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/*
* Copyright (c) 2018-2019 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.
*/
#include "Winograd.h"
#include "tests/validation/Helpers.h"
#include "tests/validation/reference/Utils.h"
#include "arm_compute/core/Types.h"
#include <algorithm>
#include <cmath>
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
};
static const float imatrix2x1_7x7[] =
{
-36.0f, 0.0f, 49.0f, 0.0f, -14.0f, 0.0f, 1.0f, 0.0f,
0.0f, -36.0f, 36.0f, 13.0f, -13.0f, -1.0f, 1.0f, 0.0f,
0.0f, 36.0f, 36.0f, -13.0f, -13.0f, 1.0f, 1.0f, 0.0f,
0.0f, -18.0f, 9.0f, 20.0f, -10.0f, -2.0f, 1.0f, 0.0f,
0.0f, 18.0f, 9.0f, -20.0f, -10.0f, 2.0f, 1.0f, 0.0f,
0.0f, -12.0f, 4.0f, 15.0f, -5.0f, -3.0f, 1.0f, 0.0f,
0.0f, 12.0f, 4.0f, -15.0f, -5.0f, 3.0f, 1.0f, 0.0f,
0.0f, -36.0f, 0.0f, 49.0f, 0.0f, -14.0f, 0.0f, 1.0f
};
// ------------------------------------------
// 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
};
static const float fmatrix2x1_7x7[] =
{
-1.0f / 36.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f,
1.0f / 48.0f, -1.0f / 48.0f, 1.0f / 48.0f, -1.0f / 48.0f, 1.0f / 48.0f, -1.0f / 48.0f, 1.0f / 48.0f,
1.0f / 48.0f, 1.0f / 48.0f, 1.0f / 48.0f, 1.0f / 48.0f, 1.0f / 48.0f, 1.0f / 48.0f, 1.0f / 48.0f,
-1.0f / 120.0f, 1.0f / 60.0f, -1.0f / 30.0f, 1.0f / 15.0f, -2.0f / 15.0f, 4.0f / 15.0f, -8.0f / 15.0f,
-1.0f / 120.0f, -1.0f / 60.0f, -1.0f / 30.0f, -1.0f / 15.0f, -2.0f / 15.0f, -4.0f / 15.0f, -8.0f / 15.0f,
1.0f / 720.0f, -1.0f / 240.0f, 1.0f / 80.0f, -3.0f / 80.0f, 9.0f / 80.0f, -27.0f / 80.0f, 81.0f / 80.0f,
1.0f / 720.0f, 1.0f / 240.0f, 1.0f / 80.0f, 3.0f / 80.0f, 9.0f / 80.0f, 27.0f / 80.0f, 81.0f / 80.0f,
0.0f, 0.0f, 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
};
static const float omatrix4x4_5x5[] =
{
1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 8.0f, 8.0f, 0.0f,
0.0f, 1.0f, -1.0f, 2.0f, -2.0f, 4.0f, -4.0f, 0.0f,
0.0f, 1.0f, 1.0f, 4.0f, 4.0f, 2.0f, 2.0f, 0.0f,
0.0f, 1.0f, -1.0f, 8.0f, -8.0f, 1.0f, -1.0f, 1.0f
};
static const float omatrix2x1_7x7[] =
{
1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 0.0f,
0.0f, -1.0f, 1.0f, -2.0f, 2.0f, -3.0f, 3.0f, 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>(2, 1), std::pair<int, int>(3, 1), WinogradTransformType::INPUT), imatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(4, 1), std::pair<int, int>(3, 1), WinogradTransformType::INPUT), imatrix4x4_3x3 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 3), WinogradTransformType::INPUT), imatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 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>(4, 1), std::pair<int, int>(5, 1), WinogradTransformType::INPUT), imatrix4x4_5x5 },
{ WinogradKey(std::pair<int, int>(2, 1), std::pair<int, int>(7, 1), WinogradTransformType::INPUT), imatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 7), WinogradTransformType::INPUT), imatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(7, 7), WinogradTransformType::INPUT), imatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 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>(2, 1), std::pair<int, int>(3, 1), WinogradTransformType::FILTER), fmatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(4, 1), std::pair<int, int>(3, 1), WinogradTransformType::FILTER), fmatrix4x4_3x3 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 3), WinogradTransformType::FILTER), fmatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 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>(4, 1), std::pair<int, int>(5, 1), WinogradTransformType::FILTER), fmatrix4x4_5x5 },
{ WinogradKey(std::pair<int, int>(2, 1), std::pair<int, int>(7, 1), WinogradTransformType::FILTER), fmatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 7), WinogradTransformType::FILTER), fmatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(7, 7), WinogradTransformType::FILTER), fmatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 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 },
{ WinogradKey(std::pair<int, int>(2, 1), std::pair<int, int>(3, 1), WinogradTransformType::OUTPUT), omatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(4, 1), std::pair<int, int>(3, 1), WinogradTransformType::OUTPUT), omatrix4x4_3x3 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 3), WinogradTransformType::OUTPUT), omatrix2x2_3x3 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 3), WinogradTransformType::OUTPUT), omatrix4x4_3x3 },
{ WinogradKey(std::pair<int, int>(4, 4), std::pair<int, int>(5, 5), WinogradTransformType::OUTPUT), omatrix4x4_5x5 },
{ WinogradKey(std::pair<int, int>(4, 1), std::pair<int, int>(5, 1), WinogradTransformType::OUTPUT), omatrix4x4_5x5 },
{ WinogradKey(std::pair<int, int>(2, 1), std::pair<int, int>(7, 1), WinogradTransformType::OUTPUT), omatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 2), std::pair<int, int>(1, 7), WinogradTransformType::OUTPUT), omatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(2, 2), std::pair<int, int>(7, 7), WinogradTransformType::OUTPUT), omatrix2x1_7x7 },
{ WinogradKey(std::pair<int, int>(1, 4), std::pair<int, int>(1, 5), WinogradTransformType::OUTPUT), omatrix4x4_5x5 },
};
// 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;
// Get the maximum dimension from the tile size
const unsigned int tile_max_dim = std::max(tile_w, tile_h);
TensorShape tile_dims(tile_max_dim, tile_max_dim);
// 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<T>(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 step_x = output_tile_size.width;
const int step_y = output_tile_size.height;
// Compute the number of output tiles along the x and y direction of size "output_tile_size"
const Size2D num_tiles = compute_winograd_convolution_tiles(Size2D(in_w, in_h),
kernel_size,
output_tile_size,
conv_info);
const int num_tiles_x = num_tiles.width;
const int num_tiles_y = num_tiles.height;
// In case of 1D convolution, the input tile has to be partially filled with zeros
int start_x_zero = 0;
int start_y_zero = 0;
int end_x_zero = 0;
int end_y_zero = 0;
if(output_tile_size.width == 1)
{
start_x_zero = 1;
start_y_zero = 0;
end_x_zero = tile_max_dim - 1;
end_y_zero = tile_max_dim;
}
else if(output_tile_size.height == 1)
{
start_x_zero = 0;
start_y_zero = 1;
end_x_zero = tile_max_dim;
end_y_zero = tile_max_dim - 1;
}
// Set the anchor and shape of the zeros area
const Coordinates anchor_zeros(start_x_zero, start_y_zero);
const TensorShape shape_zeros(end_x_zero, end_y_zero);
// If we have a vertical filter (i.e. 1x3, 1x5,..), we need to take the elements along the y direction (step = width of the output tile)
const int step_y_transf_tile = kernel_size.width == 1 ? tile_max_dim : 1;
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<T>(in, src_tile, Coordinates(xi, yi, z, b));
// Fill partially with zeros in case of 1D convolution
zeros<T>(src_tile, anchor_zeros, shape_zeros);
// Compute the transformation
matrix_multiply<T>(matrix, src_tile, tmp_tile);
matrix_multiply<T>(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 * step_y_transf_tile];
}
}
}
}
}
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;
// 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;
// Get the maximum dimension from the filter size
const unsigned int kernel_max_dim = std::max(kernel_size.width, kernel_size.height);
// Get the maximum dimension from the input tile
const unsigned int input_tile_max_dim = std::max(input_tile_w, input_tile_h);
// Simple tensor for the input tile
SimpleTensor<T> input_tile{ TensorShape(kernel_max_dim, kernel_max_dim), in.data_type(), 1 };
// Simple tensor for the transformation matrix
SimpleTensor<T> trans_matrix{ TensorShape(kernel_max_dim, input_tile_max_dim), in.data_type(), 1 };
// Simple tensor for the transformation matrix transpose
SimpleTensor<T> trans_matrix_transposed{ TensorShape(input_tile_max_dim, kernel_max_dim), in.data_type(), 1 };
// Simple tensor for the temporary tile
SimpleTensor<T> tmp_tile{ TensorShape(kernel_max_dim, input_tile_max_dim), in.data_type(), 1 };
// Simple tensor for the output tile
SimpleTensor<T> transf_tile{ TensorShape(input_tile_max_dim, input_tile_max_dim), 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<T>(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);
// If we have a vertical filter (i.e. 1x3, 1x5,..), we need to take the elements along the y direction (step_y_transf_tile = width of the output tile)
const int step_y_transf_tile = kernel_size.width == 1 ? input_tile_max_dim : 1;
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<T>(in, input_tile, Coordinates(0, 0, z, w, n));
// First transformation
matrix_multiply<T>(trans_matrix, input_tile, tmp_tile);
// Second transformation
matrix_multiply<T>(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 * step_y_transf_tile];
}
}
}
}
return out;
}
template <typename T>
SimpleTensor<T> winograd_output_transform(const SimpleTensor<T> &in, const SimpleTensor<T> &b, const TensorShape &output_shape, const WinogradInfo &winograd_info)
{
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()[get_data_layout_dimension_index(winograd_info.output_data_layout, DataLayoutDimension::CHANNEL)]);
// Get the maximum dimension from the tile size
const unsigned int in_tile_max_dim = std::max(in_tile_w, in_tile_h);
const unsigned int out_tile_max_dim = std::max(output_tile_size.width, output_tile_size.height);
// Compute tile dimensions
// Input tile dimensions
TensorShape in_tile_dims(in_tile_max_dim, in_tile_max_dim);
// Output tile dimensions
TensorShape out_tile_dims(out_tile_max_dim, out_tile_max_dim);
// Transformation matrix dimensions
TensorShape tr_tile_dims(in_tile_max_dim, out_tile_max_dim);
// 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<T>(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 the number of output tiles along the x and y direction of size "output_tile_size"
const Size2D num_tiles = compute_winograd_convolution_tiles(Size2D(input_dimensions.width, input_dimensions.height),
kernel_size,
output_tile_size,
conv_info);
const int num_tiles_x = num_tiles.width;
const int num_tiles_y = num_tiles.height;
ARM_COMPUTE_UNUSED(num_tiles_y);
ARM_COMPUTE_ERROR_ON(in.shape()[1] != static_cast<unsigned int>(num_tiles_x * num_tiles_y));
// If we have a vertical filter (i.e. 1x3, 1x5,..), we still need to take the elements along the x direction (step_y_transf_tile = 1)
const int step_y_transf_tile = kernel_size.width == 1 ? 1 : output_tile.shape()[0];
// Initialize with zeros the input tile
zeros<T>(input_tile, Coordinates(0, 0), input_tile.shape());
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<T>(trans_matrix, input_tile, tmp_tile);
// Second transformation
matrix_multiply<T>(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 * step_y_transf_tile];
// Add bias
out[output_offset + yi * stridey_out + xi] += b[zo];
}
}
}
}
}
}
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 SimpleTensor<float> &b, const TensorShape &output_shape, const WinogradInfo &winograd_info);
template SimpleTensor<half> winograd_filter_transform(const SimpleTensor<half> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info);
template SimpleTensor<half> winograd_input_transform(const SimpleTensor<half> &in, const TensorShape &output_shape, const WinogradInfo &winograd_info);
template SimpleTensor<half> winograd_output_transform(const SimpleTensor<half> &in, const SimpleTensor<half> &b, const TensorShape &output_shape, const WinogradInfo &winograd_info);
} // namespace reference
} // namespace validation
} // namespace test
} // namespace arm_compute