adding the cutlass examples

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+/***************************************************************************************************
+ * Copyright (c) 2017-2018, NVIDIA CORPORATION.  All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are permitted
+ * provided that the following conditions are met:
+ *     * Redistributions of source code must retain the above copyright notice, this list of
+ *       conditions and the following disclaimer.
+ *     * Redistributions in binary form must reproduce the above copyright notice, this list of
+ *       conditions and the following disclaimer in the documentation and/or other materials
+ *       provided with the distribution.
+ *     * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used
+ *       to endorse or promote products derived from this software without specific prior written
+ *       permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
+ * OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ **************************************************************************************************/
+/*! \file
+    \brief Defies structural properties of GEMM targeting WMMA API in CUDA.
+*/
+#pragma once
+
+#include <cutlass/wmma_matrix.h>
+#ifdef CUTLASS_USE_WMMA_API
+
+#include <cutlass/convert.h>
+#include <cutlass/gemm/gemm.h>
+#include <cutlass/gemm/gemm_epilogue.h>
+#include <cutlass/gemm/gemm_epilogue_traits.h>
+#include <cutlass/gemm/gemm_global_tile.h>
+#include <cutlass/gemm/gemm_shared_tile.h>
+#include <cutlass/gemm/gemm_traits.h>
+#include <cutlass/gemm/wmma_gemm_epilogue_traits.h>
+#include <cutlass/gemm/wmma_gemm_global_tile.h>
+#include <cutlass/gemm/wmma_gemm_multiply_add.h>
+
+namespace cutlass {
+namespace gemm {
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <
+    /// The layout for A.
+    MatrixLayout::Kind kLayoutA_,
+    /// The layout for B.
+    MatrixLayout::Kind kLayoutB_,
+    /// The tile size for the GEMM KxNxM.
+    typename OutputTile_,
+    /// The output type.
+    typename ScalarC_,
+    /// The accumulator type.
+    typename Accumulator_,
+    /// The number of accumulators per warp.
+    typename AccumulatorsPerWarp_,
+    /// The shape of the WMMA instruction.
+    typename InstructionShape_,
+    /// The number of scalars per LDG for A.
+    int kScalarsPerLdgA_,
+    /// The number of scalars per LDG for B.
+    int kScalarsPerLdgB_>
+struct WmmaGemmConfig : public GemmConfig<
+                            /// The scalar type for A.
+                            half,
+                            /// The scalar type for B.
+                            half,
+                            /// The scalar type for C.
+                            ScalarC_,
+                            /// The scalar type for D.
+                            ScalarC_,
+                            /// The tile size for the GEMM KxNxM.
+                            OutputTile_,
+                            /// The functor to do the math in the main loop.
+                            WmmaGemmMultiplyAdd<kLayoutA_,
+                                                half,
+                                                kLayoutB_,
+                                                half,
+                                                MatrixLayout::kColumnMajor,
+                                                Accumulator_,
+                                                AccumulatorsPerWarp_,
+                                                InstructionShape_>,
+                            /// The number of scalars per LDG for A.
+                            kScalarsPerLdgA_,
+                            /// The number of scalars per STS for A.
+                            kScalarsPerLdgA_,
+                            /// The number of scalars per LDS for A.
+                            8,
+                            /// The number of scalars per LDG for B.
+                            kScalarsPerLdgB_,
+                            /// The number of scalars per STS for B.
+                            kScalarsPerLdgB_,
+                            /// The number of scalars per LDS for B.
+                            8,
+                            /// The number of scalars per LDG for C and STG for D.
+                            16 / sizeof(ScalarC_),
+                            /// The number of scalars per STS for D.
+                            16 / sizeof(ScalarC_),
+                            /// The number of scalars per LDS for D.
+                            16 / sizeof(ScalarC_),
+                            /// The number of stages in shared memory.
+                            1> {};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <enum MatrixLayout::Kind kLayout_, typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperA {};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperA<MatrixLayout::kColumnMajor, GemmConfig_>
+    : public GemmTileTraitsHelperA<MatrixLayout::kColumnMajor, GemmConfig_> {
+  /// The base config.
+  typedef GemmTileTraitsHelperA<MatrixLayout::kColumnMajor, GemmConfig_> Base;
+
+  /// The skew.
+  static int const kSkew = 16 / sizeof(typename Base::MultiplyAddScalar);
+  /// The shared tile size.
+  typedef Shape<GemmConfig_::kStages,
+                GemmConfig_::OutputTile::kD,
+                GemmConfig_::OutputTile::kW + kSkew>
+      Tile;
+
+  /// WMMA matrix
+  typedef WmmaMatrix<GemmOperand::kA,
+                     MatrixLayout::kColumnMajor,
+                     typename Base::MultiplyAddScalar,
+                     typename GemmConfig_::InstructionShape>
+      WmmaMatrix;
+
+  /// The traits class to build the iterator to store data to shared memory for A^N.
+  typedef GemmSharedStoreTileAbTraits<
+      // The pointer.
+      typename Base::MultiplyAddScalar,
+      // The tile has size KxM in GEMM's terminology.
+      Tile,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      typename Base::GlobalTileTraits::Threads,
+      // The number of scalars per STS (STS.32 or STS.128, etc).
+      GemmConfig_::kScalarsPerStsA>
+      SharedStoreTileTraits;
+
+  /// The number of elements loaded in one LDG.
+  static int const kScalarsPerW = GemmConfig_::InstructionShape::kW * GemmConfig_::Warps::kW;
+  /// The number of scalars loaded per iteration.
+  static int const kScalarsPerIteration = Tile::kW * GemmConfig_::InstructionShape::kD;
+  /// The traits class to build the iterator to load from shared memory for A.
+  typedef WmmaGemmSharedLoadTileATraits<
+      // The layout of the matrix.
+      MatrixLayout::kColumnMajor,
+      // The pointer.
+      typename Base::MultiplyAddScalar,
+      // The output tile size.
+      Tile,
+      // The number of warps.
+      typename GemmConfig_::Warps,
+      // The strides between warps.
+      GemmConfig_::InstructionShape::kW,
+      // The number of iterations to load the data.
+      Shape<1, 1, GemmConfig_::OutputTile::kW / kScalarsPerW>,
+      // The stride between iterations.
+      Shape<kScalarsPerIteration, 0, kScalarsPerW, 0>,
+      // The shape of the instruction.
+      typename GemmConfig_::InstructionShape>
+      SharedLoadTileTraits;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperA<MatrixLayout::kRowMajor, GemmConfig_> {
+  /// The layout.
+  static MatrixLayout::Kind const kLayout = MatrixLayout::kRowMajor;
+
+  /// The input scalar.
+  typedef typename GemmConfig_::ScalarA Scalar;
+  /// The scalar stored in shared memory.
+  typedef typename GemmConfig_::MultiplyAdd::ScalarA MultiplyAddScalar;
+
+  /// WMMA matrix
+  typedef WmmaMatrix<GemmOperand::kA,
+                     MatrixLayout::kRowMajor,
+                     MultiplyAddScalar,
+                     typename GemmConfig_::InstructionShape>
+      WmmaMatrix;
+
+  /// The traits class to build the iterator to load data from global memory for A^T.
+  typedef GemmGlobalTileTraits<
+      // That's A.
+      GemmOperand::kA,
+      // A is row-major.
+      MatrixLayout::kRowMajor,
+      // The pointer is float const.
+      Scalar const,
+      // The tile has size KxM in GEMM's terminology.
+      Shape<1, GemmConfig_::OutputTile::kW, GemmConfig_::OutputTile::kD>,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      Shape<1, GemmConfig_::kThreads / GemmConfig_::OutputTile::kD, GemmConfig_::OutputTile::kD>,
+      // The number of scalars per LDG (LDG.32 or LDG.128, etc).
+      GemmConfig_::kScalarsPerLdgA>
+      GlobalTileTraits;
+
+  /// The skew.
+  static int const kSkew = 16 / sizeof(MultiplyAddScalar);
+  /// The tile.
+  typedef Shape<GemmConfig_::kStages,
+                GemmConfig_::OutputTile::kW,
+                GemmConfig_::OutputTile::kD + kSkew>
+      Tile;
+
+  /// The traits class to build the iterator to store data to shared memory for A^N.
+  typedef GemmSharedStoreTileAbTraits<
+      // The pointer.
+      MultiplyAddScalar,
+      // The tile has size KxM in GEMM's terminology.
+      Tile,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      typename GlobalTileTraits::Threads,
+      // The number of scalars per STS (STS.32 or STS.128, etc).
+      GemmConfig_::kScalarsPerStsA>
+      SharedStoreTileTraits;
+
+  /// The number of elements loaded in one LDG.
+  static int const kScalarsPerW = GemmConfig_::InstructionShape::kW * GemmConfig_::Warps::kW;
+  /// The traits class to build the iterator to load from shared memory for A.
+  typedef WmmaGemmSharedLoadTileATraits<
+      // The layout of the matrix.
+      MatrixLayout::kRowMajor,
+      // The pointer.
+      MultiplyAddScalar,
+      // The tile in shared memory.
+      Tile,
+      // The number of warps.
+      typename GemmConfig_::Warps,
+      // The strides between warps.
+      GemmConfig_::InstructionShape::kW * Tile::kW,
+      // The number of iterations to load the data.
+      Shape<1, 1, GemmConfig_::OutputTile::kW / kScalarsPerW>,
+      // The stride between iterations.
+      Shape<GemmConfig_::InstructionShape::kD, 0, kScalarsPerW * Tile::kW>,
+      // The shape of the instruction.
+      typename GemmConfig_::InstructionShape>
+      SharedLoadTileTraits;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <enum MatrixLayout::Kind kLayout_, typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperB {};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperB<MatrixLayout::kRowMajor, GemmConfig_>
+    : public GemmTileTraitsHelperB<MatrixLayout::kRowMajor, GemmConfig_> {
+  /// The base config.
+  typedef GemmTileTraitsHelperB<MatrixLayout::kRowMajor, GemmConfig_> Base;
+
+  /// The skew.
+  static int const kSkew = 16 / sizeof(typename Base::MultiplyAddScalar);
+  /// The shared tile size.
+  typedef Shape<GemmConfig_::kStages,
+                GemmConfig_::OutputTile::kD,
+                GemmConfig_::OutputTile::kH + kSkew>
+      Tile;
+
+  /// WMMA matrix
+  typedef WmmaMatrix<GemmOperand::kB,
+                     MatrixLayout::kRowMajor,
+                     typename Base::MultiplyAddScalar,
+                     typename GemmConfig_::InstructionShape>
+      WmmaMatrix;
+
+  /// The traits class to build the iterator to store data to shared memory for B^T.
+  typedef GemmSharedStoreTileAbTraits<
+      // The pointer.
+      typename Base::MultiplyAddScalar,
+      // The tile has size KxM in GEMM's terminology.
+      Tile,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      typename Base::GlobalTileTraits::Threads,
+      // The number of scalars per STS (STS.32 or STS.128, etc).
+      GemmConfig_::kScalarsPerStsB>
+      SharedStoreTileTraits;
+
+  /// The number of elements loaded in one LDG.
+  static int const kScalarsPerW = GemmConfig_::InstructionShape::kH * GemmConfig_::Warps::kH;
+  /// The number of scalars loaded per iteration.
+  static int const kScalarsPerIteration = Tile::kW * GemmConfig_::InstructionShape::kD;
+  /// The traits class to build the iterator to load from shared memory for B.
+  typedef WmmaGemmSharedLoadTileBTraits<
+      // The layout of the matrix.
+      MatrixLayout::kRowMajor,
+      // The pointer.
+      typename Base::MultiplyAddScalar,
+      // The output tile size.
+      Tile,
+      // The number of warps.
+      typename GemmConfig_::Warps,
+      // The strides between warps.
+      GemmConfig_::InstructionShape::kH,
+      // The number of iterations to load the data.
+      Shape<1, 1, GemmConfig_::OutputTile::kH / kScalarsPerW>,
+      // The stride between iterations.
+      Shape<kScalarsPerIteration, 0, kScalarsPerW, 0>,
+      // The shape of the instruction.
+      typename GemmConfig_::InstructionShape>
+      SharedLoadTileTraits;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename GemmConfig_>
+struct WmmaGemmTileTraitsHelperB<MatrixLayout::kColumnMajor, GemmConfig_> {
+  /// The layout.
+  static MatrixLayout::Kind const kLayout = MatrixLayout::kColumnMajor;
+
+  /// The input scalar.
+  typedef typename GemmConfig_::ScalarB Scalar;
+  /// The scalar stored in shared memory.
+  typedef typename GemmConfig_::MultiplyAdd::ScalarB MultiplyAddScalar;
+
+  /// WMMA matrix
+  typedef WmmaMatrix<GemmOperand::kB,
+                     MatrixLayout::kColumnMajor,
+                     MultiplyAddScalar,
+                     typename GemmConfig_::InstructionShape>
+      WmmaMatrix;
+
+  /// The traits class to build the iterator to load data from global memory for B^N.
+  typedef GemmGlobalTileTraits<
+      // That's B.
+      GemmOperand::kB,
+      // A is row-major.
+      MatrixLayout::kColumnMajor,
+      // The pointer is float const.
+      Scalar const,
+      // The tile has size KxM in GEMM's terminology.
+      Shape<1, GemmConfig_::OutputTile::kH, GemmConfig_::OutputTile::kD>,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      Shape<1, GemmConfig_::kThreads / GemmConfig_::OutputTile::kD, GemmConfig_::OutputTile::kD>,
+      // The number of scalars per LDG (LDG.32 or LDG.128, etc).
+      GemmConfig_::kScalarsPerLdgB>
+      GlobalTileTraits;
+
+  /// The skew.
+  static int const kSkew = 16 / sizeof(MultiplyAddScalar);
+  /// The tile.
+  typedef Shape<GemmConfig_::kStages,
+                GemmConfig_::OutputTile::kH,
+                GemmConfig_::OutputTile::kD + kSkew>
+      Tile;
+
+  /// The traits class to build the iterator to store data to shared memory for B^N.
+  typedef GemmSharedStoreTileAbTraits<
+      // The pointer.
+      MultiplyAddScalar,
+      // The tile has size KxM in GEMM's terminology.
+      Tile,
+      // The threads are distributed as warps x 32 (the traits may reorganize).
+      typename GlobalTileTraits::Threads,
+      // The number of scalars per STS (STS.32 or STS.128, etc).
+      GemmConfig_::kScalarsPerStsB>
+      SharedStoreTileTraits;
+
+  /// The number of elements loaded in one LDG.
+  static int const kScalarsPerW = GemmConfig_::InstructionShape::kH * GemmConfig_::Warps::kH;
+  /// The traits class to build the iterator to load from shared memory for B.
+  typedef WmmaGemmSharedLoadTileBTraits<
+      // The layout of the matrix.
+      MatrixLayout::kColumnMajor,
+      // The pointer.
+      MultiplyAddScalar,
+      // The tile in shared memory.
+      Tile,
+      // The number of warps.
+      typename GemmConfig_::Warps,
+      // The strides between warps.
+      GemmConfig_::InstructionShape::kH * Tile::kW,
+      // The number of iterations to load the data.
+      Shape<1, 1, GemmConfig_::OutputTile::kH / kScalarsPerW>,
+      // The stride between iterations.
+      Shape<GemmConfig_::InstructionShape::kD, 0, kScalarsPerW * Tile::kW>,
+      // The shape of the instruction.
+      typename GemmConfig_::InstructionShape>
+      SharedLoadTileTraits;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <
+    /// The layout for A.
+    MatrixLayout::Kind kLayoutA_,
+    /// The layout for B.
+    MatrixLayout::Kind kLayoutB_,
+    /// The output tile.
+    typename OutputTile_,
+    /// The output type.
+    typename ScalarC_,
+    /// The accumulator type.
+    typename Accumulator_,
+    /// The functor to do the math in the epilogue.
+    typename EpilogueFunctor_,
+    /// The number of accumulators per warp.
+    typename AccumulatorsPerWarp_,
+    /// The shape of the WMMA instruction.
+    typename InstructionShape_,
+    /// The number of halfs loaded in one LDG for A.
+    int kScalarsPerLdgA_,
+    /// The number of halfs loaded in one LDG for B.
+    int kScalarsPerLdgB_,
+    /// The index.
+    typename Index_>
+struct WmmaGemmTraitsHelper {
+  /// The WMMA GEMM config.
+  typedef WmmaGemmConfig<kLayoutA_,
+                         kLayoutB_,
+                         OutputTile_,
+                         ScalarC_,
+                         Accumulator_,
+                         AccumulatorsPerWarp_,
+                         InstructionShape_,
+                         kScalarsPerLdgA_,
+                         kScalarsPerLdgB_>
+      GemmConfig;
+
+  /// The GEMM config for A.
+  typedef WmmaGemmTileTraitsHelperA<kLayoutA_, GemmConfig> GemmTileTraitsHelperA;
+  /// The GEMM config for B.
+  typedef WmmaGemmTileTraitsHelperB<kLayoutB_, GemmConfig> GemmTileTraitsHelperB;
+
+  /// The iterator to load A from global memory.
+  typedef GemmGlobalIteratorAb<typename GemmTileTraitsHelperA::GlobalTileTraits, Index_>
+      GlobalLoadIteratorA;
+  /// The default transformer for A.
+  typedef Copy<typename GlobalLoadIteratorA::Fragment> GlobalTransformerA;
+  /// The iterator to store A to shared memory.
+  typedef TileStoreIterator<typename GemmTileTraitsHelperA::SharedStoreTileTraits,
+                            typename GemmTileTraitsHelperA::SharedStoreTileTraits::Scalar,
+                            IteratorAdvance::kH,
+                            MemorySpace::kShared>
+      SharedStoreIteratorA;
+  /// The stream to load A from global memory to shared memory.
+  typedef GlobalLoadStream<GlobalLoadIteratorA, SharedStoreIteratorA, GlobalTransformerA>
+      GlobalLoadStreamA;
+
+  /// The iterator to load B from global memory.
+  typedef GemmGlobalIteratorAb<typename GemmTileTraitsHelperB::GlobalTileTraits, Index_>
+      GlobalLoadIteratorB;
+  // The default transformer for B.
+  typedef Copy<typename GlobalLoadIteratorB::Fragment> GlobalTransformerB;
+  /// The iterator to store B to shared memory.
+  typedef TileStoreIterator<typename GemmTileTraitsHelperB::SharedStoreTileTraits,
+                            typename GemmTileTraitsHelperB::SharedStoreTileTraits::Scalar,
+                            IteratorAdvance::kH,
+                            MemorySpace::kShared>
+      SharedStoreIteratorB;
+  /// The stream to load B from global memory to shared memory.
+  typedef GlobalLoadStream<GlobalLoadIteratorB, SharedStoreIteratorB, GlobalTransformerB>
+      GlobalLoadStreamB;
+
+  /// The iterator to load A from shared memory.
+  typedef TileLoadIterator<typename GemmTileTraitsHelperA::SharedLoadTileTraits,
+                           typename GemmTileTraitsHelperA::SharedLoadTileTraits::Scalar,
+                           IteratorAdvance::kH,
+                           MemorySpace::kShared,
+                           Index_,
+                           typename GemmTileTraitsHelperA::WmmaMatrix,
+                           IteratorFragment::kWmmaMatrix>
+      SharedLoadIteratorA;
+  /// The stream to load A from shared memory.
+  typedef SharedLoadStream<SharedLoadIteratorA> SharedLoadStreamA;
+  /// The iterator to load B from shared memory.
+  typedef TileLoadIterator<typename GemmTileTraitsHelperB::SharedLoadTileTraits,
+                           typename GemmTileTraitsHelperB::SharedLoadTileTraits::Scalar,
+                           IteratorAdvance::kH,
+                           MemorySpace::kShared,
+                           Index_,
+                           typename GemmTileTraitsHelperB::WmmaMatrix,
+                           IteratorFragment::kWmmaMatrix>
+      SharedLoadIteratorB;
+  /// The stream to load B from shared memory.
+  typedef SharedLoadStream<SharedLoadIteratorB> SharedLoadStreamB;
+
+  /// The functor to do the multiply-add in the main loop.
+  typedef typename GemmConfig::MultiplyAdd MultiplyAdd;
+  /// The object to clear accumulators.
+  typedef ClearAccumulators<typename MultiplyAdd::ScalarC> ClearAccumulators;
+
+  /// The helper to create the epilogue traits.
+  typedef WmmaGemmEpilogueTraitsHelper<GemmConfig, EpilogueFunctor_, Index_> EpilogueTraitsHelper;
+  /// The traits class for the epilogue.
+  typedef SimplifiedGemmEpilogueTraits<GemmConfig, EpilogueFunctor_, Index_, EpilogueTraitsHelper>
+      GemmEpilogueTraits;
+  /// The epilogue.
+  typedef GemmEpilogue<GemmEpilogueTraits> Epilogue;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <typename OutputTile_, typename DefaultShape_ = Shape<64, 32, 64> >
+struct WmmaGemmAccumulatorsPerWarp {
+  typedef typename ShapeMin<OutputTile_, DefaultShape_>::Shape Shape;
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+template <
+    /// The layout for A.
+    MatrixLayout::Kind kLayoutA_,
+    /// The layout for B.
+    MatrixLayout::Kind kLayoutB_,
+    /// The tile size for the GEMM KxNxM.
+    typename OutputTile_ = Shape<64, 128, 128>,
+    /// The output type.
+    typename ScalarC_ = float,
+    /// The functor to do the math in the epilogue.
+    typename EpilogueFunctor_ = LinearScaling<ScalarC_>,
+    /// The accumulator type.
+    typename Accumulator_ = ScalarC_,
+    /// The number of accumulators per warp.
+    typename AccumulatorsPerWarp_ = typename WmmaGemmAccumulatorsPerWarp<OutputTile_>::Shape,
+    /// The shape of the WMMA instruction.
+    typename InstructionShape_ = Shape<16, 16, 16>,
+    /// The number of scalars per LDG for A.
+    int kScalarsPerLdgA_ = 8,
+    /// The number of scalars per LDG for B.
+    int kScalarsPerLdgB_ = 8,
+    /// The index.
+    typename Index_ = int,
+    /// The helper class.
+    typename Helper_ = WmmaGemmTraitsHelper<kLayoutA_,
+                                            kLayoutB_,
+                                            OutputTile_,
+                                            ScalarC_,
+                                            Accumulator_,
+                                            EpilogueFunctor_,
+                                            AccumulatorsPerWarp_,
+                                            InstructionShape_,
+                                            kScalarsPerLdgA_,
+                                            kScalarsPerLdgB_,
+                                            Index_> >
+struct WmmaGemmTraits : public GemmTraits<
+                            // The config.
+                            typename Helper_::GemmConfig,
+                            // The stream to load A from global memory to shared memory.
+                            typename Helper_::GlobalLoadStreamA,
+                            // The stream to load B from global memory to shared memory.
+                            typename Helper_::GlobalLoadStreamB,
+                            // The stream to load A from shared memory.
+                            typename Helper_::SharedLoadStreamA,
+                            // The stream to load B from shared memory.
+                            typename Helper_::SharedLoadStreamB,
+                            // The epilogue.
+                            typename Helper_::Epilogue,
+                            // The block swizzle to reorganize the grid.
+                            IdentityBlockSwizzle,
+                            // The index.
+                            Index_,
+                            // The tool used to clear accumulators.
+                            typename Helper_::ClearAccumulators> {};
+
+////////////////////////////////////////////////////////////////////////////////////////////////////
+
+}  // namespace gemm
+}  // namespace cutlass
+
+#endif  // defined CUTLASS_USE_WMMA_API