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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 Defines iterators for efficiently loading and storing tiles to and from shared memory.
-*/
-#pragma once
-
-#include <cutlass/gemm/gemm_operand.h>
-
-namespace cutlass {
-namespace gemm {
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_, typename Tile_, typename Threads_, int kScalarsPerSts_>
-struct GemmSharedStoreTileAbTraits {
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The tile.
- typedef typename ReshapeTile<Tile_, kScalarsPerSts_>::Tile Tile;
- /// The threads.
- typedef Threads_ Threads;
- /// The strides to compute the base position of the thread.
- typedef Shape<0, ShapeCount<Tile>::kWc, Tile::kC, kScalarsPerSts_> ThreadsStrides;
- /// The skew.
- static int const kSkew = 0;
- /// The number of scalars per LDG/STG.
- static int const kAccessSize = kScalarsPerSts_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of iterations needed to load/store the tile.
- typedef Shape<1,
- Tile::kH / Threads::kH,
- Tile::kW / Threads::kW,
- Tile::kC / Threads::kC / kAccessSize>
- Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, Threads::kH * ShapeCount<Tile>::kWc, Threads::kW * kAccessSize> Delta;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, Threads::kH * ShapeCount<Tile>::kWc, Threads::kW * kAccessSize>
- ImmediateOffsetStrides;
-
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE
- Coord<4> operator()() const {
- int offset = ComputeThreadOffsetFromStrides<Threads, ThreadsStrides>::get();
- return make_Coord(0, 0, offset, 0);
- }
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_, typename Tile_, typename Threads_, int kScalarsPerSts_, int kSkew_>
-struct GemmSharedStoreWithSkewTileAbTraits {
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The tile without skews.
- typedef typename ReshapeTile<Tile_, kScalarsPerSts_>::Tile TileWithoutSkew;
- /// The tile.
- typedef typename ReshapeTile<Shape<Tile_::kD, Tile_::kH, Tile_::kW + kSkew_>,
- kScalarsPerSts_>::Tile Tile;
- /// The threads.
- typedef Threads_ Threads;
- /// The skew.
- static int const kSkew = kSkew_;
- /// The number of scalars per STS.
- static int const kAccessSize = kScalarsPerSts_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of iterations needed to load/store the tile.
- typedef Shape<1, TileWithoutSkew::kH / Threads::kW, TileWithoutSkew::kW / Threads::kH> Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, ShapeCount<Tile>::kWc, Threads::kH * kAccessSize> Delta;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, ShapeCount<Tile>::kWc, Threads::kH * kAccessSize> ImmediateOffsetStrides;
-
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE Coord<4> operator()() const {
- int offset = ComputeThreadOffsetFromStrides<Threads, ThreadsStrides>::get();
- return make_Coord(0, 0, offset, 0);
- }
- };
-
- protected:
- /// The strides to compute the base position of the thread.
- typedef Shape<0, kScalarsPerSts_, ShapeCount<Tile>::kHwc / Threads::kW> ThreadsStrides;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_,
- typename OutputTile_,
- typename Warps_,
- typename ThreadsPerWarp_,
- typename InstructionShape_,
- int kStages_,
- int kScalarsPerLds_,
- int kSkew_ = 0>
-struct GemmSharedLoadTileATraits {
- static GemmOperand::Kind const kOperand = GemmOperand::kA;
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The tile without skew.
- typedef Shape<kStages_,
- OutputTile_::kD / InstructionShape_::kD,
- GetExtent<kOperand, OutputTile_>::kExtent * InstructionShape_::kD>
- TileWithoutSkew_;
- /// The tile with skew.
- typedef Shape<kStages_, TileWithoutSkew_::kH, TileWithoutSkew_::kW + kSkew_> TileWithSkew;
- /// The tile without skew after reshaping.
- typedef typename ReshapeTile<TileWithoutSkew_, kScalarsPerLds_>::Tile TileWithoutSkew;
- /// The tile.
- typedef typename ReshapeTile<TileWithSkew, kScalarsPerLds_>::Tile Tile;
- /// The number of warps.
- typedef Warps_ Warps;
- /// The threads in a warp.
- typedef ThreadsPerWarp_ ThreadsPerWarp;
- /// The number of scalars per LDG/STG.
- // static int const kScalarsPerLds = kScalarsPerLds_;
- static int const kAccessSize = kScalarsPerLds_;
- /// The skew.
- static int const kSkew = kSkew_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of warps.
- static int const kWarps = GetExtent<kOperand, Warps>::kExtent;
- /// The number of threads in one dimension of the warp.
- static int const kThreadsPerWarp = GetExtent<kOperand, ThreadsPerWarp>::kExtent;
-
- /// The number of iterations needed to load/store the tile.
- typedef Shape<1, 1, TileWithoutSkew::kW / kWarps / kThreadsPerWarp /* / kScalarsPerLds*/>
- Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<TileWithSkew::kW * Warps::kD, 0, kWarps * kThreadsPerWarp * kAccessSize, 0>
- ImmediateOffsetStrides;
- typedef Shape<TileWithSkew::kW * Warps::kD, 0, kWarps * kThreadsPerWarp * kAccessSize, 0> Delta;
-
- /// Computes the thread offset in (H, W) based on thread ID
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE Coord<4> operator()() const {
- // Extract the warp.
- int const warp = threadIdx.x / kWarpSize;
- // Extract the slice.
- int const slice = warp / (Warps::kH * Warps::kW);
- // Compute the row offset for each warp.
- int const warp_row = warp % Warps::kW;
- // Compute the row offset for each thread.
- int const lane_row = (threadIdx.x & 0x0e) / 2;
- // The offset.
- int const offset =
- slice * Tile::kW * Tile::kC + (warp_row * ThreadsPerWarp::kW + lane_row) * kAccessSize;
- // Embed the offset in a 4D coordinate vector.
- return make_Coord(0, 0, offset, 0);
- }
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_,
- typename OutputTile_,
- typename Warps_,
- typename ThreadsPerWarp_,
- typename InstructionShape_,
- int kStages_,
- int kScalarsPerLds_,
- int kSkew_ = 0>
-struct GemmSharedLoadTileBTraits {
- static GemmOperand::Kind const kOperand = GemmOperand::kB;
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The tile without skew.
- typedef Shape<kStages_,
- OutputTile_::kD / InstructionShape_::kD,
- GetExtent<kOperand, OutputTile_>::kExtent * InstructionShape_::kD>
- TileWithoutSkew_;
- /// The tile with skew.
- typedef Shape<kStages_, TileWithoutSkew_::kH, TileWithoutSkew_::kW + kSkew_> TileWithSkew;
- /// The tile without skew after reshaping.
- typedef typename ReshapeTile<TileWithoutSkew_, kScalarsPerLds_>::Tile TileWithoutSkew;
- /// The tile.
- typedef typename ReshapeTile<TileWithSkew, kScalarsPerLds_>::Tile Tile;
- /// The number of warps.
- typedef Warps_ Warps;
- /// The threads in a warp.
- typedef ThreadsPerWarp_ ThreadsPerWarp;
- /// The number of scalars per LDG/STG.
- static int const kAccessSize = kScalarsPerLds_;
- /// The skew.
- static int const kSkew = kSkew_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of warps.
- static int const kWarps = GetExtent<kOperand, Warps>::kExtent;
- /// The number of threads in one dimension of the warp.
- static int const kThreadsPerWarp = GetExtent<kOperand, ThreadsPerWarp>::kExtent;
-
- /// The number of iterations needed to load/store the tile.
- typedef Shape<1, 1, TileWithoutSkew::kW / kWarps / kThreadsPerWarp /* / kAccessSize*/> Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<TileWithSkew::kW * Warps::kD, 0, kWarps * kThreadsPerWarp * kAccessSize, 0>
- ImmediateOffsetStrides;
- typedef Shape<TileWithSkew::kW * Warps::kD, 0, kWarps * kThreadsPerWarp * kAccessSize, 0> Delta;
-
- /// Computes the thread offset in (H, W) based on thread ID
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE Coord<4> operator()() const {
- // Extract the warp.
- int const warp = threadIdx.x / kWarpSize;
- // Extract the slice.
- int const slice = warp / (Warps::kH * Warps::kW);
- // The warp in the slice.
- int const warp_in_slice = warp % (Warps::kH * Warps::kW);
- // Compute the row offset for each warp.
- int const warp_col = warp_in_slice / Warps::kW;
- // Compute the row offset for each thread.
- int const lane_col = (threadIdx.x & 0x10) / 8 + (threadIdx.x & 0x01);
- // The offset.
- int const offset =
- slice * Tile::kW * Tile::kC + (warp_col * ThreadsPerWarp::kH + lane_col) * kAccessSize;
- // Embed the offset in a 4D coordinate.
- return make_Coord(0, 0, offset, 0);
- }
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_,
- typename OutputTile_,
- typename Warps_,
- typename ThreadsPerWarp_,
- int kScalarsPerSts_,
- int kSkew_ = 0>
-struct GemmSharedStoreTileDTraits {
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The dimension of the output tile.
- typedef OutputTile_ OutputTile;
- /// The warps in the tile.
- typedef Warps_ Warps;
- /// The threads in the warps.
- typedef ThreadsPerWarp_ ThreadsPerWarp;
- /// The number of scalars per LDG/STG.
- static int const kAccessSize = kScalarsPerSts_;
- /// The skew.
- static int const kSkew = kSkew_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of scalars per thread.
- static int const kScalarsPerThread = OutputTile_::kW / Warps::kW / ThreadsPerWarp::kW;
- /// The number of threads.
- static int const kThreads = ShapeCount<Warps>::kCount * kWarpSize;
- /// The number of scalars per row. We build a tile with 2 rows (to avoid bank conflicts).
- static int const kScalarsPerRow = kThreads / 2 * kScalarsPerThread + kSkew;
-
- /// The tile.
- typedef Shape<1, 2, kScalarsPerRow / kAccessSize, kAccessSize> Tile;
- /// The number of iterations needed to store the tile.
- typedef Shape<1, 1, kScalarsPerThread / kAccessSize> Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, 0, Warps::kW * ThreadsPerWarp::kW * kAccessSize> Delta;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<0, 0, Warps::kW * ThreadsPerWarp::kW * kAccessSize> ImmediateOffsetStrides;
-
- /// Computes the thread offset in (H, W) based on thread ID
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE Coord<4> operator()() const {
- // The warp.
- int const warp = threadIdx.x / kWarpSize;
-
- // The position of the warp in the 2D tile.
- int const warp_row = warp % Warps::kW;
- int const warp_col = warp / Warps::kW;
-
- // We assume that the elements are distributed in a warps as 4 columns of 8 elements. The
- // columns are stored in threads col0=[0, 2, 4, 6, 8, 10, 12, 14], col1=[1, 3, 5, 7, .., 15],
- // col2=[16, 18, 20, ..., 30] and col3=[17, 19, ..., 31].
- int hi_halfwarp_offset = ((threadIdx.x >> 4) & 0x1) * OutputTile::kW;
- int lo_halfwarp_offset = ((threadIdx.x >> 1) & 0x7) + ThreadsPerWarp::kW * warp_row;
-
- // Odd threads go to the second half of shared memory.
- int const row = threadIdx.x & 0x01;
- int col = warp_col * (ThreadsPerWarp::kH / 2) * OutputTile::kW +
- lo_halfwarp_offset * kAccessSize + hi_halfwarp_offset;
- // Embed the offset in a 4D coords.
- return make_Coord(0, 0, row * kScalarsPerRow + col, 0);
- }
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Scalar_,
- typename OutputTile_,
- typename Warps_,
- typename ThreadsPerWarp_,
- int kTileH_,
- int kScalarsPerLds_,
- int kSkew_ = 0>
-struct GemmSharedLoadTileDTraits {
- /// The scalar.
- typedef typename platform::remove_const<Scalar_>::type Scalar;
- /// The pointer.
- typedef Scalar_* Pointer;
- /// The dimension of the output tile.
- typedef OutputTile_ OutputTile;
- /// The warps in the tile.
- typedef Warps_ Warps;
- /// The threads in the warps.
- typedef ThreadsPerWarp_ ThreadsPerWarp;
- /// The number of scalars per LDG/STG.
- static int const kAccessSize = kScalarsPerLds_;
- /// The skew.
- static int const kSkew = kSkew_;
- /// The memory space.
- static MemorySpace::Kind const kMemorySpace = MemorySpace::kShared;
-
- /// The number of scalars per thread.
- static int const kScalarsPerThread = OutputTile_::kW / Warps::kW / ThreadsPerWarp::kW;
- /// The number of threads.
- static int const kThreads = ShapeCount<Warps>::kCount * kWarpSize;
- /// The number of scalars per row. We build a tile with 2 rows (to avoid bank conflicts).
- static int const kScalarsPerRow = kThreads / 2 * kScalarsPerThread + kSkew;
-
- /// The tile. We have 2 rows of scalars. We use those two rows to make sure we do not have bank
- /// conflicts in the epilogue.
- typedef Shape<1, 2, kScalarsPerRow / kAccessSize, kAccessSize> Tile;
-
- // Compute the number of iterations per warp in the Tile::kH dimension.
- static int const kIterationsInHPerWarp = kTileH_ / ShapeCount<Warps>::kCount;
-
- // As explained above, the shared memory tile is composed of 2 rows and each rows is made of
- // kScalarsPerRow. A warp is expected to read from the 1st row, then move to the 2nd row and go
- // back to the 1st row. To model that scheme we define the Iterations shape as Shape<X, 2, ...>.
- // However, in some cases, we have only 1 iteration per warp. In that case, we must define the
- // shape as Shape<1, 1, ...>. The following code does that except that we hijack the kH dimension
- // to keep the number of elements to reduce for split-K.
- static int const kIterationsH = kIterationsInHPerWarp == 1 ? 1 : 2;
- // As soon as we know kIterationsH, it is trivial to compute kIterationsD:
- static int const kIterationsD = kIterationsInHPerWarp / kIterationsH;
-
- // If we have split-K enabled, we have to jump over the elements from the "odd/even" column of
- // threads to grab the other elements.
- static int const kSplitK = OutputTile::kW * ThreadsPerWarp::kH / 2 * Warps::kH;
-
- /// The number of iterations needed to store the tile.
- typedef Shape<kIterationsD, kIterationsH, OutputTile::kW / kWarpSize / kAccessSize, Warps::kD>
- Iterations;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<OutputTile::kW, kScalarsPerRow, kWarpSize * kAccessSize, kSplitK>
- ImmediateOffsetStrides;
- /// The strides in each dimension between different loads/stores.
- typedef Shape<OutputTile::kW, kScalarsPerRow, kWarpSize * kAccessSize, kSplitK> Delta;
-
- /// Computes the thread offset in (H, W) based on thread ID
- struct ThreadOffset {
- CUTLASS_HOST_DEVICE Coord<4> operator()() const {
- // Each warp works on a different column.
- int const h = threadIdx.x / kWarpSize;
- // Compute the row.
- int const w = (threadIdx.x & (kWarpSize - 1)) * kAccessSize;
- int offset = 0;
- if (Iterations::kH == 1) {
- int const row = h & 0x1;
- int const col = h / 2;
- offset = row * ShapeCount<Tile>::kWc + col * OutputTile::kW * Iterations::kD + w;
- } else {
- offset = h * OutputTile::kW * Iterations::kD + w;
- }
- return make_Coord(0, 0, offset, 0);
- }
- };
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-} // namespace gemm
-} // namespace cutlass