| /* |
| * Copyright (c) 2018 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. |
| */ |
| #include "Winograd.h" |
| |
| #include "tests/validation/Helpers.h" |
| #include "tests/validation/reference/Utils.h" |
| |
| #include "arm_compute/core/Types.h" |
| |
| #include <algorithm> |
| |
| namespace arm_compute |
| { |
| namespace test |
| { |
| namespace validation |
| { |
| namespace reference |
| { |
| namespace |
| { |
| template <typename T> |
| void initialize_matrix_transform(SimpleTensor<T> &src, const Size2D &output_tile_size, const Size2D &kernel_size, WinogradTransformType winograd_transform_type) |
| { |
| // Winograd input transform matrices |
| static const float imatrix2x2_3x3[] = |
| { |
| 1.0f, 0.0f, -1.0f, 0.0f, |
| 0.0f, 1.0f, 1.0f, 0.0f, |
| 0.0f, -1.0f, 1.0f, 0.0f, |
| 0.0f, 1.0f, 0.0f, -1.0f |
| }; |
| |
| static const float imatrix4x4_3x3[] = |
| { |
| 4.0f, 0.0f, -5.0f, 0.0f, 1.0f, 0.0f, |
| 0.0f, -4.0f, -4.0f, 1.0f, 1.0f, 0.0f, |
| 0.0f, 4.0f, -4.0f, -1.0f, 1.0f, 0.0f, |
| 0.0f, -2.0f, -1.0f, 2.0f, 1.0f, 0.0f, |
| 0.0f, 2.0f, -1.0f, -2.0f, 1.0f, 0.0f, |
| 0.0f, 4.0f, 0.0f, -5.0f, 0.0f, 1.0f, |
| }; |
| |
| static const float imatrix4x4_5x5[] = |
| { |
| 1.f, 0.f, -21.f / 4.f, 0.f, 21.f / 4.f, 0.f, -1.f, 0.f, |
| 0.f, 1.f, 1.f, -17.f / 4.f, -17.f / 4.f, 1.f, 1.f, 0.f, |
| 0.f, -1.f, 1.f, 17.f / 4.f, -17.f / 4.f, -1.f, 1.f, 0.f, |
| 0.f, 1.f / 2.f, 1.f / 4.f, -5.f / 2.f, -5.f / 4.f, 2.f, 1.f, 0.f, |
| 0.f, -1.f / 2.f, 1.f / 4.f, 5.f / 2.f, -5.f / 4.f, -2.f, 1.f, 0.f, |
| 0.f, 2.f, 4.f, -5.f / 2.f, -5.f, 1.f / 2.f, 1.f, 0.f, |
| 0.f, -2.f, 4.f, 5.f / 2.f, -5.f, -1.f / 2.f, 1.f, 0.f, |
| 0.f, -1.f, 0.f, 21.f / 4.f, 0.f, -21.f / 4.f, 0.f, 1.f |
| }; |
| |
| // ------------------------------------------ |
| |
| // Winograd filter transform matrices |
| static const float fmatrix2x2_3x3[] = |
| { |
| 1.0f, 0.0f, 0.0f, |
| 0.5f, 0.5f, 0.5f, |
| 0.5f, -0.5f, 0.5f, |
| 0.0f, 0.0f, 1.0f |
| }; |
| |
| static const float fmatrix4x4_3x3[] = |
| { |
| 0.25f, 0.0f, 0.0f, |
| -1.0f / 6.0f, -1.0f / 6.0f, -1.0f / 6.0f, |
| -1.0f / 6.0f, 1.0f / 6.0f, -1.0f / 6.0f, |
| 1.0f / 24.0f, 1.0f / 12.0f, 1.0f / 6.0f, |
| 1.0f / 24.0f, -1.0f / 12.0f, 1.0f / 6.0f, |
| 0.0f, 0.0f, 1.0f |
| }; |
| |
| static const float fmatrix4x4_5x5[] = |
| { |
| 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, |
| -2.0f / 9.0f, -2.0f / 9.0f, -2.0f / 9.0f, -2.0f / 9.0f, -2.0f / 9.0f, |
| -2.0f / 9.0f, 2.0f / 9.0f, -2.0f / 9.0f, 2.0f / 9.0f, -2.0f / 9.0f, |
| 1.0f / 90.0f, 1.0f / 45.0f, 2.0f / 45.0f, 4.0f / 45.0f, 8.0f / 45.0f, |
| 1.0f / 90.0f, -1.0f / 45.0f, 2.0f / 45.0f, -4.0f / 45.0f, 8.0f / 45.0f, |
| 4.0f / 45.0f, 2.0f / 45.0f, 1.0f / 45.0f, 1.0f / 90.0f, 1.0f / 180.0f, |
| 4.0f / 45.0f, -2.0f / 45.0f, 1.0f / 45.0f, -1.0f / 90.0f, 1.0f / 180.0f, |
| 0.0f, 0.0f, 0.0f, 0.0f, 1.0f |
| |
| }; |
| |
| // ------------------------------------------ |
| |
| // Winograd output transform matrices |
| static const float omatrix2x2_3x3[] = |
| { |
| 1.0f, 1.0f, 1.0f, 0.0f, |
| 0.0f, 1.0f, -1.0f, -1.0f |
| }; |
| |
| static const float omatrix4x4_3x3[] = |
| { |
| 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 0.0f, |
| 0.0f, 1.0f, -1.0f, 2.0f, -2.0f, 0.0f, |
| 0.0f, 1.0f, 1.0f, 4.0f, 4.0f, 0.0f, |
| 0.0f, 1.0f, -1.0f, 8.0f, -8.0f, 1.0f |
| }; |
| |
| // ------------------------------------------ |
| |
| using WinogradKey = std::tuple<std::pair<int, int>, std::pair<int, int>, WinogradTransformType>; |
| |
| // Key = (Output tile size, Kernel size, Winograd transform type) |
| static std::map<WinogradKey, const float *> matrix_map = |
| { |
| { WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(3, 3), WinogradTransformType::INPUT), imatrix2x2_3x3 }, |
| { WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(3, 3), WinogradTransformType::INPUT), imatrix4x4_3x3 }, |
| { WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(5, 5), WinogradTransformType::INPUT), imatrix4x4_5x5 }, |
| { WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(3, 3), WinogradTransformType::FILTER), fmatrix2x2_3x3 }, |
| { WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(3, 3), WinogradTransformType::FILTER), fmatrix4x4_3x3 }, |
| { WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(5, 5), WinogradTransformType::FILTER), fmatrix4x4_5x5 }, |
| { WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(3, 3), WinogradTransformType::OUTPUT), omatrix2x2_3x3 }, |
| { WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(3, 3), WinogradTransformType::OUTPUT), omatrix4x4_3x3 }, |
| }; |
| |
| // Find transformation matrix |
| std::map<WinogradKey, const float *>::iterator it; |
| |
| it = matrix_map.find(WinogradKey(std::pair<int, int>(output_tile_size.width, output_tile_size.height), |
| std::pair<int, int>(kernel_size.width, kernel_size.height), |
| winograd_transform_type)); |
| |
| float const *matrix_values = nullptr; |
| if(it != matrix_map.end()) |
| { |
| // Get matrix pointer |
| matrix_values = it->second; |
| } |
| else |
| { |
| ARM_COMPUTE_ERROR("Winograd configuration not supported"); |
| } |
| |
| // Copy values |
| std::copy(&matrix_values[0], &matrix_values[0] + src.num_elements(), &src[0]); |
| } |
| } // namespace |
| |
| template <typename T> |
| SimpleTensor<T> winograd_input_transform(const SimpleTensor<T> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info) |
| { |
| ARM_COMPUTE_ERROR_ON(in.data_layout() != DataLayout::NCHW); |
| |
| const PadStrideInfo conv_info = winograd_info.convolution_info; |
| const Size2D output_tile_size = winograd_info.output_tile_size; |
| const Size2D kernel_size = winograd_info.kernel_size; |
| |
| SimpleTensor<T> out{ output_shape, in.data_type() }; |
| |
| // Calculate dimensions for the tile |
| const unsigned int tile_w = output_tile_size.width + kernel_size.width - 1; |
| const unsigned int tile_h = output_tile_size.height + kernel_size.height - 1; |
| |
| TensorShape tile_dims(tile_w, tile_h); |
| |
| // Simple tensor for the input tile |
| SimpleTensor<T> src_tile{ tile_dims, in.data_type() }; |
| |
| // Simple tensor for the temporary tile |
| SimpleTensor<T> tmp_tile{ tile_dims, in.data_type() }; |
| |
| // Simple tensor for the output tile |
| SimpleTensor<T> dst_tile{ tile_dims, in.data_type() }; |
| |
| // Simple tensor for the transformation matrix |
| SimpleTensor<T> matrix{ tile_dims, in.data_type() }; |
| |
| // Simple tensor for the transformation matrix transposed |
| SimpleTensor<T> matrix_transposed{ tile_dims, in.data_type() }; |
| |
| // Initialize matrix for the input transform |
| initialize_matrix_transform(matrix, output_tile_size, kernel_size, WinogradTransformType::INPUT); |
| |
| // Transpose matrix |
| transpose_matrix(matrix, matrix_transposed); |
| |
| const int in_w = in.shape().x(); |
| const int in_h = in.shape().y(); |
| const int in_d = in.shape().z(); |
| const int out_d = out.shape().z(); |
| const int num_batches = in.shape().total_size() / (in_w * in_h * in_d); |
| const int num_tiles_x = std::ceil((in_w - (kernel_size.width - 1) + conv_info.pad_left() + conv_info.pad_right()) / static_cast<float>(output_tile_size.width)); |
| const int num_tiles_y = std::ceil((in_h - (kernel_size.height - 1) + conv_info.pad_top() + conv_info.pad_bottom()) / static_cast<float>(output_tile_size.height)); |
| const int step_x = output_tile_size.width; |
| const int step_y = output_tile_size.height; |
| |
| ARM_COMPUTE_ERROR_ON((num_tiles_x * num_tiles_y) != static_cast<int>(out.shape().y())); |
| |
| for(int b = 0; b < num_batches; ++b) |
| { |
| for(int z = 0; z < in_d; ++z) |
| { |
| for(int y = 0; y < num_tiles_y; ++y) |
| { |
| for(int x = 0; x < num_tiles_x; ++x) |
| { |
| int xi = x * step_x - conv_info.pad_left(); |
| int yi = y * step_y - conv_info.pad_top(); |
| |
| // Get the tile from the input tensor |
| get_tile(in, src_tile, Coordinates(xi, yi, z, b)); |
| |
| // Compute the transformation |
| matrix_multiply(matrix, src_tile, tmp_tile); |
| matrix_multiply(tmp_tile, matrix_transposed, dst_tile); |
| |
| // Store the output tile across the channels |
| for(int i = 0; i < out_d; ++i) |
| { |
| int xo = z; |
| int yo = x + y * num_tiles_x; |
| out[coords2index(out.shape(), Coordinates(xo, yo, i, b))] = dst_tile[i]; |
| } |
| } |
| } |
| } |
| } |
| |
| return out; |
| } |
| |
| template <typename T> |
| SimpleTensor<T> winograd_filter_transform(const SimpleTensor<T> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info) |
| { |
| ARM_COMPUTE_ERROR_ON_MSG(in.data_layout() != DataLayout::NCHW, "Only supported NCHW data format"); |
| |
| // Create reference |
| SimpleTensor<T> out{ output_shape, in.data_type(), 1 }; |
| |
| const Size2D output_tile_size = winograd_info.output_tile_size; |
| const Size2D kernel_size = winograd_info.kernel_size; |
| |
| TensorShape kernel_tile_dims(kernel_size.width, kernel_size.height); |
| |
| // Calculate dimensions for the tile |
| const unsigned int input_tile_w = output_tile_size.width + kernel_size.width - 1; |
| const unsigned int input_tile_h = output_tile_size.height + kernel_size.height - 1; |
| const unsigned int input_tile_area = input_tile_w * input_tile_h; |
| |
| // Simple tensor for the input tile |
| SimpleTensor<T> input_tile{ kernel_tile_dims, in.data_type(), 1 }; |
| |
| // Simple tensor for the transformation matrix |
| SimpleTensor<T> trans_matrix{ TensorShape(kernel_tile_dims[0], input_tile_w), in.data_type(), 1 }; |
| |
| // Simple tensor for the transformation matrix transpose |
| SimpleTensor<T> trans_matrix_transposed{ TensorShape(input_tile_w, kernel_tile_dims[0]), in.data_type(), 1 }; |
| |
| // Simple tensor for the temporary tile |
| SimpleTensor<T> tmp_tile{ TensorShape(kernel_tile_dims[0], input_tile_w), in.data_type(), 1 }; |
| |
| // Simple tensor for the output tile |
| SimpleTensor<T> transf_tile{ TensorShape(input_tile_w, input_tile_w), in.data_type(), 1 }; |
| |
| // Initialize matrix for the filter transform |
| initialize_matrix_transform(trans_matrix, output_tile_size, kernel_size, WinogradTransformType::FILTER); |
| |
| // Transpose the transformation matrix |
| transpose_matrix(trans_matrix, trans_matrix_transposed); |
| |
| const int num_channels = in.shape()[2]; |
| const int num_filters = in.shape()[3]; |
| const int num_batches = in.shape().total_size() / (kernel_size.area() * num_channels * num_filters); |
| |
| for(int n = 0; n < num_batches; ++n) |
| { |
| for(int w = 0; w < num_filters; ++w) |
| { |
| for(int z = 0; z < num_channels; ++z) |
| { |
| // Load the tile from the input tensor |
| get_tile(in, input_tile, Coordinates(0, 0, z, w, n)); |
| |
| // First transformation |
| matrix_multiply(trans_matrix, input_tile, tmp_tile); |
| |
| // Second transformation |
| matrix_multiply(tmp_tile, trans_matrix_transposed, transf_tile); |
| |
| // Store the output tile across the channels |
| const int output_offset = w + z * num_filters; |
| |
| // Store the values across the channels |
| for(unsigned int i = 0; i < input_tile_area; ++i) |
| { |
| out[output_offset + i * num_filters * num_channels] = transf_tile[i]; |
| } |
| } |
| } |
| } |
| |
| return out; |
| } |
| |
| template <typename T> |
| SimpleTensor<T> winograd_output_transform(const SimpleTensor<T> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info) |
| { |
| ARM_COMPUTE_ERROR_ON_MSG(winograd_info.output_data_layout != DataLayout::NCHW, "Only supported NCHW data format"); |
| |
| const PadStrideInfo conv_info = winograd_info.convolution_info; |
| const Size2D input_dimensions = winograd_info.input_dimensions; |
| const Size2D output_tile_size = winograd_info.output_tile_size; |
| const Size2D kernel_size = winograd_info.kernel_size; |
| |
| // Create reference |
| SimpleTensor<T> out{ output_shape, in.data_type(), 1 }; |
| |
| // Calculate dimensions for the tiles |
| const unsigned int in_tile_w = output_tile_size.width + kernel_size.width - 1; |
| const unsigned int in_tile_h = output_tile_size.height + kernel_size.height - 1; |
| const unsigned int out_tile_w = output_tile_size.width; |
| const unsigned int out_tile_h = output_tile_size.height; |
| |
| ARM_COMPUTE_ERROR_ON(in.shape()[2] != (in_tile_w * in_tile_h)); |
| ARM_COMPUTE_ERROR_ON(in.shape()[0] != out.shape()[2]); |
| |
| // Compute tile dimensions |
| // Input tile dimensions |
| TensorShape in_tile_dims(in_tile_w, in_tile_h); |
| |
| // Output tile dimensions |
| TensorShape out_tile_dims(output_tile_size.width, output_tile_size.height); |
| |
| // Transformation matrix dimensions |
| TensorShape tr_tile_dims(in_tile_w, output_tile_size.width); |
| |
| // Create tensors |
| // Simple tensor for the input tile |
| SimpleTensor<T> input_tile{ in_tile_dims, in.data_type(), 1 }; |
| |
| // Simple tensor for the transformation matrix |
| SimpleTensor<T> trans_matrix{ tr_tile_dims, in.data_type(), 1 }; |
| |
| // Simple tensor for the transformation matrix transpose |
| SimpleTensor<T> trans_matrix_transposed{ TensorShape(tr_tile_dims[1], tr_tile_dims[0]), in.data_type(), 1 }; |
| |
| // Simple tensor for the temporary tile |
| SimpleTensor<T> tmp_tile{ tr_tile_dims, in.data_type(), 1 }; |
| |
| // Simple tensor for the output tile |
| SimpleTensor<T> output_tile{ out_tile_dims, in.data_type(), 1 }; |
| |
| // Initialize matrix for the output transform |
| initialize_matrix_transform(trans_matrix, output_tile_size, kernel_size, WinogradTransformType::OUTPUT); |
| |
| // Transpose the transformation matrix |
| transpose_matrix(trans_matrix, trans_matrix_transposed); |
| |
| const int w_in = in.shape()[0]; |
| const int h_in = in.shape()[1]; |
| const int c_in = in.shape()[2]; |
| const int w_out = out.shape()[0]; |
| const int h_out = out.shape()[1]; |
| const int c_out = out.shape()[2]; |
| const int num_batches = in.shape().total_size() / (w_in * h_in * c_in); |
| |
| // Input strides |
| const int stridey_in = w_in; |
| const int stridez_in = stridey_in * h_in; |
| const int stridew_in = stridez_in * c_in; |
| |
| // Output strides |
| const int stridey_out = w_out; |
| const int stridez_out = stridey_out * h_out; |
| const int stridew_out = stridez_out * c_out; |
| |
| // Compute number of elements to process in the X and Y direction |
| const int num_elements_x = input_dimensions.width - (kernel_size.width - 1) + conv_info.pad_left() + conv_info.pad_right(); |
| const int num_elements_y = input_dimensions.height - (kernel_size.height - 1) + conv_info.pad_top() + conv_info.pad_bottom(); |
| const int num_tiles_x = std::ceil(num_elements_x / static_cast<float>(output_tile_size.width)); |
| const int num_tiles_y = std::ceil(num_elements_y / static_cast<float>(output_tile_size.height)); |
| |
| ARM_COMPUTE_UNUSED(num_tiles_y); |
| ARM_COMPUTE_ERROR_ON(in.shape()[1] != static_cast<unsigned int>(num_tiles_x * num_tiles_y)); |
| |
| for(int n = 0; n < num_batches; ++n) |
| { |
| for(int y = 0; y < h_in; ++y) |
| { |
| for(int x = 0; x < w_in; ++x) |
| { |
| // Load the input tile tile across the channels of the input tensor |
| for(int z = 0; z < c_in; ++z) |
| { |
| input_tile[z] = in[x + (y * stridey_in) + (z * stridez_in) + (n * stridew_in)]; |
| } |
| |
| // First transformation |
| matrix_multiply(trans_matrix, input_tile, tmp_tile); |
| |
| // Second transformation |
| matrix_multiply(tmp_tile, trans_matrix_transposed, output_tile); |
| |
| // Store the output tile |
| const int xo = (y % num_tiles_x) * out_tile_w; |
| const int yo = (y / num_tiles_x) * out_tile_h; |
| const int zo = x; |
| |
| const int output_offset = xo + (yo * stridey_out) + (zo * stridez_out) + (n * stridew_out); |
| |
| for(int yi = 0; yi < static_cast<int>(out_tile_h); ++yi) |
| { |
| for(int xi = 0; xi < static_cast<int>(out_tile_w); ++xi) |
| { |
| // Check out-of-bound writes |
| if((xo + xi < w_out) && (yo + yi < h_out)) |
| { |
| out[output_offset + yi * stridey_out + xi] = output_tile[xi + yi * out_tile_w]; |
| } |
| } |
| } |
| } |
| } |
| } |
| |
| return out; |
| } |
| |
| template SimpleTensor<float> winograd_filter_transform(const SimpleTensor<float> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info); |
| template SimpleTensor<float> winograd_input_transform(const SimpleTensor<float> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info); |
| template SimpleTensor<float> winograd_output_transform(const SimpleTensor<float> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info); |
| } // namespace reference |
| } // namespace validation |
| } // namespace test |
| } // namespace arm_compute |