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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 half-precision GEMM computation.
*/
#pragma once
#include <cutlass/convert.h>
#include <cutlass/reshape_tile.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/hgemm_global_tile.h>
#include <cutlass/gemm/hgemm_multiply_add.h>
#include <cutlass/gemm/hgemm_swizzle.h>
namespace cutlass {
namespace gemm {
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
/// The tile size for the GEMM KxNxM.
typename OutputTile_,
/// The number of accumulators per thread.
typename AccumulatorsPerThread_,
/// The number of scalars per LDG for A.
int kScalarsPerLdgA_ = 2,
/// The number of scalars per LDG for B.
int kScalarsPerLdgB_ = 2>
struct HgemmConfig
: public GemmConfig<
/// The scalar type for A.
half,
/// The scalar type for B.
half,
/// The scalar type for C.
half,
/// The scalar type for D.
half,
/// The tile size for the GEMM KxNxM.
OutputTile_,
/// The functor to do the math in the main loop.
ThreadMultiplyAdd<AccumulatorsPerThread_, Shape<1, 4, 8>, half, half, half>,
/// 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.
2,
/// The number of scalars per STS for D.
8,
/// The number of scalars per LDS for D.
2,
/// The number of stages in shared memory.
2> {};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <enum MatrixLayout::Kind kLayout_, typename Iterator_>
struct HgemmTransformerA {};
template <typename Iterator_>
struct HgemmTransformerA<MatrixLayout::kColumnMajor, Iterator_> {
typedef Convert<typename Iterator_::Fragment, typename Iterator_::Fragment> Transformer;
};
template <typename Iterator_>
struct HgemmTransformerA<MatrixLayout::kRowMajor, Iterator_> {
typedef HgemmSwizzle<Iterator_> Transformer;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <enum MatrixLayout::Kind kLayout_, typename Iterator_>
struct HgemmTransformerB {};
template <typename Iterator_>
struct HgemmTransformerB<MatrixLayout::kRowMajor, Iterator_> {
typedef Convert<typename Iterator_::Fragment, typename Iterator_::Fragment> Transformer;
};
template <typename Iterator_>
struct HgemmTransformerB<MatrixLayout::kColumnMajor, Iterator_> {
typedef HgemmSwizzle<Iterator_> Transformer;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <enum MatrixLayout::Kind kLayout_, typename GemmConfig_>
struct HgemmTileTraitsHelperA : public GemmTileTraitsHelperA<kLayout_, GemmConfig_> {};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename GemmConfig_>
struct HgemmTileTraitsHelperA<MatrixLayout::kRowMajor, GemmConfig_>
: public GemmTileTraitsHelperA<MatrixLayout::kRowMajor, GemmConfig_> {
/// The base config.
typedef GemmTileTraitsHelperA<MatrixLayout::kRowMajor, GemmConfig_> Base;
/// The traits class to build the iterator to load data from global memory for A^T.
typedef HgemmCrosswiseGlobalTileTraits<
GemmOperand::kA,
// The layout.
MatrixLayout::kRowMajor,
// The pointer.
half const,
// The tile has size MxK in GEMM's terminology.
Shape<1, GemmConfig_::OutputTile::kW, GemmConfig_::OutputTile::kD>,
// The threads are distributed as (threads / K ) x K (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 kSkewA = 128 / sizeof(half) / GlobalTileTraits::Threads::kW / 2;
/// The traits class to build the iterator to store data to shared memory for A^T.
typedef GemmSharedStoreWithSkewTileAbTraits <
// The pointer.
half,
// The tile has size KxM in GEMM's terminology.
Shape<GemmConfig_::kStages,
GemmConfig_::OutputTile::kD / GemmConfig_::InstructionShape::kD,
GemmConfig_::OutputTile::kW * GemmConfig_::InstructionShape::kD>,
// 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).
2,
// The skew to avoid bank conflicts added in the tile W dimension.
kSkewA<GemmConfig_::kScalarsPerLdsA ? GemmConfig_::kScalarsPerLdsA : kSkewA>
SharedStoreTileTraits;
/// The traits class to build the iterator to load from shared memory for A^T.
typedef GemmSharedLoadTileATraits<
// The pointer.
half const,
// The output tile size.
typename GemmConfig_::OutputTile,
// The number of warps.
typename GemmConfig_::Warps,
// The number of threads per warp.
typename GemmConfig_::MultiplyAdd::ThreadsPerWarp,
// The shape of the FMA instruction.
typename GemmConfig_::InstructionShape,
// The number of stages.
GemmConfig_::kStages,
// The number of scalars per LDS.
8,
// The skew.
SharedStoreTileTraits::kSkew>
SharedLoadTileTraits;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <enum MatrixLayout::Kind kLayout_, typename GemmConfig_>
struct HgemmTileTraitsHelperB : public GemmTileTraitsHelperB<kLayout_, GemmConfig_> {};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename GemmConfig_>
struct HgemmTileTraitsHelperB<MatrixLayout::kColumnMajor, GemmConfig_>
: public GemmTileTraitsHelperB<MatrixLayout::kColumnMajor, GemmConfig_> {
/// The base config.
typedef GemmTileTraitsHelperB<MatrixLayout::kColumnMajor, GemmConfig_> Base;
/// The traits class to build the iterator to load data from global memory for B^N.
typedef HgemmCrosswiseGlobalTileTraits<
GemmOperand::kB,
// The layout.
MatrixLayout::kColumnMajor,
// The pointer.
half const,
// The tile has size KxN in GEMM's terminology.
Shape<1, GemmConfig_::OutputTile::kH, GemmConfig_::OutputTile::kD>,
// The threads are distributed as (threads / K) x K (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 for B.
static int const kSkewB = 128 / sizeof(half) / GlobalTileTraits::Threads::kW / 2;
/// The traits class to build the iterator to store data to shared memory for B^N.
typedef GemmSharedStoreWithSkewTileAbTraits <
// The pointer.
half,
// The tile has size KxN in GEMM's terminology.
Shape<GemmConfig_::kStages,
GemmConfig_::OutputTile::kD / GemmConfig_::InstructionShape::kD,
GemmConfig_::OutputTile::kH * GemmConfig_::InstructionShape::kD>,
// The threads are distributed as (threads / K) x K (the traits may reorganize).
typename GlobalTileTraits::Threads,
// The number of scalars per STS (STS.32 or STS.128, etc).
2,
// The skew to avoid bank conflicts added in the tile W dimension.
kSkewB<GemmConfig_::kScalarsPerLdsB ? GemmConfig_::kScalarsPerLdsB : kSkewB>
SharedStoreTileTraits;
/// The traits class to build the iterator to load from shared memory for B^N.
typedef GemmSharedLoadTileBTraits<
// The pointer.
half const,
// The output tile size.
typename GemmConfig_::OutputTile,
// The number of warps.
typename GemmConfig_::Warps,
// The number of threads per warp.
typename GemmConfig_::MultiplyAdd::ThreadsPerWarp,
// The shape of the FMA instruction.
typename GemmConfig_::InstructionShape,
// The number of stages.
GemmConfig_::kStages,
// The number of scalars per LDS.
8,
// The skew.
SharedStoreTileTraits::kSkew>
SharedLoadTileTraits;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
/// The layout for A.
MatrixLayout::Kind kLayoutA_,
/// The layout for B.
MatrixLayout::Kind kLayoutB_,
/// The output tile.
typename OutputTile_,
/// The functor to do the math in the epilogue.
typename EpilogueFunctor_,
/// The number of accumulators per thread.
typename AccumulatorsPerThread_ = Shape<8, 8, 16>,
/// The number of halfs loaded in one LDG for A.
int kScalarsPerLdgA_ = 2,
/// The number of halfs loaded in one LDG for B.
int kScalarsPerLdgB_ = 2,
/// The index.
typename Index_ = int>
struct HgemmTraitsHelper {
/// The HGEMM config.
typedef HgemmConfig<OutputTile_, AccumulatorsPerThread_, kScalarsPerLdgA_, kScalarsPerLdgB_>
GemmConfig;
/// The GEMM config for A.
typedef HgemmTileTraitsHelperA<kLayoutA_, GemmConfig> GemmTileTraitsHelperA;
/// The GEMM config for B.
typedef HgemmTileTraitsHelperB<kLayoutB_, GemmConfig> GemmTileTraitsHelperB;
/// The iterator to load A from global memory.
typedef GemmGlobalIteratorAb<typename GemmTileTraitsHelperA::GlobalTileTraits, Index_>
GlobalLoadIteratorA;
/// The default transformer for A.
typedef typename HgemmTransformerA<GemmTileTraitsHelperA::kLayout,
GlobalLoadIteratorA>::Transformer 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 typename HgemmTransformerB<GemmTileTraitsHelperB::kLayout,
GlobalLoadIteratorB>::Transformer 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>
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>
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 traits class for the epilogue.
typedef SimplifiedGemmEpilogueTraits<GemmConfig, EpilogueFunctor_, Index_> GemmEpilogueTraits;
/// The epilogue.
typedef GemmEpilogue<GemmEpilogueTraits> Epilogue;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <
/// The layout for A.
MatrixLayout::Kind kLayoutA_,
/// The layout for B.
MatrixLayout::Kind kLayoutB_,
/// The output tile.
typename OutputTile_ = Shape<8, 128, 128>,
/// The functor to do the math in the epilogue.
typename EpilogueFunctor_ = LinearScaling<half>,
/// The number of accumulators per thread.
typename AccumulatorsPerThread_ = Shape<8, 8, 16>,
/// The number of halfs loaded in one LDG for A.
int kScalarsPerLdgA_ = 2,
/// The number of halfs loaded in one LDG for B.
int kScalarsPerLdgB_ = 2,
/// The index.
typename Index_ = int,
/// The helper class.
typename Helper_ = HgemmTraitsHelper<kLayoutA_,
kLayoutB_,
OutputTile_,
EpilogueFunctor_,
AccumulatorsPerThread_,
kScalarsPerLdgA_,
kScalarsPerLdgB_,
Index_> >
struct HgemmTraits : 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
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