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+/*
+ * Copyright (c) 2019 ARM Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+#pragma once
+
+#include "convolution.hpp"
+#include "tensor.hpp"
+#include "utils.hpp"
+
+namespace winograd
+{
+
+class ITransform
+{
+ public:
+ virtual ~ITransform() = default;
+
+ /**
+ * Get the working space required to perform the transformation.
+ *
+ * Note, the working space is only required when performing the
+ * transformation - hence it can be reused whenever the transformation is
+ * not running.
+ *
+ * @param nthreads The greatest number of threads that will be used to execute the transform.
+ * @return Size of working space required in bytes.
+ */
+ virtual size_t get_working_space_size(unsigned int nthreads=1) const = 0;
+
+ /**
+ * Set the working space to be used by the transformation.
+ *
+ * Note, the working space is only required when performing the
+ * transformation - hence it can be reused whenever the transformation is
+ * not running.
+ *
+ * @param Pointer to the working space.
+ */
+ virtual void set_working_space(void *buffer) = 0;
+
+ /**
+ * Get the window of work a given operator can perform.
+ */
+ virtual unsigned int get_window() const = 0;
+
+ /**
+ * Perform work upon a window of the transform.
+ */
+ virtual void run(unsigned int start, unsigned int stop, unsigned int threadid=0) = 0;
+};
+
+class IInputTransform : public ITransform
+{
+ public:
+ virtual ~IInputTransform() = default;
+
+ /**
+ * Set the pointer to the (NHWC-ordered) tensor to be transformed.
+ */
+ virtual void set_input_tensor(const void *input) = 0;
+
+ /**
+ * Set the pointer to the (NHWC-ordered) tensor to be transformed.
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_input_tensor(const void *input, int col_stride) = 0;
+
+ /**
+ * Set the pointer to the (NHWC-ordered) tensor to be transformed.
+ * @param row_stride Stride between rows of the tensor, measured in elements (not bytes).
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_input_tensor(const void *input, int row_stride, int col_stride) = 0;
+
+ /**
+ * Set the pointer to the (NHWC-ordered) tensor to be transformed.
+ * @param batch_stride Stride between batches of the tensor, measured in elements (not bytes).
+ * @param row_stride Stride between rows of the tensor, measured in elements (not bytes).
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_input_tensor(const void *input, int batch_stride, int row_stride, int col_stride) = 0;
+
+ /**
+ * Set pointers to the matrices written by the transform.
+ * @param matrices Pointer to the start of the first matrix representing the transformed input.
+ * @param inter_matrix_stride Stride (in elements) between matrices.
+ * @param matrix_row_stride Stride (in elements) between the rows within a single matrix.
+ */
+ virtual void set_output_matrices(void *matrices, int inter_matrix_stride, int matrix_row_stride) = 0;
+};
+
+class IOutputTransform : public ITransform
+{
+ public:
+ virtual ~IOutputTransform() = default;
+
+ /**
+ * Set pointers to the matrices written by the transform.
+ * @param matrices Pointer to the start of the first matrix representing the input to the transform.
+ * @param inter_matrix_stride Stride (in elements) between matrices.
+ * @param matrix_row_stride Stride (in elements) between the rows within a single matrix.
+ */
+ virtual void set_input_matrices(const void *matrices, int inter_matrix_stride, int matrix_row_stride) = 0;
+
+ /**
+ * Set pointer to the bias tensor (can be ignored or called with nullptr for no bias.
+ */
+ virtual void set_bias(const void *bias=nullptr) = 0;
+
+ /**
+ * Set pointer to the output tensor produced by the transform.
+ */
+ virtual void set_output_tensor(void *output) = 0;
+
+ /**
+ * Set pointer to the output tensor produced by the transform.
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_output_tensor(void *output, int col_stride) = 0;
+
+ /**
+ * Set pointer to the output tensor produced by the transform.
+ * @param row_stride Stride between rows of the tensor, measured in elements (not bytes).
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_output_tensor(void *output, int row_stride, int col_stride) = 0;
+
+ /**
+ * Set pointer to the output tensor produced by the transform.
+ * @param batch_stride Stride between batches of the tensor, measured in elements (not bytes).
+ * @param row_stride Stride between rows of the tensor, measured in elements (not bytes).
+ * @param col_stride Stride between columns of the tensor, measured in elements (not bytes).
+ */
+ virtual void set_output_tensor(void *output, int batch_stride, int row_stride, int col_stride) = 0;
+};
+
+class IWeightTransform : public ITransform
+{
+ public:
+ virtual ~IWeightTransform() = default;
+
+ /** Set pointer to the weight tensor read by the transform. */
+ virtual void set_weight_tensor(const void *weights) = 0;
+
+ /**
+ * Set pointers to the matrices written by the transform.
+ * @param matrices Pointer to the start of the first matrix representing the transformed input.
+ * @param inter_matrix_stride Stride (in elements) between matrices.
+ * @param matrix_row_stride Stride (in elements) between the rows within a single matrix.
+ */
+ virtual void set_output_matrices(void *matrices, int inter_matrix_stride, int matrix_row_stride) = 0;
+};
+
+enum class WinogradRoots
+{
+ Integers,
+};
+
+template <int InnerTileRows, int InnerTileCols, typename TIn, typename TOut, WinogradRoots Roots>
+class InputTransform : public IInputTransform
+{
+ public:
+ /** Create an InputTransform operator fixed on a given problem and set of
+ * pointers.
+ */
+ InputTransform(
+ int kernel_rows, /**< Number of rows in the kernel */
+ int kernel_cols, /**< Number of columns in the kernel */
+ int n_batches, /**< Number of batches in input tensor. */
+ int n_rows, /**< Number of rows in input tensor. */
+ int n_cols, /**< Number of columns in input tensor. */
+ int n_channels, /**< Number of channels in input tensor. */
+ int padding_top, /**< Padding to apply to the top of the image. */
+ int padding_left, /**< Padding to apply to the left of the image. */
+ int padding_bottom, /**< Padding to apply to the bottom of the image. */
+ int padding_right /**< Padding to apply to the right of the image. */
+ );
+
+ InputTransform(InputTransform&) = delete;
+ InputTransform operator=(InputTransform&) = delete;
+
+ /** Set pointers to the input tensor read by the transform. */
+ void set_input_tensor(const void *input) override;
+ void set_input_tensor(const void *input, int col_stride) override;
+ void set_input_tensor(const void *input, int row_stride, int col_stride) override;
+ void set_input_tensor(const void *input, int batch_stride, int row_stride, int col_stride) override;
+
+ /** Set pointers to the matrices written by the transform. */
+ void set_output_matrices(void *matrices, int iter_matrix_stride, int matrix_row_stride) override;
+
+ /** Get the working space required to perform the transformation. */
+ size_t get_working_space_size(unsigned int nthreads=1) const override;
+ void set_working_space(void *buffer) override;
+
+ /** Get the window of work a given operator can perform. */
+ unsigned int get_window() const override;
+ static constexpr unsigned int WINDOW_BLOCK = 16; // Base size of window
+
+ /** Perform work upon a window of the input. */
+ void run(unsigned int start, unsigned int stop, unsigned int threadid=0) override;
+
+ protected:
+ const int _n_batches, _n_rows, _n_cols, _n_channels;
+
+ private:
+ void transform_unpadded_tile(
+ unsigned int threadid,
+ int n_channels,
+ TOut *outptr,
+ const TIn *inptr
+ );
+
+ void transform_padded_tile(
+ unsigned int threadid,
+ int n_channels,
+ TOut *outptr,
+ const TIn *inptr,
+ int padding_top,
+ int padding_left,
+ int padding_bottom,
+ int padding_right
+ );
+
+ /* Tile implementation */
+ static void transform_tile(
+ int n_channels, /** @param[in] Number of channels in the tensor. */
+ const TIn* inptr_base, /** @param[in] Pointer to the base of the input tile. */
+ int input_row_stride, /** @param[in] Stride between rows of the input tensor. */
+ int input_col_stride, /** @param[in] Stride between columns of the input tensor. */
+ TOut* mptr_base, /** @param[out] Base pointer to transformed input matrices. */
+ int matrix_stride /** @param[in] Stride between matrices in the input space. */
+ );
+
+ /** Get the working space for a thread. */
+ void * get_working_space(unsigned int threadid) const;
+
+ const TIn* _inptr;
+ TOut* _outptr;
+
+ const int _overlap_rows, _overlap_cols;
+ const int _padding_top, _padding_left, _padding_bottom, _padding_right;
+ const int _tiles_M, _tiles_N;
+ int _matrix_stride, _matrix_row_stride, _matrix_batch_stride;
+ int _in_col_stride, _in_row_stride, _in_batch_stride;
+
+ const int _working_space_col_stride, _working_space_row_stride;
+ TIn *_working_space;
+};
+
+template <int InnerTileRows, typename TIn, typename TOut, WinogradRoots Roots>
+class InputTransform<InnerTileRows, 1, TIn, TOut, Roots> :
+ public InputTransform<1, InnerTileRows, TIn, TOut, Roots>
+{
+ using Base = InputTransform<1, InnerTileRows, TIn, TOut, Roots>;
+
+ public:
+ InputTransform(
+ int kernel_rows, /**< Number of rows in the kernel. */
+ int kernel_cols, /**< Number of columns in the kernel. */
+ int n_batches, /**< Number of batches in input tensor. */
+ int n_rows, /**< Number of rows in input tensor. */
+ int n_cols, /**< Number of columns in input tensor. */
+ int n_channels, /**< Number of channels in input tensor. */
+ int padding_top, /**< Padding to apply to the top of the image. */
+ int padding_left, /**< Padding to apply to the left of the image. */
+ int padding_bottom, /**< Padding to apply to the bottom of the image. */
+ int padding_right /**< Padding to apply to the right of the image. */
+ );
+
+ /** Set pointers to the input tensor read by the transform. */
+ void set_input_tensor(const void *input) override;
+ void set_input_tensor(const void *input, int col_stride) override;
+ void set_input_tensor(const void *input, int row_stride, int col_stride) override;
+ void set_input_tensor(const void *input, int batch_stride, int row_stride, int col_stride) override;
+};
+
+template <
+ int KernelRows, int KernelCols,
+ int InnerTileRows, int InnerTileCols,
+ typename TIn, typename TOut,
+ WinogradRoots Roots
+>
+class OutputTransform : public IOutputTransform
+{
+ public:
+ OutputTransform(
+ int n_batches, /**< Number of batches in output tensor. */
+ int n_rows, /**< Number of rows in output tensor. */
+ int n_cols, /**< Number of columns in output tensor. */
+ int n_channels /**< Number of channels in output tensor. */
+ );
+
+ OutputTransform(OutputTransform&) = delete;
+ OutputTransform operator=(OutputTransform&) = delete;
+
+ /** Set pointers to the matrices read by the transform. */
+ void set_input_matrices(const void *matrices, int iter_matrix_stride, int matrix_row_stride) override;
+
+ /** Set pointer to the bias tensor (can be ignored or called with nullptr for no bias */
+ void set_bias(const void *bias=nullptr) override;
+
+ /** Set pointers to the output tensor written by the transform. */
+ void set_output_tensor(void *output) override;
+ void set_output_tensor(void *output, int col_stride) override;
+ void set_output_tensor(void *output, int row_stride, int col_stride) override;
+ void set_output_tensor(void *output, int batch_stride, int row_stride, int col_stride) override;
+
+ /** Get the working space required to perform the transformation. */
+ size_t get_working_space_size(unsigned int nthreads=1) const override;
+ void set_working_space(void *buffer) override;
+
+ /** Get the window of work a given operator can perform. */
+ unsigned int get_window() const override;
+ static constexpr unsigned int WINDOW_BLOCK = 16; // Base size of window
+
+ /** Perform work upon a window of the input. */
+ void run(unsigned int start, unsigned int stop, unsigned int threadid=0) override;
+
+ protected:
+ static constexpr int inner_tile_rows = InnerTileRows;
+ static constexpr int inner_tile_cols = InnerTileCols;
+ static constexpr int output_tile_rows = InnerTileRows - KernelRows + 1;
+ static constexpr int output_tile_cols = InnerTileCols - KernelCols + 1;
+
+ const int _n_batches, _n_rows, _n_cols, _n_channels;
+
+ private:
+ void transform_uncropped_tile(
+ unsigned int threadid,
+ int n_channels,
+ TOut *outptr,
+ const TIn *inptr,
+ const TOut *biases
+ );
+
+ void transform_cropped_tile(
+ unsigned int threadid,
+ int n_channels,
+ TOut *outptr,
+ const TIn *inptr,
+ const TOut *biases,
+ int pad_bottom,
+ int pad_right
+ );
+
+ /** Implementation of the tile transformation method. */
+ static void transform_tile(
+ int n_channels,
+ const TIn* matrix_base,
+ int matrix_stride,
+ const TOut* biases,
+ TOut* output,
+ int output_row_stride,
+ int output_col_stride
+ );
+
+ /** Get the working space for a thread. */
+ void * get_working_space(unsigned int threadid) const;
+
+ const TIn* _matrix_base;
+ const TOut* _biases;
+ int _matrix_stride, _matrix_row_stride, _matrix_batch_stride;
+ TOut* _outptr;
+ const int _tiles_M, _tiles_N;
+ int _out_col_stride, _out_row_stride, _out_batch_stride;
+
+ const int _working_space_col_stride, _working_space_row_stride;
+ TOut *_working_space;
+};
+
+template <
+ int KernelRows,
+ int InnerTileRows,
+ typename TIn, typename TOut,
+ WinogradRoots Roots
+>
+class OutputTransform<KernelRows, 1, InnerTileRows, 1, TIn, TOut, Roots> :
+ public OutputTransform<1, KernelRows, 1, InnerTileRows, TIn, TOut, Roots>
+{
+ using Base = OutputTransform<1, KernelRows, 1, InnerTileRows, TIn, TOut, Roots>;
+
+ public:
+ OutputTransform(
+ int n_batches, /**< Number of batches in output tensor. */
+ int n_rows, /**< Number of rows in output tensor. */
+ int n_cols, /**< Number of columns in output tensor. */
+ int n_channels /**< Number of channels in output tensor. */
+ );
+
+ /** Set pointers to the output tensor written by the transform. */
+ void set_output_tensor(void *output) override;
+ void set_output_tensor(void *output, int col_stride) override;
+ void set_output_tensor(void *output, int row_stride, int col_stride) override;
+ void set_output_tensor(void *output, int batch_stride, int row_stride, int col_stride) override;
+};
+
+template <
+ int KernelRows, int KernelCols,
+ int InnerTileRows, int InnerTileCols,
+ typename TIn, typename TOut,
+ WinogradRoots Roots
+>
+class WeightTransform : public IWeightTransform
+{
+ public:
+ WeightTransform(
+ int n_output_channels, /**< Number of output channels in the kernel. */
+ int n_input_channels /**< Number of input channels in the kernel. */
+ );
+
+ WeightTransform(WeightTransform&) = delete;
+ WeightTransform operator=(WeightTransform&) = delete;
+
+ /** Set pointer to the weight tensor read by the transform. */
+ void set_weight_tensor(const void *weights) override;
+
+ /** Set pointer to the matrices written by the transform. */
+ void set_output_matrices(void *matrices, int inter_matrix_stride, int matrix_row_stride) override;
+
+ /** Get the working space required to perform the transformation. */
+ size_t get_working_space_size(unsigned int nthreads=1) const override;
+ void set_working_space(void *buffer) override;
+
+ /** Get the window of work a given operator can perform. */
+ unsigned int get_window() const override;
+ static constexpr unsigned int WINDOW_BLOCK = 16; // Base size of window
+
+ /** Perform work upon a window of the input. */
+ void run(unsigned int start, unsigned int stop, unsigned int threadid=0) override;
+
+ protected:
+ static const int kernel_rows = KernelRows;
+ static const int kernel_cols = KernelCols;
+ static const int inner_tile_rows = InnerTileRows;
+ static const int inner_tile_cols = InnerTileCols;
+
+ private:
+ /** Apply the transform to a tensor. */
+ static void execute(
+ int n_output_channels,
+ int n_input_channels,
+ const TIn* input,
+ TOut* output,
+ int matrix_stride,
+ int matrix_row_stride
+ );
+
+ const int _n_output_channels, _n_input_channels;
+ TOut *_matrices;
+ int _matrix_stride, _matrix_row_stride;
+ const TIn *_weights;
+};
+
+template <int KernelRows, int InnerTileRows, typename TIn, typename TOut, WinogradRoots Roots>
+class WeightTransform<KernelRows, 1, InnerTileRows, 1, TIn, TOut, Roots> :
+ public WeightTransform<1, KernelRows, 1, InnerTileRows, TIn, TOut, Roots>
+{
+ public:
+ using WeightTransform<1, KernelRows, 1, InnerTileRows, TIn, TOut, Roots>::WeightTransform;
+};
+
+template <int OutputTileRows, int OutputTileCols, int KernelRows, int KernelCols, WinogradRoots Roots>
+class WinogradGEMM
+{
+ public:
+ // Information about the specific Winograd instance
+ static constexpr int output_tile_rows = OutputTileRows;
+ static constexpr int output_tile_cols = OutputTileCols;
+ static constexpr int kernel_rows = KernelRows;
+ static constexpr int kernel_cols = KernelCols;
+ static constexpr int inner_tile_rows = output_tile_rows + kernel_rows - 1;
+ static constexpr int inner_tile_cols = output_tile_cols + kernel_cols - 1;
+ static constexpr int N_GEMMS = inner_tile_rows * inner_tile_cols;
+
+ /** Transform weights from the spatial to the Winograd domain. */
+ template <typename TIn, typename TOut>
+ using WeightsTransform = WeightTransform<
+ KernelRows, KernelCols, inner_tile_rows, inner_tile_cols,
+ TIn, TOut, Roots
+ >;
+
+ /** Transform input feature maps from the spatial to the Winograd domain.
+ */
+ template <typename TIn, typename TOut>
+ using InputTransform = InputTransform<
+ inner_tile_rows, inner_tile_cols, TIn, TOut, Roots
+ >;
+
+ /** Transform output feature maps from the Winograd to the spatial domain.
+ */
+ template <typename TIn, typename TOut>
+ using OutputTransform = OutputTransform<
+ KernelRows, KernelCols, inner_tile_rows, inner_tile_cols,
+ TIn, TOut, Roots
+ >;
+
+ /** Perform a convolution.
+ */
+ template <typename TOut, typename TIn, typename TInGEMM=TIn, typename TOutGEMM=TOut>
+ class Convolution
+ {
+ public:
+ // Information about the typed Winograd instance
+ typedef TOut OutputType;
+ typedef TOutGEMM GemmOutputType;
+ typedef TInGEMM GemmInputType;
+ typedef TIn InputType;
+
+ /** Get the output shape of a convolution. */
+ static Tensor4DShape get_output_shape(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &in_shape,
+ const PaddingType padding
+ );
+
+ /* Get the memory required to transform the kernel.
+ */
+ static size_t get_kernel_transform_working_size(const KernelShape &shape);
+
+ /** Get the memory required to store the kernel transformed into the
+ * Winograd domain.
+ */
+ static size_t get_kernel_storage_size(const KernelShape &shape);
+
+ /** Get the memory required to store the input tensor transformed into
+ * the Winograd domain.
+ */
+ static size_t get_input_storage_size(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ /** Get the memory required to store the output tensor in the Winograd
+ * domain.
+ */
+ static size_t get_output_storage_size(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ /** Get the memory required to apply a Winograd operator to some input.
+ */
+ static size_t get_working_space_size(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ /* Get the memory required by a single "input" matrix.
+ */
+ static size_t get_input_matrix_size(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ static int get_input_matrix_stride(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ /* Get the memory required by a single "output" matrix.
+ */
+ static size_t get_output_matrix_size(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ static int get_output_matrix_stride(
+ const KernelShape &kernel_shape,
+ const Tensor4DShape &input_shape,
+ const PaddingType padding_type
+ );
+
+ /* Get the memory required by a single "kernel" matrix.
+ */
+ static size_t get_kernel_matrix_size(const KernelShape &shape);
+ static int get_kernel_matrix_stride(const KernelShape &shape);
+
+ static constexpr int M_BLOCK = 4; /** Size of block used by GEMM. */
+ static constexpr int N_BLOCK = 16; /** Size of block used by GEMM. */
+ };
+};
+
+} // namespace winograd