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/*
* Copyright (c) 2017 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 "arm_compute/core/NEON/kernels/convolution/winograd/transforms/input.hpp"
#include "arm_compute/core/NEON/kernels/convolution/winograd/winograd_gemm.hpp"
#include "arm_compute/core/NEON/kernels/convolution/common/arm.hpp"
namespace winograd
{
using Transform = WinogradGEMM<2, 2, 5, 5>::InputTransform<float>;
template <>
template <>
int Transform::ops_performed(const Tensor4DShape &input_shape)
{
(void) input_shape;
return 0; // TODO
}
/*****************************************************************************
* F(2x2, 5x5) implies the use of a 6x6 input tile.
*
* Build an array of the specialised methods that deal with each of the
* different padding combinations which may be required. These padding
* constraints are the space:
*
* Padding top in {0, 2}
* Padding left in {0, 2}
* Padding bottom in {0, 1, 2, 3, 4}
* Padding right in {0, 1, 2, 3, 4}
*/
template <>
template <>
template <int pad_top, int pad_left, int pad_bottom, int pad_right>
void Transform::process_tile(
int n_channels,
const float* const input_base,
const int input_row_stride,
const int input_col_stride,
float* const matrix_base,
const int matrix_stride
)
{
constexpr int cells_i = 6 - pad_bottom;
constexpr int cells_j = 6 - pad_right;
float *outptr = matrix_base;
// Get pointers into the input tile
const float *x_ptrs[6][6];
for (int i = pad_top, xi = 0; i < cells_i; i++, xi++)
{
// Get a pointer into the row
const float* const row_ptr = input_base + xi*input_row_stride;
for (int j = pad_left, xj = 0; j < cells_j; j++, xj++)
{
x_ptrs[i][j] = row_ptr + xj*input_col_stride;
}
}
// Matrices used/computed in this kernel.
float x[6][6], XTx[6][6], U[6][6];
for (int i = 0; i < 6; i++)
{
for (int j = 0; j < 6; 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 >= 4; channels_remaining -= 4)
{
// Matrices used/computed in this kernel
float32x4_t x[6][6], XTx[6][6], U[6][6];
for (int i = 0; i < 6; i++)
{
for (int j = 0; j < 6; j++)
{
x[i][j] = vdupq_n_f32(0.0f);
XTx[i][j] = vdupq_n_f32(0.0f);
}
}
// Read a 6x6 tile in the Winograd domain
for (int i = pad_top; i < cells_i; i++)
{
for (int j = pad_left; j < cells_j; j++)
{
x[i][j] = vld1q_f32(x_ptrs[i][j]);
x_ptrs[i][j] += 4;
}
}
// Compute XT . x
for (int j = pad_left; j < cells_j; j++)
{
// XTx[0][j] = 4*x[0][j] + -5*x[2][j] + 1*x[4][j];
XTx[0][j] = vmlsq_n_f32(vmlaq_n_f32(x[4][j], x[0][j], 4.0f), x[2][j], 5.0f);
// XTx[1][j] = -4*x[1][j] + -4*x[2][j] + 1*x[3][j] + 1*x[4][j];
XTx[1][j] = vmlsq_n_f32(vaddq_f32(x[3][j], x[4][j]), vaddq_f32(x[1][j], x[2][j]), 4.0f);
// XTx[2][j] = 4*x[1][j] + -4*x[2][j] + -1*x[3][j] + 1*x[4][j];
XTx[2][j] = vmlaq_n_f32(vsubq_f32(x[4][j], x[3][j]), vsubq_f32(x[1][j], x[2][j]), 4.0f);
// XTx[3][j] = -2*x[1][j] + -1*x[2][j] + 2*x[3][j] + 1*x[4][j];
XTx[3][j] = vmlaq_n_f32(vsubq_f32(x[4][j], x[2][j]), vsubq_f32(x[3][j], x[1][j]), 2.0f);
// XTx[4][j] = 2*x[1][j] + -1*x[2][j] + -2*x[3][j] + 1*x[4][j];
XTx[4][j] = vmlaq_n_f32(vsubq_f32(x[4][j], x[2][j]), vsubq_f32(x[1][j], x[3][j]), 2.0f);
// XTx[5][j] = 4*x[1][j] + -5*x[3][j] + 1*x[5][j];
XTx[5][j] = vmlsq_n_f32(vmlaq_n_f32(x[5][j], x[1][j], 4.0f), x[3][j], 5.0f);
}
// Compute U = XT . x . X
for (int i = 0; i < 6; i++)
{
// U[i][0] = 4*XTx[i][0] + -5*XTx[i][2] + 1*XTx[i][4];
U[i][0] = vmlsq_n_f32(vmlaq_n_f32(XTx[i][4], XTx[i][0], 4.0f), XTx[i][2], 5.0f);
// U[i][1] = -4*XTx[i][1] + -4*XTx[i][2] + 1*XTx[i][3] + 1*XTx[i][4];
U[i][1] = vmlsq_n_f32(vaddq_f32(XTx[i][3], XTx[i][4]), vaddq_f32(XTx[i][1], XTx[i][2]), 4.0f);
// U[i][2] = 4*XTx[i][1] + -4*XTx[i][2] + -1*XTx[i][3] + 1*XTx[i][4];
U[i][2] = vmlaq_n_f32(vsubq_f32(XTx[i][4], XTx[i][3]), vsubq_f32(XTx[i][1], XTx[i][2]), 4.0f);
// U[i][3] = -2*XTx[i][1] + -1*XTx[i][2] + 2*XTx[i][3] + 1*XTx[i][4];
U[i][3] = vmlaq_n_f32(vsubq_f32(XTx[i][4], XTx[i][2]), vsubq_f32(XTx[i][3], XTx[i][1]), 2.0f);
// U[i][4] = 2*XTx[i][1] + -1*XTx[i][2] + -2*XTx[i][3] + 1*XTx[i][4];
U[i][4] = vmlaq_n_f32(vsubq_f32(XTx[i][4], XTx[i][2]), vsubq_f32(XTx[i][1], XTx[i][3]), 2.0f);
// U[i][5] = 4*XTx[i][1] + -5*XTx[i][3] + 1*XTx[i][5];
U[i][5] = vmlsq_n_f32(vmlaq_n_f32(XTx[i][5], XTx[i][1], 4.0f), XTx[i][3], 5.0f);
}
// Store the transformed matrix
for (int i = 0, m = 0; i < 6; i++)
{
for (int j = 0; j < 6; j++, m++)
{
vst1q_f32(outptr + m*matrix_stride, U[i][j]);
}
}
outptr += 4;
}
#endif // __aarch64__
#ifdef __arm_any__
for (; channels_remaining >= 2; channels_remaining -= 2)
{
// Matrices used/computed in this kernel
float32x2_t x[6][6], XTx[6][6], U[6][6];
for (int i = 0; i < 6; i++)
{
for (int j = 0; j < 6; j++)
{
x[i][j] = vdup_n_f32(0.0f);
XTx[i][j] = vdup_n_f32(0.0f);
}
}
// Read a 6x6 tile in the Winograd domain
for (int i = pad_top; i < cells_i; i++)
{
for (int j = pad_left; j < cells_j; j++)
{
x[i][j] = vld1_f32(x_ptrs[i][j]);
x_ptrs[i][j] += 2;
}
}
// Compute XT . x
for (int j = pad_left; j < cells_j; j++)
{
// XTx[0][j] = 4*x[0][j] + -5*x[2][j] + 1*x[4][j];
XTx[0][j] = vmls_n_f32(vmla_n_f32(x[4][j], x[0][j], 4.0f), x[2][j], 5.0f);
// XTx[1][j] = -4*x[1][j] + -4*x[2][j] + 1*x[3][j] + 1*x[4][j];
XTx[1][j] = vmls_n_f32(vadd_f32(x[3][j], x[4][j]), vadd_f32(x[1][j], x[2][j]), 4.0f);
// XTx[2][j] = 4*x[1][j] + -4*x[2][j] + -1*x[3][j] + 1*x[4][j];
XTx[2][j] = vmla_n_f32(vsub_f32(x[4][j], x[3][j]), vsub_f32(x[1][j], x[2][j]), 4.0f);
// XTx[3][j] = -2*x[1][j] + -1*x[2][j] + 2*x[3][j] + 1*x[4][j];
XTx[3][j] = vmla_n_f32(vsub_f32(x[4][j], x[2][j]), vsub_f32(x[3][j], x[1][j]), 2.0f);
// XTx[4][j] = 2*x[1][j] + -1*x[2][j] + -2*x[3][j] + 1*x[4][j];
XTx[4][j] = vmla_n_f32(vsub_f32(x[4][j], x[2][j]), vsub_f32(x[1][j], x[3][j]), 2.0f);
// XTx[5][j] = 4*x[1][j] + -5*x[3][j] + 1*x[5][j];
XTx[5][j] = vmls_n_f32(vmla_n_f32(x[5][j], x[1][j], 4.0f), x[3][j], 5.0f);
}
// Compute U = XT . x . X
for (int i = 0; i < 6; i++)
{
// U[i][0] = 4*XTx[i][0] + -5*XTx[i][2] + 1*XTx[i][4];
U[i][0] = vmls_n_f32(vmla_n_f32(XTx[i][4], XTx[i][0], 4.0f), XTx[i][2], 5.0f);
// U[i][1] = -4*XTx[i][1] + -4*XTx[i][2] + 1*XTx[i][3] + 1*XTx[i][4];
U[i][1] = vmls_n_f32(vadd_f32(XTx[i][3], XTx[i][4]), vadd_f32(XTx[i][1], XTx[i][2]), 4.0f);
// U[i][2] = 4*XTx[i][1] + -4*XTx[i][2] + -1*XTx[i][3] + 1*XTx[i][4];
U[i][2] = vmla_n_f32(vsub_f32(XTx[i][4], XTx[i][3]), vsub_f32(XTx[i][1], XTx[i][2]), 4.0f);
// U[i][3] = -2*XTx[i][1] + -1*XTx[i][2] + 2*XTx[i][3] + 1*XTx[i][4];
U[i][3] = vmla_n_f32(vsub_f32(XTx[i][4], XTx[i][2]), vsub_f32(XTx[i][3], XTx[i][1]), 2.0f);
// U[i][4] = 2*XTx[i][1] + -1*XTx[i][2] + -2*XTx[i][3] + 1*XTx[i][4];
U[i][4] = vmla_n_f32(vsub_f32(XTx[i][4], XTx[i][2]), vsub_f32(XTx[i][1], XTx[i][3]), 2.0f);
// U[i][5] = 4*XTx[i][1] + -5*XTx[i][3] + 1*XTx[i][5];
U[i][5] = vmls_n_f32(vmla_n_f32(XTx[i][5], XTx[i][1], 4.0f), XTx[i][3], 5.0f);
}
// Store the transformed matrix
for (int i = 0, m = 0; i < 6; i++)
{
for (int j = 0; j < 6; j++, m++)
{
vst1_f32(outptr + m*matrix_stride, U[i][j]);
}
}
outptr += 2;
}
#endif // __arm_any__
for (; channels_remaining; channels_remaining--)
{
// Load x
for (int i = pad_top; i < cells_i; i++)
{
for (int j = pad_left; j < cells_j; j++)
{
x[i][j] = *(x_ptrs[i][j]++);
}
}
// Compute XT . x
for (int j = pad_left; j < cells_j; j++)
{
XTx[0][j] = 4*x[0][j] + -5*x[2][j] + 1*x[4][j];
XTx[1][j] = -4*x[1][j] + -4*x[2][j] + 1*x[3][j] + 1*x[4][j];
XTx[2][j] = 4*x[1][j] + -4*x[2][j] + -1*x[3][j] + 1*x[4][j];
XTx[3][j] = -2*x[1][j] + -1*x[2][j] + 2*x[3][j] + 1*x[4][j];
XTx[4][j] = 2*x[1][j] + -1*x[2][j] + -2*x[3][j] + 1*x[4][j];
XTx[5][j] = 4*x[1][j] + -5*x[3][j] + 1*x[5][j];
}
// Compute U = XT . x . X
for (int i = 0; i < 6; i++)
{
U[i][0] = 4*XTx[i][0] + -5*XTx[i][2] + 1*XTx[i][4];
U[i][1] = -4*XTx[i][1] + -4*XTx[i][2] + 1*XTx[i][3] + 1*XTx[i][4];
U[i][2] = 4*XTx[i][1] + -4*XTx[i][2] + -1*XTx[i][3] + 1*XTx[i][4];
U[i][3] = -2*XTx[i][1] + -1*XTx[i][2] + 2*XTx[i][3] + 1*XTx[i][4];
U[i][4] = 2*XTx[i][1] + -1*XTx[i][2] + -2*XTx[i][3] + 1*XTx[i][4];
U[i][5] = 4*XTx[i][1] + -5*XTx[i][3] + 1*XTx[i][5];
}
// Store the transformed matrix
for (int i = 0, m = 0; i < 6; i++)
{
for (int j = 0; j < 6; j++, m++)
{
*(outptr + m*matrix_stride) = U[i][j];
}
}
outptr++;
}
}
template <>
template <>
const Transform::TileFn Transform::tile_fns[n_pad_top][n_pad_left][n_pad_bottom][n_pad_right] =
{
{
{
{
Transform::template process_tile<0, 0, 0, 0>, // No padding
Transform::template process_tile<0, 0, 0, 1>, // Right
Transform::template process_tile<0, 0, 0, 2>, // " "
Transform::template process_tile<0, 0, 0, 3>, // " "
Transform::template process_tile<0, 0, 0, 4>, // " "
},
{
Transform::template process_tile<0, 0, 1, 0>, // Bottom
Transform::template process_tile<0, 0, 1, 1>, // Bottom right
Transform::template process_tile<0, 0, 1, 2>, // " "
Transform::template process_tile<0, 0, 1, 3>, // " "
Transform::template process_tile<0, 0, 1, 4>, // " "
},
{
Transform::template process_tile<0, 0, 2, 0>, // Bottom
Transform::template process_tile<0, 0, 2, 1>, // Bottom right
Transform::template process_tile<0, 0, 2, 2>, // " "
Transform::template process_tile<0, 0, 2, 3>, // " "
Transform::template process_tile<0, 0, 2, 4>, // " "
},
{
Transform::template process_tile<0, 0, 3, 0>, // Bottom
Transform::template process_tile<0, 0, 3, 1>, // Bottom right
Transform::template process_tile<0, 0, 3, 2>, // " "
Transform::template process_tile<0, 0, 3, 3>, // " "
Transform::template process_tile<0, 0, 3, 4>, // " "
},
{
Transform::template process_tile<0, 0, 4, 0>, // Bottom
Transform::template process_tile<0, 0, 4, 1>, // Bottom right
Transform::template process_tile<0, 0, 4, 2>, // " "
Transform::template process_tile<0, 0, 4, 3>, // " "
Transform::template process_tile<0, 0, 4, 4>, // " "
}
},
{
{
Transform::template process_tile<0, 2, 0, 0>, // Left
Transform::template process_tile<0, 2, 0, 1>,
Transform::template process_tile<0, 2, 0, 2>,
Transform::template process_tile<0, 2, 0, 3>,
Transform::template process_tile<0, 2, 0, 4>,
},
{
Transform::template process_tile<0, 2, 1, 0>, // Bottom left
Transform::template process_tile<0, 2, 1, 1>,
Transform::template process_tile<0, 2, 1, 2>,
Transform::template process_tile<0, 2, 1, 3>,
Transform::template process_tile<0, 2, 1, 4>,
},
{
Transform::template process_tile<0, 2, 2, 0>, // " "
Transform::template process_tile<0, 2, 2, 1>,
Transform::template process_tile<0, 2, 2, 2>,
Transform::template process_tile<0, 2, 2, 3>,
Transform::template process_tile<0, 2, 2, 4>,
},
{
Transform::template process_tile<0, 2, 3, 0>, // " "
Transform::template process_tile<0, 2, 3, 1>,
Transform::template process_tile<0, 2, 3, 2>,
Transform::template process_tile<0, 2, 3, 3>,
Transform::template process_tile<0, 2, 3, 4>,
},
{
Transform::template process_tile<0, 2, 4, 0>, // " "
Transform::template process_tile<0, 2, 4, 1>,
Transform::template process_tile<0, 2, 4, 2>,
Transform::template process_tile<0, 2, 4, 3>,
Transform::template process_tile<0, 2, 4, 4>,
}
}
},
{
{
{
Transform::template process_tile<2, 0, 0, 0>, // Top
Transform::template process_tile<2, 0, 0, 1>, // Top right
Transform::template process_tile<2, 0, 0, 2>, // " "
Transform::template process_tile<2, 0, 0, 3>, // " "
Transform::template process_tile<2, 0, 0, 4>, // " "
},
{
Transform::template process_tile<2, 0, 1, 0>,
Transform::template process_tile<2, 0, 1, 1>,
Transform::template process_tile<2, 0, 1, 2>,
Transform::template process_tile<2, 0, 1, 3>,
Transform::template process_tile<2, 0, 1, 4>,
},
{
Transform::template process_tile<2, 0, 2, 0>,
Transform::template process_tile<2, 0, 2, 1>,
Transform::template process_tile<2, 0, 2, 2>,
Transform::template process_tile<2, 0, 2, 3>,
Transform::template process_tile<2, 0, 2, 4>,
},
{
Transform::template process_tile<2, 0, 3, 0>,
Transform::template process_tile<2, 0, 3, 1>,
Transform::template process_tile<2, 0, 3, 2>,
Transform::template process_tile<2, 0, 3, 3>,
Transform::template process_tile<2, 0, 3, 4>,
},
{
Transform::template process_tile<2, 0, 4, 0>,
Transform::template process_tile<2, 0, 4, 1>,
Transform::template process_tile<2, 0, 4, 2>,
Transform::template process_tile<2, 0, 4, 3>,
Transform::template process_tile<2, 0, 4, 4>,
},
},
{
{
Transform::template process_tile<2, 2, 0, 0>, // Top left
Transform::template process_tile<2, 2, 0, 1>,
Transform::template process_tile<2, 2, 0, 2>,
Transform::template process_tile<2, 2, 0, 3>,
Transform::template process_tile<2, 2, 0, 4>,
},
{
Transform::template process_tile<2, 2, 1, 0>,
Transform::template process_tile<2, 2, 1, 1>,
Transform::template process_tile<2, 2, 1, 2>,
Transform::template process_tile<2, 2, 1, 3>,
Transform::template process_tile<2, 2, 1, 4>,
},
{
Transform::template process_tile<2, 2, 2, 0>,
Transform::template process_tile<2, 2, 2, 1>,
Transform::template process_tile<2, 2, 2, 2>,
Transform::template process_tile<2, 2, 2, 3>,
Transform::template process_tile<2, 2, 2, 4>,
},
{
Transform::template process_tile<2, 2, 3, 0>,
Transform::template process_tile<2, 2, 3, 1>,
Transform::template process_tile<2, 2, 3, 2>,
Transform::template process_tile<2, 2, 3, 3>,
Transform::template process_tile<2, 2, 3, 4>,
},
{
Transform::template process_tile<2, 2, 4, 0>,
Transform::template process_tile<2, 2, 4, 1>,
Transform::template process_tile<2, 2, 4, 2>,
Transform::template process_tile<2, 2, 4, 3>,
Transform::template process_tile<2, 2, 4, 4>,
}
}
}
};
template struct WinogradGEMM<2, 2, 5, 5>::InputTransform<float>;
} // namespace winograd