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/*! \file
    \brief 
    Default kernel-level implicit GEMM convolution definitions combine threadblock-scoped 
      matrix multiply-add with the appropriate threadblock-scoped epilogue.
*/

#pragma once

#include "cutlass/cutlass.h"
#include "cutlass/conv/kernel/default_conv2d.h"

#include "cutlass/conv/threadblock/conv2d_dgrad_output_gradient_tile_access_iterator_analytic.h"
#include "cutlass/conv/threadblock/conv2d_dgrad_output_gradient_tile_access_iterator_optimized.h" 
#include "cutlass/conv/threadblock/conv2d_dgrad_filter_tile_access_iterator_analytic.h"
#include "cutlass/conv/threadblock/conv2d_dgrad_filter_tile_access_iterator_optimized.h"
#include "cutlass/conv/threadblock/conv2d_tile_iterator.h"

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

namespace cutlass {
namespace conv {
namespace kernel {

/////////////////////////////////////////////////////////////////////////////////////////////////
/// Defines a kernel for Conv2dDgrad
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename OperatorClass,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  conv::IteratorAlgorithm IteratorAlgorithm = IteratorAlgorithm::kOptimized,
  conv::StrideSupport StrideSupport = StrideSupport::kStrided,
  /// Access granularity of A matrix in units of elements
  int AlignmentA = 128 / cutlass::sizeof_bits<ElementA>::value,
  /// Access granularity of B matrix in units of elements
  int AlignmentB = 128 / cutlass::sizeof_bits<ElementB>::value
> struct DefaultConv2dDgrad;

/////////////////////////////////////////////////////////////////////////////////////////////////
//                               OpClassTensorOp convolutions 
/////////////////////////////////////////////////////////////////////////////////////////////////

/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm Dgrad Strided and
// multistage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      StrideSupport::kStrided,
      AccessTypeA
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      StrideSupport::kStrided,
      AccessTypeB
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  static cutlass::arch::CacheOperation::Kind const CacheOpB =
      ((sizeof_bits<ElementB>::value * AlignmentB) == 128)
          ? cutlass::arch::CacheOperation::Global
          : cutlass::arch::CacheOperation::Always;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    CacheOpB,
    MmaPolicy,
    Stages 
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOpStridedDgrad<
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm Dgrad Strided
// and 2 stage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        StrideSupport::kStrided,
        AccessTypeA 
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        StrideSupport::kStrided,
        AccessTypeB 
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename detail::DefaultConvEpilogueStridedDgrad<
    ArchTag,
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

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

/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm Dgrad Unity Strided
// and multistage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      StrideSupport::kUnity,
      AccessTypeA
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      StrideSupport::kUnity,
      AccessTypeB
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  static cutlass::arch::CacheOperation::Kind const CacheOpB =
      ((sizeof_bits<ElementB>::value * AlignmentB) == 128)
          ? cutlass::arch::CacheOperation::Global
          : cutlass::arch::CacheOperation::Always;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    CacheOpB,
    MmaPolicy,
    Stages 
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOp<
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm Dgrad Unity
// 2 stage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        StrideSupport::kUnity,
        AccessTypeA
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        StrideSupport::kUnity,
        AccessTypeB
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename detail::DefaultConvEpilogue<
    ArchTag,
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

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

/// Defines a kernel for Conv2dDgrad specialization for optimized IteratorAlgorithm Dgrad Unity Strided
// and multistage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      StrideSupport::kUnity,
      AccessTypeA
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      StrideSupport::kUnity,
      AccessTypeB
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  static cutlass::arch::CacheOperation::Kind const CacheOpB =
      ((sizeof_bits<ElementB>::value * AlignmentB) == 128)
          ? cutlass::arch::CacheOperation::Global
          : cutlass::arch::CacheOperation::Always;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    CacheOpB,
    MmaPolicy,
    Stages 
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOp<
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/// Defines a kernel for Conv2dDgrad specialization for Optimized IteratorAlgorithm Dgrad Strided and
// multistage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      StrideSupport::kStrided,
      AccessTypeA
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      StrideSupport::kStrided,
      AccessTypeB
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  static cutlass::arch::CacheOperation::Kind const CacheOpB =
      ((sizeof_bits<ElementB>::value * AlignmentB) == 128)
          ? cutlass::arch::CacheOperation::Global
          : cutlass::arch::CacheOperation::Always;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    CacheOpB,
    MmaPolicy,
    Stages 
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOpStridedDgrad<
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/// Defines a kernel for Conv2dDgrad specialization for Optimized IteratorAlgorithm Dgrad Strided
// and 2 stage pipeline.
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        StrideSupport::kStrided,
        AccessTypeA
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        StrideSupport::kStrided,
        AccessTypeB
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename detail::DefaultConvEpilogueStridedDgrad<
    ArchTag,
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/// Defines a kernel for Conv2dDgrad specialization for Optimized IteratorAlgorithm Dgrad Unity
// 2 stage pipeline
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassTensorOp,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassTensorOp,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::AlignedArray<ElementA, AlignmentA>;
  using IteratorA =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        StrideSupport::kUnity,
        AccessTypeA
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::AlignedArray<ElementB, AlignmentB>;
  using IteratorB =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        StrideSupport::kUnity,
        AccessTypeB
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaTensorOp = typename MmaCore::MmaTensorOp;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  static const int kPartitionsK = ThreadblockShape::kK / WarpShape::kK;

  // Define the epilogue
  using Epilogue = typename detail::DefaultConvEpilogue<
    ArchTag,
    ThreadblockShape,
    WarpMmaTensorOp,
    kPartitionsK,
    EpilogueOutputOp
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/////////////////////////////////////////////////////////////////////////////////////////////////
//                            OpClassSimt convolutions 
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm, 
/// multi-stage pipeline, and FFMA-based mainloop for SM80

template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  conv::StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      conv::StrideSupport::kUnity
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      conv::StrideSupport::kUnity
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    arch::CacheOperation::Always,
    MmaPolicy,
    Stages 
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimt<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};

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

template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  conv::StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      conv::StrideSupport::kStrided
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      conv::StrideSupport::kStrided
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    arch::CacheOperation::Always,
    MmaPolicy,
    Stages 
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimtStridedDgrad<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};

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

/// Defines a kernel for Conv2dDgrad specialization for Optimized IteratorAlgorithm, 
/// multi-stage pipeline, and FFMA-based mainloop for SM80

template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      StrideSupport::kUnity
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      StrideSupport::kUnity
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    arch::CacheOperation::Always,
    MmaPolicy,
    Stages 
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimt<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

/////////////////////////////////////////////////////////////////////////////////////////////////
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  int Stages,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  Stages,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  conv::StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      Stages, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
      ElementA,
      ThreadMapA,
      conv::StrideSupport::kStrided
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
      cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
      ElementB,
      ThreadMapB,
      conv::StrideSupport::kStrided
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmMultistage<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    arch::CacheOperation::Always,
    IteratorB,
    SmemIteratorB,
    arch::CacheOperation::Always,
    MmaPolicy,
    Stages 
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimtStridedDgrad<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};
/////////////////////////////////////////////////////////////////////////////////////////////////

/// Defines a kernel for Conv2dDgrad specialization for Analytic IteratorAlgorithm, 
/// 2 stage pipeline, and FFMA-based mainloop for SM50
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  conv::StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        conv::StrideSupport::kUnity
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        conv::StrideSupport::kUnity
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimt<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};
/////////////////////////////////////////////////////////////////////////////////////////////////

template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kAnalytic,
  conv::StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        conv::StrideSupport::kStrided
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorAnalytic<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        conv::StrideSupport::kStrided
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimtStridedDgrad<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;
};

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

/// Defines a kernel for Conv2dDgrad specialization for Optimized IteratorAlgorithm, 
/// 2 stage pipeline, and FFMA-based mainloop for SM50
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  StrideSupport::kUnity,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        StrideSupport::kUnity
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::TileIterator<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        StrideSupport::kUnity
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimt<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolution<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};

/////////////////////////////////////////////////////////////////////////////////////////////////
template <
  typename ElementA,
  typename LayoutA,
  typename ElementB,
  typename LayoutB,
  typename ElementC,
  typename LayoutC,
  typename ElementAccumulator,
  typename ArchTag,
  typename ThreadblockShape,
  typename WarpShape,
  typename InstructionShape,
  typename EpilogueOutputOp,
  typename ThreadblockSwizzle,
  typename MathOperatorTag,
  int AlignmentA,
  int AlignmentB
>
struct DefaultConv2dDgrad <
  ElementA,
  LayoutA,
  ElementB,
  LayoutB,
  ElementC,
  LayoutC,
  ElementAccumulator,
  arch::OpClassSimt,
  ArchTag,
  ThreadblockShape,
  WarpShape,
  InstructionShape,
  EpilogueOutputOp,
  ThreadblockSwizzle,
  2,
  MathOperatorTag,
  IteratorAlgorithm::kOptimized,
  conv::StrideSupport::kStrided,
  AlignmentA,
  AlignmentB
> {

  // Define the core components from GEMM
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, layout::RowMajor,
      ElementB, layout::RowMajor, ElementAccumulator, layout::RowMajor, arch::OpClassSimt,
      2, MathOperatorTag>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using IteratorA =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradOutputGradientTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
        ElementA,
        ThreadMapA,
        conv::StrideSupport::kStrided
      >
    >;

  using SmemIteratorA = typename MmaCore::SmemIteratorA;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using IteratorB =
    cutlass::conv::threadblock::TileIteratorStridedDgrad<
      cutlass::conv::threadblock::Conv2dDgradFilterTileAccessIteratorOptimized<
        cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
        ElementB,
        ThreadMapB,
        conv::StrideSupport::kStrided
      >
    >;
  
  using SmemIteratorB = typename MmaCore::SmemIteratorB;

  // Warp-level GEMM components
  using WarpMmaSimtOp = typename MmaCore::MmaWarpSimt;
  using MmaPolicy = typename MmaCore::MmaPolicy;

  // Define the Mma
  using Mma = threadblock::ImplicitGemmPipelined<
    ThreadblockShape,
    IteratorA,
    SmemIteratorA,
    IteratorB,
    SmemIteratorB,
    ElementC,
    LayoutC,
    MmaPolicy
  >;

  // Define the epilogue
  using Epilogue = typename epilogue::threadblock::DefaultEpilogueSimtStridedDgrad<
    ThreadblockShape,
    WarpMmaSimtOp,
    EpilogueOutputOp,
    EpilogueOutputOp::kCount
  >::Epilogue;

  // Define the kernel
  using Kernel = cutlass::conv::kernel::ImplicitGemmConvolutionStridedDgrad<
    Mma,
    Epilogue,
    ThreadblockSwizzle,
    conv::Operator::kDgrad
  >;

};

} // namespace kernel
} // namespace conv
} // namespace cutlass

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