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/*
* Copyright (c) 2020 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.
*/
#ifdef __ARM_FEATURE_FP16_VECTOR_ARITHMETIC
#include "input.hpp"
#include "arm.hpp"
namespace winograd
{
template <>
void InputTransform<4, 4, __fp16, __fp16, WinogradRoots::Integers>::transform_tile(
const int n_channels,
const __fp16* const input_base,
const int input_row_stride,
const int input_col_stride,
__fp16* outptr,
const int matrix_stride
)
{
constexpr int inner_tile_rows = 4, inner_tile_cols = 4;
// Get pointers into the input tile
const __fp16 *x_ptrs[inner_tile_rows][inner_tile_cols];
for (int i = 0, xi = 0; i < inner_tile_rows; i++, xi++)
{
// Get a pointer into the row
const __fp16* const row_ptr = input_base + xi*input_row_stride;
for (int j = 0, xj = 0; j < inner_tile_cols; j++, xj++)
{
x_ptrs[i][j] = row_ptr + xj*input_col_stride;
}
}
// Matrices used/computed in this kernel.
__fp16 x[inner_tile_rows][inner_tile_cols];
__fp16 XTx[inner_tile_rows][inner_tile_cols];
__fp16 U[inner_tile_rows][inner_tile_cols];
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = XTx[i][j] = 0.0f;
}
}
// Perform the Winograd input transformation for each channel in the input
// tensor.
int channels_remaining = n_channels;
#ifdef __aarch64__
for (; channels_remaining >= 8; channels_remaining -= 8)
{
// Matrices used/computed in this kernel.
float16x8_t x[inner_tile_rows][inner_tile_cols];
float16x8_t XTx[inner_tile_rows][inner_tile_cols];
float16x8_t U[inner_tile_rows][inner_tile_cols];
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = vdupq_n_f16(0.0f);
XTx[i][j] = vdupq_n_f16(0.0f);
}
}
// Load x
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = vld1q_f16(x_ptrs[i][j]);
x_ptrs[i][j] += 8;
}
}
// Compute XT . x
for (int j = 0; j < inner_tile_cols; j++)
{
// XTx[0][j] = x[0][j] - x[2][j];
XTx[0][j] = vsubq_f16(x[0][j], x[2][j]);
// XTx[1][j] = x[1][j] + x[2][j];
XTx[1][j] = vaddq_f16(x[1][j], x[2][j]);
// XTx[2][j] = x[2][j] - x[1][j];
XTx[2][j] = vsubq_f16(x[2][j], x[1][j]);
// XTx[3][j] = x[1][j] - x[3][j];
XTx[3][j] = vsubq_f16(x[1][j], x[3][j]);
}
// Compute U = XT . x . X
for (int i = 0; i < inner_tile_rows; i++)
{
// U[i][0] = XTx[i][0] - XTx[i][2];
U[i][0] = vsubq_f16(XTx[i][0], XTx[i][2]);
// U[i][1] = XTx[i][1] + XTx[i][2];
U[i][1] = vaddq_f16(XTx[i][1], XTx[i][2]);
// U[i][2] = XTx[i][2] - XTx[i][1];
U[i][2] = vsubq_f16(XTx[i][2], XTx[i][1]);
// U[i][3] = XTx[i][1] - XTx[i][3];
U[i][3] = vsubq_f16(XTx[i][1], XTx[i][3]);
}
// Store the transformed matrix
for (int i = 0, m = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++, m++)
{
vst1q_f16(outptr + m*matrix_stride, U[i][j]);
}
}
outptr += 8;
}
#endif // __aarch64__
#ifdef __arm_any__
for (; channels_remaining >= 4; channels_remaining -= 4)
{
// Matrices used/computed in this kernel.
float16x4_t x[inner_tile_rows][inner_tile_cols];
float16x4_t XTx[inner_tile_rows][inner_tile_cols];
float16x4_t U[inner_tile_rows][inner_tile_cols];
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = vdup_n_f16(0.0f);
XTx[i][j] = vdup_n_f16(0.0f);
}
}
// Load x
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = vld1_f16(x_ptrs[i][j]);
x_ptrs[i][j] += 4;
}
}
// Compute XT . x
for (int j = 0; j < inner_tile_cols; j++)
{
// XTx[0][j] = x[0][j] - x[2][j];
XTx[0][j] = vsub_f16(x[0][j], x[2][j]);
// XTx[1][j] = x[1][j] + x[2][j];
XTx[1][j] = vadd_f16(x[1][j], x[2][j]);
// XTx[2][j] = x[2][j] - x[1][j];
XTx[2][j] = vsub_f16(x[2][j], x[1][j]);
// XTx[3][j] = x[1][j] - x[3][j];
XTx[3][j] = vsub_f16(x[1][j], x[3][j]);
}
// Compute U = XT . x . X
for (int i = 0; i < inner_tile_rows; i++)
{
// U[i][0] = XTx[i][0] - XTx[i][2];
U[i][0] = vsub_f16(XTx[i][0], XTx[i][2]);
// U[i][1] = XTx[i][1] + XTx[i][2];
U[i][1] = vadd_f16(XTx[i][1], XTx[i][2]);
// U[i][2] = XTx[i][2] - XTx[i][1];
U[i][2] = vsub_f16(XTx[i][2], XTx[i][1]);
// U[i][3] = XTx[i][1] - XTx[i][3];
U[i][3] = vsub_f16(XTx[i][1], XTx[i][3]);
}
// Store the transformed matrix
for (int i = 0, m = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++, m++)
{
vst1_f16(outptr + m*matrix_stride, U[i][j]);
}
}
outptr += 4;
}
#endif // __arm_any__
for (; channels_remaining; channels_remaining--)
{
// Load x
for (int i = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++)
{
x[i][j] = *(x_ptrs[i][j]++);
}
}
// Compute XT . x
for (int j = 0; j < inner_tile_cols; j++)
{
XTx[0][j] = x[0][j] - x[2][j];
XTx[1][j] = x[1][j] + x[2][j];
XTx[2][j] = x[2][j] - x[1][j];
XTx[3][j] = x[1][j] - x[3][j];
}
// Compute U = XT . x . X
for (int i = 0; i < inner_tile_rows; i++)
{
U[i][0] = XTx[i][0] - XTx[i][2];
U[i][1] = XTx[i][1] + XTx[i][2];
U[i][2] = XTx[i][2] - XTx[i][1];
U[i][3] = XTx[i][1] - XTx[i][3];
}
// Store the transformed matrix
for (int i = 0, m = 0; i < inner_tile_rows; i++)
{
for (int j = 0; j < inner_tile_cols; j++, m++)
{
*(outptr + m*matrix_stride) = U[i][j];
}
}
outptr++;
}
}
template class InputTransform<4, 4, __fp16, __fp16, WinogradRoots::Integers>;
} // namespace
#endif // __ARM_FEATURE_FP16_VECTOR_ARITHMETIC