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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_fprop_activation_tile_access_iterator_analytic.h"
#include "cutlass/conv/threadblock/conv2d_fprop_filter_tile_access_iterator_analytic.h"
#include "cutlass/conv/threadblock/conv2d_fprop_activation_tile_access_iterator_optimized.h"
#include "cutlass/conv/threadblock/conv2d_fprop_filter_tile_access_iterator_optimized.h"

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

namespace cutlass {
namespace conv {
namespace kernel {

/////////////////////////////////////////////////////////////////////////////////////////////////
/// Defines a kernel for Conv2dFprop
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::kAnalytic,
          conv::StrideSupport StrideSupport = StrideSupport::kStrided>
struct DefaultConv2dFprop;

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

/// Defines a kernel for Conv2dFprop specialzation for Analytic
/// IteratorAlgorithm 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, ElementAccumulator,
            layout::RowMajor, arch::OpClassTensorOp, Stages, MathOperatorTag>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::IteratorThreadMapA;
    using IteratorA = cutlass::conv::threadblock::
            Conv2dFpropActivationTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, LayoutA, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::IteratorThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, LayoutB, ThreadMapB>;

    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::ImplicitGemmMultistage<
            ThreadblockShape, IteratorA, SmemIteratorA,
            arch::CacheOperation::Always, IteratorB, SmemIteratorB,
            arch::CacheOperation::Global, MmaPolicy, Stages>;

    // Define the epilogue
    using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOp<
            ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
            EpilogueOutputOp::kCount>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Analytic
/// IteratorAlgorithm and multistage pipeline with interleaved layout.
template <typename ElementA, typename ElementB, typename ElementC,
          typename LayoutC, typename ElementAccumulator, typename ArchTag,
          typename ThreadblockShape, typename WarpShape,
          typename InstructionShape, typename EpilogueOutputOp,
          typename ThreadblockSwizzle, int Stages, typename MathOperatorTag,
          int InterleavedK>
struct DefaultConv2dFprop<
        ElementA, layout::TensorNCxHWx<InterleavedK>, ElementB,
        layout::TensorCxRSKx<InterleavedK>, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::ColumnMajorInterleaved<InterleavedK>, ElementB,
            layout::RowMajorInterleaved<InterleavedK>, ElementAccumulator,
            LayoutC, arch::OpClassTensorOp, Stages, MathOperatorTag, true>;

    // Define iterators over tiles from the A operand
    // Note GEMM shared memory threadmap is used here because conv global memory
    // layout needs to be mapped to fprop which is similar to the crosswise
    // layout which is used by the interleaved GEMM shared memory threadmap.
    // The Interleaved GEMM global memory layout is similar to the congruous
    // layout.
    using ThreadMapA = typename MmaCore::SmemThreadMapA;
    using IteratorA = cutlass::conv::threadblock::
            Conv2dFpropActivationTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, layout::TensorNCxHWx<InterleavedK>, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    // Note GEMM shared memory threadmap is used here because conv global memory
    // layout needs to be mapped to fprop which is similar to the crosswise
    // layout which is used by the interleaved GEMM shared memory threadmap.
    // The Interleaved GEMM global memory layout is similar to the congruous
    // layout.
    using ThreadMapB = typename MmaCore::SmemThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, layout::TensorCxRSKx<InterleavedK>, ThreadMapB>;

    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::ImplicitGemmMultistage<
            ThreadblockShape, IteratorA, SmemIteratorA,
            arch::CacheOperation::Always, IteratorB, SmemIteratorB,
            arch::CacheOperation::Global, MmaPolicy, Stages>;

    // Define the epilogue
    using Epilogue =
            typename epilogue::threadblock::DefaultInterleavedConvEpilogue<
                    ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
                    EpilogueOutputOp::kCount, InterleavedK>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Analytic
/// IteratorAlgorithm 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, ElementAccumulator,
            layout::RowMajor, arch::OpClassTensorOp, 2, MathOperatorTag>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::IteratorThreadMapA;
    using IteratorA = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropActivationTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, LayoutA, ThreadMapA> >;

    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::
                    Conv2dFpropFilterTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, LayoutB, ThreadMapB> >;

    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>;

    // Define the epilogue
    using Epilogue =
            typename detail::DefaultConvEpilogue<ArchTag, ThreadblockShape,
                                                 WarpMmaTensorOp, 1,
                                                 EpilogueOutputOp>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Analytic
/// IteratorAlgorithm and 2 stage pipeline with interleaved layout.
template <typename ElementA, typename ElementB, typename ElementC,
          typename LayoutC, typename ElementAccumulator, typename ArchTag,
          typename ThreadblockShape, typename WarpShape,
          typename InstructionShape, typename EpilogueOutputOp,
          typename ThreadblockSwizzle, typename MathOperatorTag,
          int InterleavedK>
struct DefaultConv2dFprop<
        ElementA, layout::TensorNCxHWx<InterleavedK>, ElementB,
        layout::TensorCxRSKx<InterleavedK>, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::ColumnMajorInterleaved<InterleavedK>, ElementB,
            layout::RowMajorInterleaved<InterleavedK>, ElementAccumulator,
            LayoutC, arch::OpClassTensorOp, 2, MathOperatorTag, true>;

    // Define iterators over tiles from the A operand
    // Note GEMM shared memory threadmap is used here because conv global memory
    // layout needs to be mapped to fprop which is similar to the crosswise
    // layout which is used by the interleaved GEMM shared memory threadmap.
    // The Interleaved GEMM global memory layout is similar to the congruous
    // layout.
    using ThreadMapA = typename MmaCore::SmemThreadMapA;
    using IteratorA = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropActivationTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, layout::TensorNCxHWx<InterleavedK>,
                            ThreadMapA> >;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    // Note GEMM shared memory threadmap is used here because conv global memory
    // layout needs to be mapped to fprop which is similar to the crosswise
    // layout which is used by the interleaved GEMM shared memory threadmap.
    // The Interleaved GEMM global memory layout is similar to the congruous
    // layout.
    using ThreadMapB = typename MmaCore::SmemThreadMapB;
    using IteratorB = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropFilterTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, layout::TensorCxRSKx<InterleavedK>,
                            ThreadMapB> >;

    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>;

    // Define the epilogue
    using Epilogue =
            typename epilogue::threadblock::DefaultInterleavedConvEpilogue<
                    ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
                    EpilogueOutputOp::kCount, InterleavedK>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Optimzed
/// IteratorAlgorithm 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, ElementAccumulator,
            layout::RowMajor, arch::OpClassTensorOp, Stages, MathOperatorTag>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::IteratorThreadMapA;
    using IteratorA = cutlass::conv::threadblock::
            Conv2dFpropActivationTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, LayoutA, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::IteratorThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, LayoutB, ThreadMapB>;

    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::ImplicitGemmMultistage<
            ThreadblockShape, IteratorA, SmemIteratorA,
            arch::CacheOperation::Always, IteratorB, SmemIteratorB,
            arch::CacheOperation::Global, MmaPolicy, Stages>;

    // Define the epilogue
    using Epilogue = typename epilogue::threadblock::DefaultEpilogueTensorOp<
            ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
            EpilogueOutputOp::kCount>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Optimzed
/// IteratorAlgorithm and
// multistage pipeline with interleaved layout.
template <typename ElementA, typename ElementB, typename ElementC,
          typename LayoutC, typename ElementAccumulator, typename ArchTag,
          typename ThreadblockShape, typename WarpShape,
          typename InstructionShape, typename EpilogueOutputOp,
          typename ThreadblockSwizzle, int Stages, typename MathOperatorTag,
          int InterleavedK>
struct DefaultConv2dFprop<
        ElementA, layout::TensorNCxHWx<InterleavedK>, ElementB,
        layout::TensorCxRSKx<InterleavedK>, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::ColumnMajorInterleaved<InterleavedK>, ElementB,
            layout::RowMajorInterleaved<InterleavedK>, ElementAccumulator,
            LayoutC, arch::OpClassTensorOp, Stages, MathOperatorTag, true>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::SmemThreadMapA;
    using IteratorA = cutlass::conv::threadblock::
            Conv2dFpropActivationTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, layout::TensorNCxHWx<InterleavedK>, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::SmemThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, layout::TensorCxRSKx<InterleavedK>, ThreadMapB>;

    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::ImplicitGemmMultistage<
            ThreadblockShape, IteratorA, SmemIteratorA,
            arch::CacheOperation::Always, IteratorB, SmemIteratorB,
            arch::CacheOperation::Global, MmaPolicy, Stages>;

    // Define the epilogue
    using Epilogue =
            typename epilogue::threadblock::DefaultInterleavedConvEpilogue<
                    ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
                    EpilogueOutputOp::kCount, InterleavedK>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Optimized
/// IteratorAlgorithm 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, ElementAccumulator,
            layout::RowMajor, arch::OpClassTensorOp, 2, MathOperatorTag>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::IteratorThreadMapA;
    using IteratorA = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropActivationTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, LayoutA, ThreadMapA> >;

    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::
                    Conv2dFpropFilterTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, LayoutB, ThreadMapB> >;

    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>;

    // Define the epilogue
    using Epilogue =
            typename detail::DefaultConvEpilogue<ArchTag, ThreadblockShape,
                                                 WarpMmaTensorOp, 1,
                                                 EpilogueOutputOp>::Epilogue;

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

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

/// Defines a kernel for Conv2dFprop specialzation for Optimized
/// IteratorAlgorithm and 2 stage pipeline with interleaved layout.
template <typename ElementA, typename ElementB, typename ElementC,
          typename LayoutC, typename ElementAccumulator, typename ArchTag,
          typename ThreadblockShape, typename WarpShape,
          typename InstructionShape, typename EpilogueOutputOp,
          typename ThreadblockSwizzle, typename MathOperatorTag,
          int InterleavedK>
struct DefaultConv2dFprop<
        ElementA, layout::TensorNCxHWx<InterleavedK>, ElementB,
        layout::TensorCxRSKx<InterleavedK>, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassTensorOp, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::ColumnMajorInterleaved<InterleavedK>, ElementB,
            layout::RowMajorInterleaved<InterleavedK>, ElementAccumulator,
            LayoutC, arch::OpClassTensorOp, 2, MathOperatorTag, true>;

    // Define iterators over tiles from the A operand
    using ThreadMapA = typename MmaCore::SmemThreadMapA;
    using IteratorA = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropActivationTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, layout::TensorNCxHWx<InterleavedK>,
                            ThreadMapA> >;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::SmemThreadMapB;
    using IteratorB = cutlass::conv::threadblock::TileIterator<
            cutlass::conv::threadblock::
                    Conv2dFpropFilterTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, layout::TensorCxRSKx<InterleavedK>,
                            ThreadMapB> >;

    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>;

    // Define the epilogue
    using Epilogue =
            typename epilogue::threadblock::DefaultInterleavedConvEpilogue<
                    ThreadblockShape, WarpMmaTensorOp, 1, EpilogueOutputOp,
                    EpilogueOutputOp::kCount, InterleavedK>::Epilogue;

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

/////////////////////////////////////////////////////////////////////////////////////////////////
//                            OpClassSimt convolutions
/////////////////////////////////////////////////////////////////////////////////////////////////
/// Defines a kernel for Conv2dFprop specialzation 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassSimt, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, 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::
            Conv2dFpropActivationTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, LayoutA, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::IteratorThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorAnalytic<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, LayoutB, ThreadMapB>;

    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::kFprop>;
};

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

/// Defines a kernel for Conv2dFprop specialzation 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassSimt, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle,
        Stages, MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, 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::
            Conv2dFpropActivationTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kM,
                                         ThreadblockShape::kK>,
                    ElementA, LayoutA, ThreadMapA>;

    using SmemIteratorA = typename MmaCore::SmemIteratorA;

    // Define iterators over tiles from the B operand
    using ThreadMapB = typename MmaCore::IteratorThreadMapB;
    using IteratorB = cutlass::conv::threadblock::
            Conv2dFpropFilterTileAccessIteratorOptimized<
                    cutlass::MatrixShape<ThreadblockShape::kK,
                                         ThreadblockShape::kN>,
                    ElementB, LayoutB, ThreadMapB>;

    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::kFprop>;
};

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

/// Defines a kernel for Conv2dFprop specialzation 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassSimt, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kAnalytic> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, 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::
                    Conv2dFpropActivationTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, LayoutA, ThreadMapA> >;

    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::
                    Conv2dFpropFilterTileAccessIteratorAnalytic<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, LayoutB, ThreadMapB> >;

    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::kFprop>;
};

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

/// Defines a kernel for Conv2dFprop specialzation 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>
struct DefaultConv2dFprop<
        ElementA, LayoutA, ElementB, LayoutB, ElementC, LayoutC,
        ElementAccumulator, arch::OpClassSimt, ArchTag, ThreadblockShape,
        WarpShape, InstructionShape, EpilogueOutputOp, ThreadblockSwizzle, 2,
        MathOperatorTag, IteratorAlgorithm::kOptimized> {
    // Define the core components from GEMM
    using MmaCore = typename cutlass::gemm::threadblock::DefaultMmaCore<
            ThreadblockShape, WarpShape, InstructionShape, ElementA,
            layout::RowMajor, ElementB, layout::ColumnMajor, 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::
                    Conv2dFpropActivationTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kM,
                                                 ThreadblockShape::kK>,
                            ElementA, LayoutA, ThreadMapA> >;

    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::
                    Conv2dFpropFilterTileAccessIteratorOptimized<
                            cutlass::MatrixShape<ThreadblockShape::kK,
                                                 ThreadblockShape::kN>,
                            ElementB, LayoutB, ThreadMapB> >;

    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::kFprop>;
};

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

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

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