#else

    CUTLASS_UNUSED(d);
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_NOT_IMPLEMENTED();
    
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16816 - S8 input, S32 accumulation
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  int8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 8>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;

  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)
    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.s8.s8.s32 {%0,%1,%2,%3}, {%4,%5}, {%6}, "
        "{%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  uint8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 8>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)
    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.u8.s8.s32 {%0,%1,%2,%3}, {%4,%5}, {%6}, "
        "{%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  int8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 8>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.s8.u8.s32 {%0,%1,%2,%3}, {%4,%5}, {%6}, "
        "{%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  uint8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 8>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.u8.u8.s32 {%0,%1,%2,%3}, {%4,%5}, {%6}, "
        "{%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));


#else
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16816 - S8 input, S32 accumulation - SATURATE
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  int8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 8>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.s8.s8.s32.satfinite {%0,%1,%2,%3}, {%4,%5}, "
        "{%6}, {%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  uint8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 8>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.u8.s8.s32.satfinite {%0,%1,%2,%3}, {%4,%5}, "
        "{%6}, {%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  int8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 8>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.s8.u8.s32.satfinite {%0,%1,%2,%3}, {%4,%5}, "
        "{%6}, {%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));
    
#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,16>,
  32,
  uint8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,16>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 8>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 4>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const &B = reinterpret_cast<uint32_t const &>(b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k16.row.col.s32.u8.u8.s32.satfinite {%0,%1,%2,%3}, {%4,%5}, "
        "{%6}, {%7,%8,%9,%10};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(B), "r"(C[0]), "r"(C[1]), "r"(C[2]),
          "r"(C[3]));

#else
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16832 - S8 input, S32 accumulation
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  int8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 16>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.s8.s8.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  uint8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 16>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.u8.s8.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  int8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 16>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.s8.u8.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  uint8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 16>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.u8.u8.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16832 - S8 input, S32 accumulation - SATURATE
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  int8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 16>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  uint32_t const * A = reinterpret_cast<uint32_t const *>(&a);
  uint32_t const * B = reinterpret_cast<uint32_t const *>(&b);

  int const *C = reinterpret_cast<int const *>(&c);
  int *D = reinterpret_cast<int *>(&d);

  asm volatile(
      "mma.sync.aligned.m16n8k32.row.col.s32.s8.s8.s32.satfinite {%0,%1,%2,%3}, "
      "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
      : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
      : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
        "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * S8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  uint8_t,
  layout::RowMajor,
  int8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 16>;

  using ElementB = int8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<int8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.u8.s8.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  int8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = int8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<int8_t, 16>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.s8.u8.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U8 * U8 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,32>,
  32,
  uint8_t,
  layout::RowMajor,
  uint8_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16,8,32>;

  using ElementA = uint8_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<uint8_t, 16>;

  using ElementB = uint8_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<uint8_t, 8>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k32.row.col.s32.u8.u8.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16864 - S4 input, S32 accumulation
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S4 * S4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::int4b_t,
  layout::RowMajor,
  cutlass::int4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::int4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::int4b_t, 32>;

  using ElementB = cutlass::int4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::int4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.s4.s4.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U4 * S4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::uint4b_t,
  layout::RowMajor,
  cutlass::int4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::uint4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint4b_t, 32>;

  using ElementB = cutlass::int4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::int4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.u4.s4.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S4 * U4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::int4b_t,
  layout::RowMajor,
  cutlass::uint4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::int4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::int4b_t, 32>;

  using ElementB = cutlass::uint4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.s4.u4.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U4 * U4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::uint4b_t,
  layout::RowMajor,
  cutlass::uint4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::uint4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint4b_t, 32>;

  using ElementB = cutlass::uint4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.u4.u4.s32 {%0,%1,%2,%3}, {%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};


////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 16864 - S4 input, S32 accumulation - SATURATE
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = S4 * S4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::int4b_t,
  layout::RowMajor,
  cutlass::int4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::int4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::int4b_t, 32>;

  using ElementB = cutlass::int4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::int4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

  uint32_t const * A = reinterpret_cast<uint32_t const *>(&a);
  uint32_t const * B = reinterpret_cast<uint32_t const *>(&b);

  int const *C = reinterpret_cast<int const *>(&c);
  int *D = reinterpret_cast<int *>(&d);

  asm volatile(
      "mma.sync.aligned.m16n8k64.row.col.s32.s4.s4.s32.satfinite {%0,%1,%2,%3}, "
      "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
      : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
      : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
        "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U4 * S4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::uint4b_t,
  layout::RowMajor,
  cutlass::int4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::uint4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint4b_t, 32>;

  using ElementB = cutlass::int4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::int4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.u4.s4.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = S4 * U4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::int4b_t,
  layout::RowMajor,
  cutlass::uint4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::int4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::int4b_t, 32>;

  using ElementB = cutlass::uint4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.s4.u4.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = U4 * U4 + S32
template <>
struct Mma<
  gemm::GemmShape<16, 8, 64>,
  32,
  cutlass::uint4b_t,
  layout::RowMajor,
  cutlass::uint4b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAddSaturate> {

  using Shape = gemm::GemmShape<16, 8, 64>;

  using ElementA = cutlass::uint4b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint4b_t, 32>;

  using ElementB = cutlass::uint4b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint4b_t, 16>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpMultiplyAddSaturate;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k64.row.col.s32.u4.u4.s32.satfinite {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 168256 - B1 input, S32 accumulation - AND,POPC
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = B1 & B1 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,256>,
  32,
  cutlass::uint1b_t,
  layout::RowMajor,
  cutlass::uint1b_t,
  layout::ColumnMajor,
  int32_t,
  layout::RowMajor,
  OpAndPopc> {

  using Shape = gemm::GemmShape<16,8,256>;

  using ElementA = cutlass::uint1b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint1b_t, 128>;

  using ElementB = cutlass::uint1b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint1b_t, 64>;

  using ElementC = int32_t;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int32_t, 4>;

  using Operator = OpAndPopc;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k256.row.col.s32.b1.b1.s32.and.popc {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

/// Matrix multiply-add operation: S32 = B1 & B1 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,256>,
  32,
  cutlass::uint1b_t,
  layout::RowMajor,
  cutlass::uint1b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpMultiplyAdd> {

  using Shape = gemm::GemmShape<16,8,256>;

  using ElementA = cutlass::uint1b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint1b_t, 128>;

  using ElementB = cutlass::uint1b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint1b_t, 64>;

  using ElementC = int32_t;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int32_t, 4>;

  using Operator = OpMultiplyAdd;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k256.row.col.s32.b1.b1.s32.and.popc {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);
#endif
  }
};

////////////////////////////////////////////////////////////////////////////////
//
// Matrix Multiply 168256 - B1 input, S32 accumulation - XOR,POPC
//
////////////////////////////////////////////////////////////////////////////////

/// Matrix multiply-add operation: S32 = B1 & B1 + S32
template <>
struct Mma<
  gemm::GemmShape<16,8,256>,
  32,
  cutlass::uint1b_t,
  layout::RowMajor,
  cutlass::uint1b_t,
  layout::ColumnMajor,
  int,
  layout::RowMajor,
  OpXorPopc> {

  using Shape = gemm::GemmShape<16,8,256>;

  using ElementA = cutlass::uint1b_t;
  using LayoutA = layout::RowMajor;
  using FragmentA = Array<cutlass::uint1b_t, 128>;

  using ElementB = cutlass::uint1b_t;
  using LayoutB = layout::ColumnMajor;
  using FragmentB = Array<cutlass::uint1b_t, 64>;

  using ElementC = int;
  using LayoutC = layout::RowMajor;
  using FragmentC = Array<int, 4>;

  using Operator = OpXorPopc;
  using ArchTag = arch::Sm80;

  /// Computes multiply-add
  CUTLASS_HOST_DEVICE
  void operator()(
    FragmentC &d,
    FragmentA const &a,
    FragmentB const &b,
    FragmentC const &c
  ) const {

#if defined(CUTLASS_ARCH_MMA_SM80_ENABLED)

    uint32_t const *A = reinterpret_cast<uint32_t const *>(&a);
    uint32_t const *B = reinterpret_cast<uint32_t const *>(&b);

    int const *C = reinterpret_cast<int const *>(&c);
    int *D = reinterpret_cast<int *>(&d);

    asm volatile(
        "mma.sync.aligned.m16n8k256.row.col.s32.b1.b1.s32.xor.popc {%0,%1,%2,%3}, "
        "{%4,%5,%6,%7}, "
        "{%8,%9}, {%10,%11,%12,%13};\n"
        : "=r"(D[0]), "=r"(D[1]), "=r"(D[2]), "=r"(D[3])
        : "r"(A[0]), "r"(A[1]), "r"(A[2]), "r"(A[3]), "r"(B[0]), "r"(B[1]),
          "r"(C[0]), "r"(C[1]), "r"(C[2]), "r"(C[3]));

#else
    
    CUTLASS_UNUSED(a);
    CUTLASS_UNUSED(b);
    CUTLASS_UNUSED(c);
    CUTLASS_UNUSED(d);
    assert(0);

#endif // defined(CUTLASS_ARCH_MMA_SM80_ENABLED)
  }
};

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

} // namespace arch
} // namespace cutlass

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