CUTLASS 2.0 Substantially refactored for - Better performance, particularly for native Turing Tensor Cores - Robust and durable templates spanning the design space - Encapsulated functionality embodying modern C++11 programming techniques - Optimized containers and data types for efficient, generic, portable device code Updates to: - Quick start guide - Documentation - Utilities - CUTLASS Profiler Native Turing Tensor Cores - Efficient GEMM kernels targeting Turing Tensor Cores - Mixed-precision floating point, 8-bit integer, 4-bit integer, and binarized operands Coverage of existing CUTLASS functionality: - GEMM kernels targeting CUDA and Tensor Cores in NVIDIA GPUs - Volta Tensor Cores through native mma.sync and through WMMA API - Optimizations such as parallel reductions, threadblock rasterization, and intra-threadblock reductions - Batched GEMM operations - Complex-valued GEMMs Note: this commit and all that follow require a host compiler supporting C++11 or greater.
447 lines
12 KiB
C++
447 lines
12 KiB
C++
/***************************************************************************************************
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* Copyright (c) 2017-2019, NVIDIA CORPORATION. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without modification, are permitted
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* provided that the following conditions are met:
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* * Redistributions of source code must retain the above copyright notice, this list of
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* conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above copyright notice, this list of
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* conditions and the following disclaimer in the documentation and/or other materials
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* provided with the distribution.
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* * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used
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* to endorse or promote products derived from this software without specific prior written
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* permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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* FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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**************************************************************************************************/
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/*! \file
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\brief Defines layout functions used by TensorRef and derived classes for common 4-D and 5-D
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tensor formats.
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Layout functions map logical coordinates to linear memory. They often require additional
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data to describe strides between elements.
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Layout functions must implement all members in the public interface of IdentityTensorLayout<>
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defined in cutlass/tensor_ref.h.
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*/
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#pragma once
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#include "assert.h"
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#include "cutlass/cutlass.h"
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#include "cutlass/fast_math.h"
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#include "cutlass/layout/matrix.h"
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#include "cutlass/coord.h"
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#include "cutlass/tensor_coord.h"
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namespace cutlass {
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namespace layout {
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/////////////////////////////////////////////////////////////////////////////////////////////////
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//
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// Defines data layouts of various tensor formats usable by TensorRef and other classes.
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//
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/////////////////////////////////////////////////////////////////////////////////////////////////
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/// Mapping function for 4-D NHWC tensors.
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class TensorNHWC {
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public:
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/// Logical rank of tensor
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static int const kRank = 4;
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/// Rank of stride vector
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static int const kStrideRank = 3;
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/// Index type used for coordinates
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using Index = int32_t;
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/// Long index type used for offsets
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using LongIndex = int64_t;
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/// Logical coordinate (n, h, w, c)
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using TensorCoord = Tensor4DCoord;
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/// Stride vector
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using Stride = Coord<kStrideRank>;
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private:
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//
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// Data members
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//
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/// Stride data member - [c, wc, hwc]
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Stride stride_;
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public:
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//
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// Methods
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//
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/// Constructor
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CUTLASS_HOST_DEVICE
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TensorNHWC(Stride const &stride = Stride(0)): stride_(stride) { }
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/// Constructor
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CUTLASS_HOST_DEVICE
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TensorNHWC(typename Stride::Index c, typename Stride::Index wc, typename Stride::Index hwc): stride_(make_Coord(c, wc, hwc)) { }
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/// Helper returns a layout to a tightly packed NHWC tensor.
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CUTLASS_HOST_DEVICE
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static TensorNHWC packed(TensorCoord const &extent) {
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return TensorNHWC(
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make_Coord(
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extent.c(),
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extent.w() * extent.c(),
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extent.h() * extent.w() * extent.c()
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)
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);
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}
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/// Returns the offset of a coordinate (n, h, w, c) in linear memory.
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CUTLASS_HOST_DEVICE
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LongIndex operator()(TensorCoord const &coord) const {
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return coord.c() +
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LongIndex(stride_[0] * coord.w()) +
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LongIndex(stride_[1] * coord.h()) +
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LongIndex(stride_[2] * coord.n());
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}
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/// Returns a RowMajor equivalent for a TensorNHWC layout
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CUTLASS_HOST_DEVICE
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explicit operator RowMajor() {
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return RowMajor(stride_[0]);
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}
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/// Returns the logical coordinate (n, h, w, c) from a given offset in linear memory.
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CUTLASS_HOST_DEVICE
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TensorCoord inverse(LongIndex index) const {
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int n = 0, h = 0, w = 0, c = 0;
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#if defined(__CUDA_ARCH__)
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int tmp = 0;
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c = int(index % static_cast<int>(stride_[0]));
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unsigned int hw_mul, hw_shr, w_mul, w_shr, c_mul, c_shr;
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find_divisor(hw_mul, hw_shr, stride_[2]);
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find_divisor(w_mul, w_shr, stride_[1]);
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find_divisor(c_mul, c_shr, stride_[0]);
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fast_divmod(n, tmp, index, int(stride_[2]), hw_mul, hw_shr);
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fast_divmod(h, w, tmp, int(stride_[1]), w_mul, w_shr);
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fast_divmod(w, tmp, w, int(stride_[0]), c_mul, c_shr);
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#else
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n = int(index / (stride_[0] * stride_[1] * stride_[2]));
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LongIndex residual = index % (stride_[0] * stride_[1] * stride_[2]);
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h = int(residual / (stride_[0] * stride_[1]));
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residual = (residual % (stride_[0] * stride_[1]));
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w = int(residual / stride_[0]);
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c = int(residual % stride_[0]);
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#endif
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return TensorCoord(n, h, w, c);
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride stride() const {
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return stride_;
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride & stride() {
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return stride_;
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}
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/// Compute the number of contiguous elements needed to store a tensor with the given size
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CUTLASS_HOST_DEVICE
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LongIndex capacity(TensorCoord const &extent) const {
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// it does not make sense if the extent is larger than stride
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// and we could not rely on the capacity calculation in such cases
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// we could move this checkers to debug code only
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if ((extent.c() > stride_[0])
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|| (extent.w() * stride_[0] > stride_[1])
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|| (extent.h() * stride_[1] > stride_[2])) {
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assert(0);
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}
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return extent.n() * stride_[2];
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}
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};
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/////////////////////////////////////////////////////////////////////////////////////////////////
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/// Mapping function for 4-D NCHW tensors.
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class TensorNCHW {
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public:
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/// Logical rank of tensor
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static int const kRank = 4;
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/// Rank of stride vector
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static int const kStrideRank = 3;
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/// Index type used for coordinates
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using Index = int32_t;
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/// Long index type used for offsets
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using LongIndex = int64_t;
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/// Logical coordinate
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using TensorCoord = Tensor4DCoord;
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/// Stride vector
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using Stride = Coord<kStrideRank>;
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private:
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//
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// Data members
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//
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/// Stride data member - [c, wc, hwc]
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Stride stride_;
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public:
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//
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// Methods
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//
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/// Constructor
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CUTLASS_HOST_DEVICE
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TensorNCHW(Stride const &stride = Stride(0)): stride_(stride) { }
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/// Helper returns a layout to a tightly packed tensor
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CUTLASS_HOST_DEVICE
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static TensorNCHW packed(TensorCoord const &extent) {
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return TensorNCHW(
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make_Coord(
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extent.w(),
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extent.w() * extent.h(),
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extent.h() * extent.w() * extent.c()
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)
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);
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}
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/// Returns the offset of a coordinate in linear memory.
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CUTLASS_HOST_DEVICE
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LongIndex operator()(TensorCoord const &coord) const {
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return coord.w() +
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LongIndex(stride_[0] * coord.h()) +
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LongIndex(stride_[1] * coord.c()) +
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LongIndex(stride_[2] * coord.n());
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride stride() const {
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return stride_;
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride & stride() {
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return stride_;
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}
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/// Compute the number of contiguous elements needed to store a tensor with the given size
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CUTLASS_HOST_DEVICE
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LongIndex capacity(TensorCoord const &extent) const {
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return extent.n() * stride_[2];
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}
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};
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/////////////////////////////////////////////////////////////////////////////////////////////////
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/// Mapping function for 4-D NC/xHWx tensors.
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template <int Interleave>
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class TensorNCxHWx {
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public:
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/// Interleaving quantity
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static int const kInterleave = Interleave;
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/// Logical rank of tensor
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static int const kRank = 4;
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/// Rank of stride vector
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static int const kStrideRank = 3;
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/// Index type used for coordinates
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using Index = int32_t;
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/// Long index type used for offsets
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using LongIndex = int64_t;
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/// Logical coordinate
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using TensorCoord = Tensor4DCoord;
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/// Stride vector
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using Stride = Coord<kStrideRank>;
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private:
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//
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// Data members
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//
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/// Stride data member - [c, wc, hwc]
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Stride stride_;
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public:
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//
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// Methods
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//
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/// Constructor
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CUTLASS_HOST_DEVICE
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TensorNCxHWx(Stride const &stride = Stride(0)): stride_(stride) { }
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/// Helper returns a layout to a tightly packed tensor
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CUTLASS_HOST_DEVICE
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static TensorNCxHWx packed(TensorCoord const &extent) {
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return TensorNCxHWx(
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make_Coord(
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kInterleave * extent.w(),
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kInterleave * extent.w() * extent.h(),
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extent.h() * extent.w() * extent.c()
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)
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);
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}
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/// Returns the offset of a coordinate in linear memory.
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CUTLASS_HOST_DEVICE
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LongIndex operator()(TensorCoord const &coord) const {
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Index c_minor = (coord.c() % kInterleave);
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Index c_major = (coord.c() / kInterleave);
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return c_minor +
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LongIndex(kInterleave * coord.w()) +
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LongIndex(stride_[0] * coord.h()) +
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LongIndex(stride_[1] * c_major) +
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LongIndex(stride_[2] * coord.n());
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride stride() const {
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return stride_;
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride & stride() {
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return stride_;
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}
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/// Compute the number of contiguous elements needed to store a tensor with the given size
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CUTLASS_HOST_DEVICE
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LongIndex capacity(TensorCoord const &extent) const {
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return extent.n() * stride_[2];
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}
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};
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/////////////////////////////////////////////////////////////////////////////////////////////////
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/// Mapping function for 4-D CxRSKx tensors.
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template <int Interleave>
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class TensorCxRSKx {
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public:
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/// Interleaving quantity
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static int const kInterleave = Interleave;
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/// Logical rank of tensor
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static int const kRank = 4;
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/// Rank of stride vector
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static int const kStrideRank = 3;
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/// Index type used for coordinates
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using Index = int32_t;
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/// Long index type used for offsets
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using LongIndex = int64_t;
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/// Logical coordinate
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using TensorCoord = Tensor4DCoord;
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/// Stride vector
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using Stride = Coord<kStrideRank>;
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private:
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//
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// Data members
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//
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/// Stride data member - [c, wc, hwc]
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Stride stride_;
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public:
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//
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// Methods
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//
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/// Constructor
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CUTLASS_HOST_DEVICE
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TensorCxRSKx(Stride const &stride = Stride(0)): stride_(stride) { }
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/// Helper returns a layout to a tightly packed tensor
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CUTLASS_HOST_DEVICE
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static TensorCxRSKx packed(TensorCoord const &extent) {
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return TensorCxRSKx(
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make_Coord(
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kInterleave * extent.n(),
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kInterleave * extent.n() * extent.w(),
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kInterleave * extent.n() * extent.w() * extent.h()
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)
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);
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}
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/// Returns the offset of a coordinate in linear memory.
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CUTLASS_HOST_DEVICE
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LongIndex operator()(TensorCoord const &coord) const {
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Index c_minor = (coord.c() % kInterleave);
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Index c_major = (coord.c() / kInterleave);
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return c_minor +
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LongIndex(kInterleave * coord.n()) +
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LongIndex(stride_[0] * coord.w()) +
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LongIndex(stride_[1] * coord.h()) +
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LongIndex(stride_[2] * c_major);
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride stride() const {
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return stride_;
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}
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/// Returns the stride of the layout
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CUTLASS_HOST_DEVICE
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Stride & stride() {
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return stride_;
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}
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/// Compute the number of contiguous elements needed to store a tensor with the given size
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CUTLASS_HOST_DEVICE
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LongIndex capacity(TensorCoord const &extent) const {
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return (extent.c() / kInterleave * stride_[2]);
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}
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};
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/////////////////////////////////////////////////////////////////////////////////////////////////
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} // namespace layout
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} // namespace cutlass
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