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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 Shape implementing the Layout concept for representing a 4D hypercube of objects.
-*/
-#pragma once
-
-#include <cutlass/cutlass.h>
-
-namespace cutlass {
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/*!@defgroup layout_concept Layout Concept
-* @{
-* @par Implementations of \ref layout_concept are used to describe a cube with DxHxW elements and C
-scalars per element.
- A HxW slice of a cube is called an image and a cube consists of D images.
-*
-* @par Notations
-* Let Layout be an implementation of the \ref layout_concept.
-*
-* @par Valid Expressions
-* - <b>Layout::D</b> specifies the depth of a cube
-* - <b>Layout::H</b> specifies the height of a cube
-* - <b>Layout::W</b> specifies the height of a cube
-* - <b>Layout::C</b> specifies the number of channels of each element in a cube
-* - <b>Layout::W_c</b> specifies the number of scalars of each row in one image of a cube.
-* - <b>Layout::H_w</b> specifies the number of elements in an image slice.
-* - <b>Layout::H_w_c</b>_specifies the number of scalars in an image slice.
-* - <b>Layout::D_h_w</b> specifies the number of elements in a cube.
-* - <b>Layout::D_h_w_c</b> specifies the number of scalars in a cube.
-* - <b>Layout::Strides</b> is a \ref layout_concept specifying the strides.
-* @}
-*/
-
-/**
-* @brief A Shape implementing \ref layout_concept describing the dimensions of a cube.
-* @concept{layout_concept}
-*/
-template <int kD_ = 1, int kH_ = 1, int kW_ = 1, int kC_ = 1>
-struct Shape {
- /// The depth of the cube.
- static int const kD = kD_;
- /// The height of the cube.
- static int const kH = kH_;
- /// The width of the cube.
- static int const kW = kW_;
- /// The number of scalars per element.
- static int const kC = kC_;
-};
-
-/**
-* @brief Compute derived counted of a \ref layout_concept based class
-*/
-template <typename Shape>
-struct ShapeCount {
- /// The number of elements per row.
- static int const kWc = Shape::kW * Shape::kC;
- /// The number of pixels per image.
- static int const kHw = Shape::kH * Shape::kW;
- /// The number of elements per image.
- static int const kHwc = Shape::kH * kWc;
- /// The number of pixels per cube.
- static int const kDhw = Shape::kD * kHw;
- /// The number of elements in the 4D space.
- static int const kDhwc = Shape::kD * kHwc;
- /// The number of elements in the 4D space.
- static int const kCount = kDhwc;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, int kScale_>
-struct ShapeScale {
- typedef Shape<A_::kD * kScale_, A_::kH * kScale_, A_::kW * kScale_, A_::kC * kScale_> Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeAdd {
- typedef Shape<A_::kD + B_::kD, A_::kH + B_::kH, A_::kW + B_::kW, A_::kC + B_::kC> Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeSub {
- typedef Shape<A_::kD - B_::kD, A_::kH - B_::kH, A_::kW - B_::kW, A_::kC - B_::kC> Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeMul {
- typedef Shape<A_::kD * B_::kD, A_::kH * B_::kH, A_::kW * B_::kW, A_::kC * B_::kC> Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeDiv {
- typedef Shape<A_::kD / B_::kD, A_::kH / B_::kH, A_::kW / B_::kW, A_::kC / B_::kC> Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeMax {
- typedef Shape<(A_::kD > B_::kD ? A_::kD : B_::kD),
- (A_::kH > B_::kH ? A_::kH : B_::kH),
- (A_::kW > B_::kW ? A_::kW : B_::kW),
- (A_::kC > B_::kC ? A_::kC : B_::kC)>
- Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename A_, typename B_>
-struct ShapeMin {
- typedef Shape<(A_::kD < B_::kD ? A_::kD : B_::kD),
- (A_::kH < B_::kH ? A_::kH : B_::kH),
- (A_::kW < B_::kW ? A_::kW : B_::kW),
- (A_::kC < B_::kC ? A_::kC : B_::kC)>
- Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-template <typename Shape_, int kElementsPerAccess>
-struct ShapeStrides {
- typedef Shape<Shape_::kH * Shape_::kW * Shape_::kC,
- Shape_::kW * Shape_::kC,
- Shape_::kC,
- kElementsPerAccess>
- Shape;
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube
-* @tparam A \ref layout_concept where each dimension of the cube specifies the corresponding stride.
-*/
-template <typename Shape_>
-struct ComputeOffsetFromShape {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) {
- // clang-format off
- return d * Shape_::kH * Shape_::kW * Shape_::kC +
- h * Shape_::kW * Shape_::kC +
- w * Shape_::kC +
- c;
- // clang-format on
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube with a depth of 1
-* @tparam kSh Elements in the H dimension
-* @tparam kSw Elements in the W dimension
-* @tparam kSc Separation between two elements in "elements"
-*/
-template <int kSh_, int kSw_, int kSc_>
-struct ComputeOffsetFromShape<Shape<1, kSh_, kSw_, kSc_> > {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) {
- return h * kSw_ * kSc_ + w * kSc_ + c;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube with one channel and a depth of 1
-* @tparam kSh Elements in the H dimension
-* @tparam kSw Elements in the W dimension
-*/
-template <int kSh_, int kSw_>
-struct ComputeOffsetFromShape<Shape<1, kSh_, kSw_, 1> > {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) { return h * kSw_ + w; }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube
-* @tparam A \ref layout_concept where each dimension of the cube specifies the corresponding stride.
-*/
-template <typename Strides_>
-struct ComputeOffsetFromStrides {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) {
- return d * Strides_::kD + h * Strides_::kH + w * Strides_::kW + c * Strides_::kC;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube with a depth of 1
-* @tparam S_h Stride in the H dimension in scalars
-* @tparam S_w Stride in the W dimension in scalars
-* @tparam S_c Stride between two scalars.
-*/
-template <int S_h_, int S_w_, int S_c_>
-struct ComputeOffsetFromStrides<Shape<1, S_h_, S_w_, S_c_> > {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) {
- return h * S_h_ + w * S_w_ + c * S_c_;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Compute the offset for the given coordinates in a cube with one channel and a depth of 1
-* @tparam S_h Stride in the H dimension in scalars
-* @tparam S_w Stride in the W dimension in scalars
-*/
-template <int S_h_, int S_w_>
-struct ComputeOffsetFromStrides<Shape<1, S_h_, S_w_, 1> > {
- static CUTLASS_DEVICE int get(int d, int h, int w, int c) { return h * S_h_ + w * S_w_; }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-* @brief Decompose threadId.x into coordinate of a cube whose dimensions are specified by Threads_.
-* Afterwards compute the offset of those coordinates using Strides_
-* @tparam Threads_ The dimension of the cube the threadIdx.x value is mapped on
-* @tparam Strides_ The strides to use when compute the offsets based on the coordinates of the cube.
-*/
-template <typename Threads_, typename Strides_>
-struct ComputeThreadOffsetFromStrides {
- static CUTLASS_DEVICE int get() {
- // Decompose the thread index.
- int c = threadIdx.x % Threads_::kC;
- int w = threadIdx.x / Threads_::kC % Threads_::kW;
- int h = threadIdx.x / Threads_::kC / Threads_::kW % Threads_::kH;
- int d = threadIdx.x / Threads_::kC / Threads_::kW / Threads_::kH;
-
- // Compute the offset.
- return d * Strides_::kD + h * Strides_::kH + w * Strides_::kW + c * Strides_::kC;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-/**
-*@brief Specialization for D=1
-*/
-template <int T_h_, int T_w_, int T_c_, int S_h_, int S_w_, int S_c_>
-struct ComputeThreadOffsetFromStrides<Shape<1, T_h_, T_w_, T_c_>, Shape<1, S_h_, S_w_, S_c_> > {
- static CUTLASS_DEVICE int get() {
- // Decompose the thread index.
- int c = threadIdx.x % T_c_;
- int w = threadIdx.x / T_c_ % T_w_;
- int h = threadIdx.x / T_c_ / T_w_ % T_h_;
-
- // Compute the offset.
- return h * S_h_ + w * S_w_ + c * S_c_;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-/**
-*@brief Specialization for D=1 and C=1
-*/
-template <int T_h_, int T_w_, int S_h_, int S_w_>
-struct ComputeThreadOffsetFromStrides<Shape<1, T_h_, T_w_, 1>, Shape<1, S_h_, S_w_, 1> > {
- static CUTLASS_DEVICE int get() {
- // Decompose the thread index.
- int w = threadIdx.x % T_w_;
- int h = threadIdx.x / T_w_;
-
- // Compute the offset.
- return h * S_h_ + w * S_w_;
- }
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-
-} // namespace cutlass