From a50e5e034a1b9fbce066639cbebcd457a6259ef9 Mon Sep 17 00:00:00 2001 From: Giorgio Arena Date: Mon, 2 Jul 2018 13:42:23 +0100 Subject: COMPMID-1338 Split winograd.cl Change-Id: I583227fc1a38b1a34de253e383d71cca66007f18 Reviewed-on: https://eu-gerrit-1.euhpc.arm.com/138273 Tested-by: Jenkins Reviewed-by: Gian Marco Iodice --- .../CL/cl_kernels/winograd_filter_transform.cl | 1155 ++++++++++++++++++++ 1 file changed, 1155 insertions(+) create mode 100644 src/core/CL/cl_kernels/winograd_filter_transform.cl (limited to 'src/core/CL/cl_kernels/winograd_filter_transform.cl') diff --git a/src/core/CL/cl_kernels/winograd_filter_transform.cl b/src/core/CL/cl_kernels/winograd_filter_transform.cl new file mode 100644 index 0000000000..1ee6981a07 --- /dev/null +++ b/src/core/CL/cl_kernels/winograd_filter_transform.cl @@ -0,0 +1,1155 @@ +/* + * 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 "helpers.h" + +#if defined(SRC_DIM_Z) + +/** This OpenCL kernel performs Winograd filter transform 3x3/3x1/1x3 when the data layout is NCHW and the output tile is 2x2/2x1/1x2 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note If this kernel is used to perform Winograd filter transform 3x1, -DWINOGRAD_FILTER_TRANSFORM_HORIZONTAL has to be passed at compile time + * @note If this kernel is used to perform Winograd filter transform 1x3, -DWINOGRAD_FILTER_TRANSFORM_VERTICAL has to be passed at compile time + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_2x2_3x3_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + Tensor4D src = CONVERT_TO_TENSOR4D_STRUCT(src, SRC_DIM_Z); + + const __global uchar *src_addr = tensor4D_offset(&src, 0, 0, 0, 0); + + // Load the values from the input tensor +#if defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) + float3 w0 = vload3(0, (__global float *)(src_addr)); +#elif defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + float3 w0 = (float3)(*((__global float *)(src_addr + 0 * src_stride_y)), + *((__global float *)(src_addr + 1 * src_stride_y)), + *((__global float *)(src_addr + 2 * src_stride_y))); +#else // defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + float3 w0 = vload3(0, (__global float *)(src_addr + 0 * src_stride_y)); + float3 w1 = vload3(0, (__global float *)(src_addr + 1 * src_stride_y)); + float3 w2 = vload3(0, (__global float *)(src_addr + 2 * src_stride_y)); +#endif // defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) + + // Row 0 + float4 out0 = 0.0f; + out0.s0 = (w0.s0); + out0.s1 = (w0.s0 + w0.s1 + w0.s2) * 0.5f; + out0.s2 = (w0.s0 + w0.s2 - w0.s1) * 0.5f; + out0.s3 = (w0.s2); + +#if !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + // Row 1 + float4 out1 = 0.0f; + out1.s0 = (w0.s0 + w1.s0 + w2.s0) * 0.5f; + out1.s1 = (w0.s0 + w1.s0 + w2.s0 + w0.s1 + w1.s1 + w2.s1 + w0.s2 + w1.s2 + w2.s2) * 0.25f; + out1.s2 = (w0.s0 + w1.s0 + w2.s0 + w0.s2 + w1.s2 + w2.s2 - w0.s1 - w1.s1 - w2.s1) * 0.25f; + out1.s3 = (w0.s2 + w1.s2 + w2.s2) * 0.5f; + + // Row 2 + float4 out2 = 0.0f; + out2.s0 = (w0.s0 + w2.s0 - w1.s0) * 0.5f; + out2.s1 = (w0.s0 + w2.s0 + w0.s1 + w2.s1 + w0.s2 + w2.s2 - w1.s0 - w1.s1 - w1.s2) * 0.25f; + out2.s2 = (w0.s0 + w2.s0 + w1.s1 + w0.s2 + w2.s2 - w1.s0 - w0.s1 - w2.s1 - w1.s2) * 0.25f; + out2.s3 = (w0.s2 + w2.s2 - w1.s2) * 0.5f; + + // Row 3 + float4 out3 = 0.0f; + out3.s0 = (w2.s0); + out3.s1 = (w2.s0 + w2.s1 + w2.s2) * 0.5f; + out3.s2 = (w2.s0 + w2.s2 - w2.s1) * 0.5f; + out3.s3 = (w2.s2); +#endif // !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + + int z = get_global_id(2); + int x0 = z / SRC_DIM_Z; // idx filter + int y0 = z % SRC_DIM_Z; // idx channel + + // Get output address + __global uchar *dst_addr = dst_ptr + dst_offset_first_element_in_bytes + x0 * dst_stride_x + y0 * dst_stride_y; + + // Store the values across the channels + // 16 channels for 3x3 kernels + // 4 channels for 3x1 or 1x3 kernels + *(__global float *)(dst_addr + 0 * dst_stride_z) = out0.s0; + *(__global float *)(dst_addr + 1 * dst_stride_z) = out0.s1; + *(__global float *)(dst_addr + 2 * dst_stride_z) = out0.s2; + *(__global float *)(dst_addr + 3 * dst_stride_z) = out0.s3; + +#if !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + *(__global float *)(dst_addr + 4 * dst_stride_z) = out1.s0; + *(__global float *)(dst_addr + 5 * dst_stride_z) = out1.s1; + *(__global float *)(dst_addr + 6 * dst_stride_z) = out1.s2; + *(__global float *)(dst_addr + 7 * dst_stride_z) = out1.s3; + *(__global float *)(dst_addr + 8 * dst_stride_z) = out2.s0; + *(__global float *)(dst_addr + 9 * dst_stride_z) = out2.s1; + *(__global float *)(dst_addr + 10 * dst_stride_z) = out2.s2; + *(__global float *)(dst_addr + 11 * dst_stride_z) = out2.s3; + *(__global float *)(dst_addr + 12 * dst_stride_z) = out3.s0; + *(__global float *)(dst_addr + 13 * dst_stride_z) = out3.s1; + *(__global float *)(dst_addr + 14 * dst_stride_z) = out3.s2; + *(__global float *)(dst_addr + 15 * dst_stride_z) = out3.s3; +#endif // !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) +} + +/** This OpenCL kernel performs Winograd filter transform 3x3/3x1/1x3 when the data layout is NCHW and the output tile is 4x4/4x1/1x4 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note If this kernel is used to perform Winograd filter transform 3x1, -DWINOGRAD_FILTER_TRANSFORM_HORIZONTAL has to be passed at compile time + * @note If this kernel is used to perform Winograd filter transform 1x3, -DWINOGRAD_FILTER_TRANSFORM_VERTICAL has to be passed at compile time + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_4x4_3x3_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + Tensor4D src = CONVERT_TO_TENSOR4D_STRUCT(src, SRC_DIM_Z); + + const __global uchar *src_addr = tensor4D_offset(&src, 0, 0, 0, 0); + + // Load the values from the input tensor +#if defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) + float3 w0 = vload3(0, (__global float *)(src_addr)); +#elif defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + float3 w0 = (float3)(*((__global float *)(src_addr + 0 * src_stride_y)), + *((__global float *)(src_addr + 1 * src_stride_y)), + *((__global float *)(src_addr + 2 * src_stride_y))); +#else // defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + float3 w0 = vload3(0, (__global float *)(src_addr + 0 * src_stride_y)); + float3 w1 = vload3(0, (__global float *)(src_addr + 1 * src_stride_y)); + float3 w2 = vload3(0, (__global float *)(src_addr + 2 * src_stride_y)); +#endif // defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) + + // Row 0 + float8 out0 = 0.0f; + out0.s0 = (w0.s0) / 16.f; + out0.s1 = (-w0.s0 - w0.s1 - w0.s2) / 24.f; + out0.s2 = (-w0.s0 + w0.s1 - w0.s2) / 24.f; + out0.s3 = (w0.s0 + 2.f * w0.s1 + 4.f * w0.s2) / 96.f; + out0.s4 = (w0.s0 - 2.f * w0.s1 + 4.f * w0.s2) / 96.f; + out0.s5 = (w0.s2) / 4.f; + +#if !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + // Row 1 + float8 out1 = 0.0f; + out1.s0 = (-w0.s0 - w1.s0 - w2.s0) / 24.f; + out1.s1 = (w0.s0 + w1.s0 + w2.s0 + w0.s1 + w1.s1 + w2.s1 + w0.s2 + w1.s2 + w2.s2) / 36.f; + out1.s2 = (w0.s0 + w1.s0 + w2.s0 - w0.s1 - w1.s1 - w2.s1 + w0.s2 + w1.s2 + w2.s2) / 36.f; + out1.s3 = (-w0.s0 - w1.s0 - w2.s0 + 2.f * (-w0.s1 - w1.s1 - w2.s1) + 4.f * (-w0.s2 - w1.s2 - w2.s2)) / 144.f; + out1.s4 = (-w0.s0 - w1.s0 - w2.s0 + 2.f * (w0.s1 + w1.s1 + w2.s1) + 4.f * (-w0.s2 - w1.s2 - w2.s2)) / 144.f; + out1.s5 = (-w0.s2 - w1.s2 - w2.s2) / 6.f; + + // Row 2 + float8 out2 = 0.0f; + out2.s0 = (-w0.s0 + w1.s0 - w2.s0) / 24.f; + out2.s1 = (w0.s0 - w1.s0 + w2.s0 + w0.s1 - w1.s1 + w2.s1 + w0.s2 - w1.s2 + w2.s2) / 36.f; + out2.s2 = (w0.s0 - w1.s0 + w2.s0 - w0.s1 + w1.s1 - w2.s1 + w0.s2 - w1.s2 + w2.s2) / 36.f; + out2.s3 = (-w0.s0 + w1.s0 - w2.s0 + 2.f * (-w0.s1 + w1.s1 - w2.s1) + 4.f * (-w0.s2 + w1.s2 - w2.s2)) / 144.f; + out2.s4 = (-w0.s0 + w1.s0 - w2.s0 + 2.f * (w0.s1 - w1.s1 + w2.s1) + 4.f * (-w0.s2 + w1.s2 - w2.s2)) / 144.f; + out2.s5 = (-w0.s2 + w1.s2 - w2.s2) / 6.f; + + // Row 3 + float8 out3 = 0.0f; + out3.s0 = (w0.s0 + 2.f * w1.s0 + 4.f * w2.s0) / 96.f; + out3.s1 = (-w0.s0 - 2.f * w1.s0 - 4.f * w2.s0 - w0.s1 - 2.f * w1.s1 - 4.f * w2.s1 - w0.s2 - 2.f * w1.s2 - 4.f * w2.s2) / 144.f; + out3.s2 = (-w0.s0 - 2.f * w1.s0 - 4.f * w2.s0 + w0.s1 + 2.f * w1.s1 + 4.f * w2.s1 - w0.s2 - 2.f * w1.s2 - 4.f * w2.s2) / 144.f; + out3.s3 = ((w0.s0 + 2.f * w1.s0 + 4.f * w2.s0) + 2.f * (w0.s1 + 2.f * w1.s1 + 4.f * w2.s1) + 4.f * (w0.s2 + 2.f * w1.s2 + 4.f * w2.s2)) / 576.f; + out3.s4 = ((w0.s0 + 2.f * w1.s0 + 4.f * w2.s0) + 2.f * (-w0.s1 - 2.f * w1.s1 - 4.f * w2.s1) + 4.f * (w0.s2 + 2.f * w1.s2 + 4.f * w2.s2)) / 576.f; + out3.s5 = (w0.s2 + 2.f * w1.s2 + 4.f * w2.s2) / 24.f; + + // Row 4 + float8 out4 = 0.0f; + out4.s0 = (w0.s0 - 2.f * w1.s0 + 4.f * w2.s0) / 96.f; + out4.s1 = (-w0.s0 + 2.f * w1.s0 - 4.f * w2.s0 - w0.s1 + 2.f * w1.s1 - 4.f * w2.s1 - w0.s2 + 2.f * w1.s2 - 4.f * w2.s2) / 144.f; + out4.s2 = (-w0.s0 + 2.f * w1.s0 - 4.f * w2.s0 + w0.s1 - 2.f * w1.s1 + 4.f * w2.s1 - w0.s2 + 2.f * w1.s2 - 4.f * w2.s2) / 144.f; + out4.s3 = ((w0.s0 - 2.f * w1.s0 + 4.f * w2.s0) + 2.f * (w0.s1 - 2.f * w1.s1 + 4.f * w2.s1) + 4.f * (w0.s2 - 2.f * w1.s2 + 4.f * w2.s2)) / 576.f; + out4.s4 = ((w0.s0 - 2.f * w1.s0 + 4.f * w2.s0) + 2.f * (-w0.s1 + 2.f * w1.s1 - 4.f * w2.s1) + 4.f * (w0.s2 - 2.f * w1.s2 + 4.f * w2.s2)) / 576.f; + out4.s5 = (w0.s2 - 2.f * w1.s2 + 4.f * w2.s2) / 24.f; + + // Row 5 + float8 out5 = 0.0f; + out5.s0 = (w2.s0) / 4.f; + out5.s1 = (-w2.s0 - w2.s1 - w2.s2) / 6.f; + out5.s2 = (-w2.s0 + w2.s1 - w2.s2) / 6.f; + out5.s3 = (w2.s0 + 2.f * w2.s1 + 4.f * w2.s2) / 24.f; + out5.s4 = (w2.s0 - 2.f * w2.s1 + 4.f * w2.s2) / 24.f; + out5.s5 = (w2.s2); +#endif // !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + + int z = get_global_id(2); + int x0 = z / SRC_DIM_Z; // idx filter + int y0 = z % SRC_DIM_Z; // idx channel + + // Get output address + __global uchar *dst_addr = dst_ptr + dst_offset_first_element_in_bytes + x0 * dst_stride_x + y0 * dst_stride_y; + + // Store the values across the channels + // 36 channels for 3x3 kernels + // 6 channels for 3x1 or 1x3 kernels + *(__global float *)(dst_addr + 0 * dst_stride_z) = out0.s0; + *(__global float *)(dst_addr + 1 * dst_stride_z) = out0.s1; + *(__global float *)(dst_addr + 2 * dst_stride_z) = out0.s2; + *(__global float *)(dst_addr + 3 * dst_stride_z) = out0.s3; + *(__global float *)(dst_addr + 4 * dst_stride_z) = out0.s4; + *(__global float *)(dst_addr + 5 * dst_stride_z) = out0.s5; + +#if !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + *(__global float *)(dst_addr + 6 * dst_stride_z) = out1.s0; + *(__global float *)(dst_addr + 7 * dst_stride_z) = out1.s1; + *(__global float *)(dst_addr + 8 * dst_stride_z) = out1.s2; + *(__global float *)(dst_addr + 9 * dst_stride_z) = out1.s3; + *(__global float *)(dst_addr + 10 * dst_stride_z) = out1.s4; + *(__global float *)(dst_addr + 11 * dst_stride_z) = out1.s5; + *(__global float *)(dst_addr + 12 * dst_stride_z) = out2.s0; + *(__global float *)(dst_addr + 13 * dst_stride_z) = out2.s1; + *(__global float *)(dst_addr + 14 * dst_stride_z) = out2.s2; + *(__global float *)(dst_addr + 15 * dst_stride_z) = out2.s3; + *(__global float *)(dst_addr + 16 * dst_stride_z) = out2.s4; + *(__global float *)(dst_addr + 17 * dst_stride_z) = out2.s5; + *(__global float *)(dst_addr + 18 * dst_stride_z) = out3.s0; + *(__global float *)(dst_addr + 19 * dst_stride_z) = out3.s1; + *(__global float *)(dst_addr + 20 * dst_stride_z) = out3.s2; + *(__global float *)(dst_addr + 21 * dst_stride_z) = out3.s3; + *(__global float *)(dst_addr + 22 * dst_stride_z) = out3.s4; + *(__global float *)(dst_addr + 23 * dst_stride_z) = out3.s5; + *(__global float *)(dst_addr + 24 * dst_stride_z) = out4.s0; + *(__global float *)(dst_addr + 25 * dst_stride_z) = out4.s1; + *(__global float *)(dst_addr + 26 * dst_stride_z) = out4.s2; + *(__global float *)(dst_addr + 27 * dst_stride_z) = out4.s3; + *(__global float *)(dst_addr + 28 * dst_stride_z) = out4.s4; + *(__global float *)(dst_addr + 29 * dst_stride_z) = out4.s5; + *(__global float *)(dst_addr + 30 * dst_stride_z) = out5.s0; + *(__global float *)(dst_addr + 31 * dst_stride_z) = out5.s1; + *(__global float *)(dst_addr + 32 * dst_stride_z) = out5.s2; + *(__global float *)(dst_addr + 33 * dst_stride_z) = out5.s3; + *(__global float *)(dst_addr + 34 * dst_stride_z) = out5.s4; + *(__global float *)(dst_addr + 35 * dst_stride_z) = out5.s5; +#endif // !defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) && !defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) +} + +#if defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) +/** This OpenCL kernel performs Winograd filter transform 3x1 when the data layout is NCHW and the output tile is 2x1 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note -DWINOGRAD_FILTER_TRANSFORM_HORIZONTAL has to be passed at compile time to perform Winograd Filter Transform + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_2x1_3x1_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + winograd_filter_transform_2x2_3x3_nchw(src_ptr, + src_stride_x, + src_step_x, + src_stride_y, + src_step_y, + src_stride_z, + src_step_z, + src_stride_w, + src_step_w, + src_offset_first_element_in_bytes, + dst_ptr, + dst_stride_x, + dst_step_x, + dst_stride_y, + dst_step_y, + dst_stride_z, + dst_step_z, + dst_offset_first_element_in_bytes); +} + +/** This OpenCL kernel performs Winograd filter transform 3x1 when the data layout is NCHW and the output tile is 4x1 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note -DWINOGRAD_FILTER_TRANSFORM_HORIZONTAL has to be passed at compile time to perform Winograd Filter Transform + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_4x1_3x1_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + winograd_filter_transform_4x4_3x3_nchw(src_ptr, + src_stride_x, + src_step_x, + src_stride_y, + src_step_y, + src_stride_z, + src_step_z, + src_stride_w, + src_step_w, + src_offset_first_element_in_bytes, + dst_ptr, + dst_stride_x, + dst_step_x, + dst_stride_y, + dst_step_y, + dst_stride_z, + dst_step_z, + dst_offset_first_element_in_bytes); +} +#endif // defined(WINOGRAD_FILTER_TRANSFORM_HORIZONTAL) + +#if defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) +/** This OpenCL kernel performs Winograd filter transform 1x3 when the data layout is NCHW and the output tile is 1x2 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note -DWINOGRAD_FILTER_TRANSFORM_VERTICAL has to be passed at compile time to perform Winograd Filter Transform + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_1x2_1x3_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + winograd_filter_transform_2x2_3x3_nchw(src_ptr, + src_stride_x, + src_step_x, + src_stride_y, + src_step_y, + src_stride_z, + src_step_z, + src_stride_w, + src_step_w, + src_offset_first_element_in_bytes, + dst_ptr, + dst_stride_x, + dst_step_x, + dst_stride_y, + dst_step_y, + dst_stride_z, + dst_step_z, + dst_offset_first_element_in_bytes); +} + +/** This OpenCL kernel performs Winograd filter transform 1x3 when the data layout is NCHW and the output tile is 1x4 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * @note -DWINOGRAD_FILTER_TRANSFORM_VERTICAL has to be passed at compile time to perform Winograd Filter Transform + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_1x4_1x3_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + winograd_filter_transform_4x4_3x3_nchw(src_ptr, + src_stride_x, + src_step_x, + src_stride_y, + src_step_y, + src_stride_z, + src_step_z, + src_stride_w, + src_step_w, + src_offset_first_element_in_bytes, + dst_ptr, + dst_stride_x, + dst_step_x, + dst_stride_y, + dst_step_y, + dst_stride_z, + dst_step_z, + dst_offset_first_element_in_bytes); +} +#endif // defined(WINOGRAD_FILTER_TRANSFORM_VERTICAL) + +/** This OpenCL kernel performs Winograd filter transform 3x3 when the data layout is NHWC and the output tile is 4x4 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_4x4_3x3_nhwc( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + Tensor4D src = CONVERT_TO_TENSOR4D_STRUCT(src, SRC_DIM_Z); + + const __global uchar *src_addr = src_ptr + src_offset_first_element_in_bytes + get_global_id(0) * src_step_x + get_global_id(1) * src_step_y + get_global_id(2) * src_step_w; + + // Load the values from the input tensor + float w00 = *((__global float *)(src_addr + 0 * src_stride_z + 0 * src_stride_y)); + float w01 = *((__global float *)(src_addr + 0 * src_stride_z + 1 * src_stride_y)); + float w02 = *((__global float *)(src_addr + 0 * src_stride_z + 2 * src_stride_y)); + float w10 = *((__global float *)(src_addr + 1 * src_stride_z + 0 * src_stride_y)); + float w11 = *((__global float *)(src_addr + 1 * src_stride_z + 1 * src_stride_y)); + float w12 = *((__global float *)(src_addr + 1 * src_stride_z + 2 * src_stride_y)); + float w20 = *((__global float *)(src_addr + 2 * src_stride_z + 0 * src_stride_y)); + float w21 = *((__global float *)(src_addr + 2 * src_stride_z + 1 * src_stride_y)); + float w22 = *((__global float *)(src_addr + 2 * src_stride_z + 2 * src_stride_y)); + + // Transform the 3x3 tile in a 6x6 tile + float out00, out01, out02, out03, out04, out05; + float out10, out11, out12, out13, out14, out15; + float out20, out21, out22, out23, out24, out25; + float out30, out31, out32, out33, out34, out35; + float out40, out41, out42, out43, out44, out45; + float out50, out51, out52, out53, out54, out55; + + out00 = out01 = out02 = out03 = out04 = out05 = 0.f; + out10 = out11 = out12 = out13 = out14 = out15 = 0.f; + out20 = out21 = out22 = out23 = out24 = out25 = 0.f; + out30 = out31 = out32 = out33 = out34 = out35 = 0.f; + out40 = out41 = out42 = out43 = out44 = out45 = 0.f; + out50 = out51 = out52 = out53 = out54 = out55 = 0.f; + + // Row 0 + out00 = (w00) / 16.f; + out01 = (-w00 - w01 - w02) / 24.f; + out02 = (-w00 + w01 - w02) / 24.f; + out03 = (w00 + 2.f * w01 + 4.f * w02) / 96.f; + out04 = (w00 - 2.f * w01 + 4.f * w02) / 96.f; + out05 = (w02) / 4.f; + + // Row 1 + out10 = (-w00 - w10 - w20) / 24.f; + out11 = (w00 + w10 + w20 + w01 + w11 + w21 + w02 + w12 + w22) / 36.f; + out12 = (w00 + w10 + w20 - w01 - w11 - w21 + w02 + w12 + w22) / 36.f; + out13 = (-w00 - w10 - w20 + 2.f * (-w01 - w11 - w21) + 4.f * (-w02 - w12 - w22)) / 144.f; + out14 = (-w00 - w10 - w20 + 2.f * (w01 + w11 + w21) + 4.f * (-w02 - w12 - w22)) / 144.f; + out15 = (-w02 - w12 - w22) / 6.f; + + // Row 2 + out20 = (-w00 + w10 - w20) / 24.f; + out21 = (w00 - w10 + w20 + w01 - w11 + w21 + w02 - w12 + w22) / 36.f; + out22 = (w00 - w10 + w20 - w01 + w11 - w21 + w02 - w12 + w22) / 36.f; + out23 = (-w00 + w10 - w20 + 2.f * (-w01 + w11 - w21) + 4.f * (-w02 + w12 - w22)) / 144.f; + out24 = (-w00 + w10 - w20 + 2.f * (w01 - w11 + w21) + 4.f * (-w02 + w12 - w22)) / 144.f; + out25 = (-w02 + w12 - w22) / 6.f; + + // Row 3 + out30 = (w00 + 2.f * w10 + 4.f * w20) / 96.f; + out31 = (-w00 - 2.f * w10 - 4.f * w20 - w01 - 2.f * w11 - 4.f * w21 - w02 - 2.f * w12 - 4.f * w22) / 144.f; + out32 = (-w00 - 2.f * w10 - 4.f * w20 + w01 + 2.f * w11 + 4.f * w21 - w02 - 2.f * w12 - 4.f * w22) / 144.f; + out33 = ((w00 + 2.f * w10 + 4.f * w20) + 2.f * (w01 + 2.f * w11 + 4.f * w21) + 4.f * (w02 + 2.f * w12 + 4.f * w22)) / 576.f; + out34 = ((w00 + 2.f * w10 + 4.f * w20) + 2.f * (-w01 - 2.f * w11 - 4.f * w21) + 4.f * (w02 + 2.f * w12 + 4.f * w22)) / 576.f; + out35 = (w02 + 2.f * w12 + 4.f * w22) / 24.f; + + // Row 4 + out40 = (w00 - 2.f * w10 + 4.f * w20) / 96.f; + out41 = (-w00 + 2.f * w10 - 4.f * w20 - w01 + 2.f * w11 - 4.f * w21 - w02 + 2.f * w12 - 4.f * w22) / 144.f; + out42 = (-w00 + 2.f * w10 - 4.f * w20 + w01 - 2.f * w11 + 4.f * w21 - w02 + 2.f * w12 - 4.f * w22) / 144.f; + out43 = ((w00 - 2.f * w10 + 4.f * w20) + 2.f * (w01 - 2.f * w11 + 4.f * w21) + 4.f * (w02 - 2.f * w12 + 4.f * w22)) / 576.f; + out44 = ((w00 - 2.f * w10 + 4.f * w20) + 2.f * (-w01 + 2.f * w11 - 4.f * w21) + 4.f * (w02 - 2.f * w12 + 4.f * w22)) / 576.f; + out45 = (w02 - 2.f * w12 + 4.f * w22) / 24.f; + + // Row 5 + out50 = (w20) / 4.f; + out51 = (-w20 - w21 - w22) / 6.f; + out52 = (-w20 + w21 - w22) / 6.f; + out53 = (w20 + 2.f * w21 + 4.f * w22) / 24.f; + out54 = (w20 - 2.f * w21 + 4.f * w22) / 24.f; + out55 = (w22); + + int x0 = get_global_id(2); // idx filter + int y0 = get_global_id(0); // idx channel + + // Get output address + __global uchar *dst_addr = dst_ptr + dst_offset_first_element_in_bytes + x0 * dst_stride_x + y0 * dst_stride_y; + + // Store the values across the channels + *(__global float *)(dst_addr + 0 * dst_stride_z) = out00; + *(__global float *)(dst_addr + 1 * dst_stride_z) = out01; + *(__global float *)(dst_addr + 2 * dst_stride_z) = out02; + *(__global float *)(dst_addr + 3 * dst_stride_z) = out03; + *(__global float *)(dst_addr + 4 * dst_stride_z) = out04; + *(__global float *)(dst_addr + 5 * dst_stride_z) = out05; + *(__global float *)(dst_addr + 6 * dst_stride_z) = out10; + *(__global float *)(dst_addr + 7 * dst_stride_z) = out11; + *(__global float *)(dst_addr + 8 * dst_stride_z) = out12; + *(__global float *)(dst_addr + 9 * dst_stride_z) = out13; + *(__global float *)(dst_addr + 10 * dst_stride_z) = out14; + *(__global float *)(dst_addr + 11 * dst_stride_z) = out15; + *(__global float *)(dst_addr + 12 * dst_stride_z) = out20; + *(__global float *)(dst_addr + 13 * dst_stride_z) = out21; + *(__global float *)(dst_addr + 14 * dst_stride_z) = out22; + *(__global float *)(dst_addr + 15 * dst_stride_z) = out23; + *(__global float *)(dst_addr + 16 * dst_stride_z) = out24; + *(__global float *)(dst_addr + 17 * dst_stride_z) = out25; + *(__global float *)(dst_addr + 18 * dst_stride_z) = out30; + *(__global float *)(dst_addr + 19 * dst_stride_z) = out31; + *(__global float *)(dst_addr + 20 * dst_stride_z) = out32; + *(__global float *)(dst_addr + 21 * dst_stride_z) = out33; + *(__global float *)(dst_addr + 22 * dst_stride_z) = out34; + *(__global float *)(dst_addr + 23 * dst_stride_z) = out35; + *(__global float *)(dst_addr + 24 * dst_stride_z) = out40; + *(__global float *)(dst_addr + 25 * dst_stride_z) = out41; + *(__global float *)(dst_addr + 26 * dst_stride_z) = out42; + *(__global float *)(dst_addr + 27 * dst_stride_z) = out43; + *(__global float *)(dst_addr + 28 * dst_stride_z) = out44; + *(__global float *)(dst_addr + 29 * dst_stride_z) = out45; + *(__global float *)(dst_addr + 30 * dst_stride_z) = out50; + *(__global float *)(dst_addr + 31 * dst_stride_z) = out51; + *(__global float *)(dst_addr + 32 * dst_stride_z) = out52; + *(__global float *)(dst_addr + 33 * dst_stride_z) = out53; + *(__global float *)(dst_addr + 34 * dst_stride_z) = out54; + *(__global float *)(dst_addr + 35 * dst_stride_z) = out55; +} +/** This OpenCL kernel performs Winograd filter transform 5x5 when the data layout is NCHW and the output tile is 4x4 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_4x4_5x5_nchw( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + Tensor4D src = CONVERT_TO_TENSOR4D_STRUCT(src, SRC_DIM_Z); + + const __global uchar *src_addr = tensor4D_offset(&src, 0, 0, 0, 0); + + // Load the values from the input tensor + const char stride_x = 4 * sizeof(float); // Used for accessing the last value in each row + const uchar8 stride_y = (uchar8)(0, 1, 2, 3, 4, 0, 0, 0) * (uchar8)src_stride_y; + + float4 w00 = vload4(0, (__global float *)(src_addr + stride_y.s0)); + float w01 = *((__global float *)(src_addr + stride_y.s0 + stride_x)); + float4 w10 = vload4(0, (__global float *)(src_addr + stride_y.s1)); + float w11 = *((__global float *)(src_addr + stride_y.s1 + stride_x)); + float4 w20 = vload4(0, (__global float *)(src_addr + stride_y.s2)); + float w21 = *((__global float *)(src_addr + stride_y.s2 + stride_x)); + float4 w30 = vload4(0, (__global float *)(src_addr + stride_y.s3)); + float w31 = *((__global float *)(src_addr + stride_y.s3 + stride_x)); + float4 w40 = vload4(0, (__global float *)(src_addr + stride_y.s4)); + float w41 = *((__global float *)(src_addr + stride_y.s4 + stride_x)); + + // Transform the 3x3 tile in a 8x8 tile + float8 out0 = 0.0f; + float8 out1 = 0.0f; + float8 out2 = 0.0f; + float8 out3 = 0.0f; + float8 out4 = 0.0f; + float8 out5 = 0.0f; + float8 out6 = 0.0f; + float8 out7 = 0.0f; + + // Row 0 + out0.s0 = w00.s0; + out0.s1 = -2.f * (w00.s0 + w00.s1 + w00.s2 + w00.s3 + w01) / 9.f; + out0.s2 = -2.f * (w00.s0 - w00.s1 + w00.s2 - w00.s3 + w01) / 9.f; + out0.s3 = (w00.s0 + 2.f * w00.s1 + 4.f * w00.s2 + 8.f * w00.s3 + 16.f * w01) / 90.f; + out0.s4 = (w00.s0 - 2.f * w00.s1 + 4.f * w00.s2 - 8.f * w00.s3 + 16.f * w01) / 90.f; + out0.s5 = (16.f * w00.s0 + 8.f * w00.s1 + 4.f * w00.s2 + 2.f * w00.s3 + w01) / 180.f; + out0.s6 = (16.f * w00.s0 - 8.f * w00.s1 + 4.f * w00.s2 - 2.f * w00.s3 + w01) / 180.f; + out0.s7 = w01; + + // Row 1 + out1.s0 = -2.f * (w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) / 9.f; + out1.s1 = 4.f * ((w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) + (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) + + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + (w01 + w11 + w21 + w31 + w41)) / 81.f; + out1.s2 = 4.f * ((w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) - (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) - + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + (w01 + w11 + w21 + w31 + w41)) / 81.f; + out1.s3 = -((w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) + 2.f * (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + 4.f * (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) + 8.f * + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + 16.f * (w01 + w11 + w21 + w31 + w41)) / 405.f; + out1.s4 = -((w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) - 2.f * (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + 4.f * (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) - 8.f * + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + 16.f * (w01 + w11 + w21 + w31 + w41)) / 405.f; + out1.s5 = -(16.f * (w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) + 8.f * (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + 4.f * (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) + 2.f * + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + (w01 + w11 + w21 + w31 + w41)) / 810.f; + out1.s6 = -(16.f * (w00.s0 + w10.s0 + w20.s0 + w30.s0 + w40.s0) - 8.f * (w00.s1 + w10.s1 + w20.s1 + w30.s1 + w40.s1) + 4.f * (w00.s2 + w10.s2 + w20.s2 + w30.s2 + w40.s2) - 2.f * + (w00.s3 + w10.s3 + w20.s3 + w30.s3 + w40.s3) + (w01 + w11 + w21 + w31 + w41)) / 810.f; + out1.s7 = -2.f * (w01 + w11 + w21 + w31 + w41) / 9.f; + + // Row 2 + out2.s0 = -2.f * (w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) / 9.f; + out2.s1 = 4.f * ((w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) + (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) + + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + (w01 - w11 + w21 - w31 + w41)) / 81.f; + out2.s2 = 4.f * ((w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) - (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) - + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + (w01 - w11 + w21 - w31 + w41)) / 81.f; + out2.s3 = -((w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) + 2.f * (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + 4.f * (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) + 8.f * + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + 16.f * (w01 - w11 + w21 - w31 + w41)) / 405.f; + out2.s4 = -((w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) - 2.f * (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + 4.f * (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) - 8.f * + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + 16.f * (w01 - w11 + w21 - w31 + w41)) / 405.f; + out2.s5 = -(16.f * (w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) + 8.f * (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + 4.f * (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) + 2.f * + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + (w01 - w11 + w21 - w31 + w41)) / 810.f; + out2.s6 = -(16.f * (w00.s0 - w10.s0 + w20.s0 - w30.s0 + w40.s0) - 8.f * (w00.s1 - w10.s1 + w20.s1 - w30.s1 + w40.s1) + 4.f * (w00.s2 - w10.s2 + w20.s2 - w30.s2 + w40.s2) - 2.f * + (w00.s3 - w10.s3 + w20.s3 - w30.s3 + w40.s3) + (w01 - w11 + w21 - w31 + w41)) / 810.f; + out2.s7 = -2.f * (w01 - w11 + w21 - w31 + w41) / 9.f; + + // Row 3 + out3.s0 = (w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) / 90.f; + out3.s1 = -((w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) + (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) + (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 405.f; + out3.s2 = -((w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) - (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) - (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 405.f; + out3.s3 = ((w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) + 2.f * (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) + 8.f * (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + 16.f * + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 8100.f; + out3.s4 = ((w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) - 2.f * (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) - 8.f * (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + 16.f * + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 8100.f; + out3.s5 = (16.f * (w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) + 8.f * (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) + 2.f * (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 16200.f; + out3.s6 = (16.f * (w00.s0 + 2.f * w10.s0 + 4.f * w20.s0 + 8.f * w30.s0 + 16.f * w40.s0) - 8.f * (w00.s1 + 2.f * w10.s1 + 4.f * w20.s1 + 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 + 2.f * w10.s2 + 4.f * w20.s2 + 8.f * w30.s2 + 16.f * w40.s2) - 2.f * (w00.s3 + 2.f * w10.s3 + 4.f * w20.s3 + 8.f * w30.s3 + 16.f * w40.s3) + + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41)) / 16200.f; + out3.s7 = (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) / 90.f; + + // Row 4 + out4.s0 = (w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) / 90.f; + out4.s1 = -((w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) + (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) + (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 405.f; + out4.s2 = -((w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) - (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) - (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 405.f; + out4.s3 = ((w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) + 2.f * (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) + 8.f * (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + 16.f * + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 8100.f; + out4.s4 = ((w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) - 2.f * (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) - 8.f * (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + 16.f * + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 8100.f; + out4.s5 = (16.f * (w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) + 8.f * (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) + 2.f * (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 16200.f; + out4.s6 = (16.f * (w00.s0 - 2.f * w10.s0 + 4.f * w20.s0 - 8.f * w30.s0 + 16.f * w40.s0) - 8.f * (w00.s1 - 2.f * w10.s1 + 4.f * w20.s1 - 8.f * w30.s1 + 16.f * w40.s1) + 4.f * + (w00.s2 - 2.f * w10.s2 + 4.f * w20.s2 - 8.f * w30.s2 + 16.f * w40.s2) - 2.f * (w00.s3 - 2.f * w10.s3 + 4.f * w20.s3 - 8.f * w30.s3 + 16.f * w40.s3) + + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41)) / 16200.f; + out4.s7 = (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) / 90.f; + + // Row 5 + out5.s0 = (16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) / 180.f; + out5.s1 = -((16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) + (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) + (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 810.f; + out5.s2 = -((16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) - (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) - (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 810.f; + out5.s3 = ((16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) + 2.f * (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) + 8.f * (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + 16.f * + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 16200.f; + out5.s4 = ((16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) - 2.f * (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) - 8.f * (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + 16.f * + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 16200.f; + out5.s5 = (16.f * (16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) + 8.f * (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) + 2.f * (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 32400.f; + out5.s6 = (16.f * (16.f * w00.s0 + 8.f * w10.s0 + 4.f * w20.s0 + 2.f * w30.s0 + w40.s0) - 8.f * (16.f * w00.s1 + 8.f * w10.s1 + 4.f * w20.s1 + 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 + 8.f * w10.s2 + 4.f * w20.s2 + 2.f * w30.s2 + w40.s2) - 2.f * (16.f * w00.s3 + 8.f * w10.s3 + 4.f * w20.s3 + 2.f * w30.s3 + w40.s3) + + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41)) / 32400.f; + out5.s7 = (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) / 180.f; + + // Row 6 + out6.s0 = (16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) / 180.f; + out6.s1 = -((16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) + (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) + (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 810.f; + out6.s2 = -((16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) - (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) - (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 810.f; + out6.s3 = ((16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) + 2.f * (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) + 8.f * (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + 16.f * + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 16200.f; + out6.s4 = ((16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) - 2.f * (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) - 8.f * (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + 16.f * + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 16200.f; + out6.s5 = (16.f * (16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) + 8.f * (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) + 2.f * (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 32400.f; + out6.s6 = (16.f * (16.f * w00.s0 - 8.f * w10.s0 + 4.f * w20.s0 - 2.f * w30.s0 + w40.s0) - 8.f * (16.f * w00.s1 - 8.f * w10.s1 + 4.f * w20.s1 - 2.f * w30.s1 + w40.s1) + 4.f * + (16.f * w00.s2 - 8.f * w10.s2 + 4.f * w20.s2 - 2.f * w30.s2 + w40.s2) - 2.f * (16.f * w00.s3 - 8.f * w10.s3 + 4.f * w20.s3 - 2.f * w30.s3 + w40.s3) + + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41)) / 32400.f; + out6.s7 = (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) / 180.f; + + // Row 7 + out7.s0 = w40.s0; + out7.s1 = -2.f * (w40.s0 + w40.s1 + w40.s2 + w40.s3 + w41) / 9.f; + out7.s2 = -2.f * (w40.s0 - w40.s1 + w40.s2 - w40.s3 + w41) / 9.f; + out7.s3 = (w40.s0 + 2.f * w40.s1 + 4.f * w40.s2 + 8.f * w40.s3 + 16.f * w41) / 90.f; + out7.s4 = (w40.s0 - 2.f * w40.s1 + 4.f * w40.s2 - 8.f * w40.s3 + 16.f * w41) / 90.f; + out7.s5 = (16.f * w40.s0 + 8.f * w40.s1 + 4.f * w40.s2 + 2.f * w40.s3 + w41) / 180.f; + out7.s6 = (16.f * w40.s0 - 8.f * w40.s1 + 4.f * w40.s2 - 2.f * w40.s3 + w41) / 180.f; + out7.s7 = w41; + + int z = get_global_id(2); + int x0 = z / SRC_DIM_Z; // idx filter + int y0 = z % SRC_DIM_Z; // idx channel + + // Get output address + __global uchar *dst_addr = dst_ptr + dst_offset_first_element_in_bytes + x0 * dst_stride_x + y0 * dst_stride_y; + + // Store the 64 values across the 64 channels + *(__global float *)(dst_addr + 0 * dst_stride_z) = out0.s0; + *(__global float *)(dst_addr + 1 * dst_stride_z) = out0.s1; + *(__global float *)(dst_addr + 2 * dst_stride_z) = out0.s2; + *(__global float *)(dst_addr + 3 * dst_stride_z) = out0.s3; + *(__global float *)(dst_addr + 4 * dst_stride_z) = out0.s4; + *(__global float *)(dst_addr + 5 * dst_stride_z) = out0.s5; + *(__global float *)(dst_addr + 6 * dst_stride_z) = out0.s6; + *(__global float *)(dst_addr + 7 * dst_stride_z) = out0.s7; + *(__global float *)(dst_addr + 8 * dst_stride_z) = out1.s0; + *(__global float *)(dst_addr + 9 * dst_stride_z) = out1.s1; + *(__global float *)(dst_addr + 10 * dst_stride_z) = out1.s2; + *(__global float *)(dst_addr + 11 * dst_stride_z) = out1.s3; + *(__global float *)(dst_addr + 12 * dst_stride_z) = out1.s4; + *(__global float *)(dst_addr + 13 * dst_stride_z) = out1.s5; + *(__global float *)(dst_addr + 14 * dst_stride_z) = out1.s6; + *(__global float *)(dst_addr + 15 * dst_stride_z) = out1.s7; + *(__global float *)(dst_addr + 16 * dst_stride_z) = out2.s0; + *(__global float *)(dst_addr + 17 * dst_stride_z) = out2.s1; + *(__global float *)(dst_addr + 18 * dst_stride_z) = out2.s2; + *(__global float *)(dst_addr + 19 * dst_stride_z) = out2.s3; + *(__global float *)(dst_addr + 20 * dst_stride_z) = out2.s4; + *(__global float *)(dst_addr + 21 * dst_stride_z) = out2.s5; + *(__global float *)(dst_addr + 22 * dst_stride_z) = out2.s6; + *(__global float *)(dst_addr + 23 * dst_stride_z) = out2.s7; + *(__global float *)(dst_addr + 24 * dst_stride_z) = out3.s0; + *(__global float *)(dst_addr + 25 * dst_stride_z) = out3.s1; + *(__global float *)(dst_addr + 26 * dst_stride_z) = out3.s2; + *(__global float *)(dst_addr + 27 * dst_stride_z) = out3.s3; + *(__global float *)(dst_addr + 28 * dst_stride_z) = out3.s4; + *(__global float *)(dst_addr + 29 * dst_stride_z) = out3.s5; + *(__global float *)(dst_addr + 30 * dst_stride_z) = out3.s6; + *(__global float *)(dst_addr + 31 * dst_stride_z) = out3.s7; + *(__global float *)(dst_addr + 32 * dst_stride_z) = out4.s0; + *(__global float *)(dst_addr + 33 * dst_stride_z) = out4.s1; + *(__global float *)(dst_addr + 34 * dst_stride_z) = out4.s2; + *(__global float *)(dst_addr + 35 * dst_stride_z) = out4.s3; + *(__global float *)(dst_addr + 36 * dst_stride_z) = out4.s4; + *(__global float *)(dst_addr + 37 * dst_stride_z) = out4.s5; + *(__global float *)(dst_addr + 38 * dst_stride_z) = out4.s6; + *(__global float *)(dst_addr + 39 * dst_stride_z) = out4.s7; + *(__global float *)(dst_addr + 40 * dst_stride_z) = out5.s0; + *(__global float *)(dst_addr + 41 * dst_stride_z) = out5.s1; + *(__global float *)(dst_addr + 42 * dst_stride_z) = out5.s2; + *(__global float *)(dst_addr + 43 * dst_stride_z) = out5.s3; + *(__global float *)(dst_addr + 44 * dst_stride_z) = out5.s4; + *(__global float *)(dst_addr + 45 * dst_stride_z) = out5.s5; + *(__global float *)(dst_addr + 46 * dst_stride_z) = out5.s6; + *(__global float *)(dst_addr + 47 * dst_stride_z) = out5.s7; + *(__global float *)(dst_addr + 48 * dst_stride_z) = out6.s0; + *(__global float *)(dst_addr + 49 * dst_stride_z) = out6.s1; + *(__global float *)(dst_addr + 50 * dst_stride_z) = out6.s2; + *(__global float *)(dst_addr + 51 * dst_stride_z) = out6.s3; + *(__global float *)(dst_addr + 52 * dst_stride_z) = out6.s4; + *(__global float *)(dst_addr + 53 * dst_stride_z) = out6.s5; + *(__global float *)(dst_addr + 54 * dst_stride_z) = out6.s6; + *(__global float *)(dst_addr + 55 * dst_stride_z) = out6.s7; + *(__global float *)(dst_addr + 56 * dst_stride_z) = out7.s0; + *(__global float *)(dst_addr + 57 * dst_stride_z) = out7.s1; + *(__global float *)(dst_addr + 58 * dst_stride_z) = out7.s2; + *(__global float *)(dst_addr + 59 * dst_stride_z) = out7.s3; + *(__global float *)(dst_addr + 60 * dst_stride_z) = out7.s4; + *(__global float *)(dst_addr + 61 * dst_stride_z) = out7.s5; + *(__global float *)(dst_addr + 62 * dst_stride_z) = out7.s6; + *(__global float *)(dst_addr + 63 * dst_stride_z) = out7.s7; +} + +/** This OpenCL kernel performs Winograd filter transform 5x5 when the data layout is NHWC and the output tile is 4x4 + * + * @note In order to correctly split the input tensor in batches, its dimension across the Z axis (channels for NCHW, height for NHWC) must be passed at compile time using -DSRC_DIM_Z: e.g. -DSRC_DIM_Z=64 + * + * @param[in] src_ptr Pointer to the source tensor. Supported data types: F32 + * @param[in] src_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in] src_step_x src_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] src_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in] src_step_y src_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] src_stride_w Stride of the source tensor in W dimension (in bytes) + * @param[in] src_step_w src_stride_w * number of elements along W processed per workitem(in bytes) + * @param[in] src_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] dst_ptr Pointer to the destination tensor. Supported data types: same as @p src_ptr + * @param[in] dst_stride_x Stride of the destination tensor in X dimension (in bytes) + * @param[in] dst_step_x dst_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] dst_stride_y Stride of the destination tensor in Y dimension (in bytes) + * @param[in] dst_step_y dst_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] src_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in] src_step_z src_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] dst_offset_first_element_in_bytes The offset of the first element in the destination tensor + */ +__kernel void winograd_filter_transform_4x4_5x5_nhwc( + TENSOR4D_DECLARATION(src), + TENSOR3D_DECLARATION(dst)) +{ + Tensor4D src = CONVERT_TO_TENSOR4D_STRUCT(src, SRC_DIM_Z); + + const __global uchar *src_addr = src_ptr + src_offset_first_element_in_bytes + get_global_id(0) * sizeof(float) + get_global_id(1) * src_step_y + get_global_id(2) * src_step_w; + + // Load the values from the input tensor + float w00 = *((__global float *)(src_addr + 0 * src_stride_z + 0 * src_stride_y)); + float w01 = *((__global float *)(src_addr + 0 * src_stride_z + 1 * src_stride_y)); + float w02 = *((__global float *)(src_addr + 0 * src_stride_z + 2 * src_stride_y)); + float w03 = *((__global float *)(src_addr + 0 * src_stride_z + 3 * src_stride_y)); + float w04 = *((__global float *)(src_addr + 0 * src_stride_z + 4 * src_stride_y)); + float w10 = *((__global float *)(src_addr + 1 * src_stride_z + 0 * src_stride_y)); + float w11 = *((__global float *)(src_addr + 1 * src_stride_z + 1 * src_stride_y)); + float w12 = *((__global float *)(src_addr + 1 * src_stride_z + 2 * src_stride_y)); + float w13 = *((__global float *)(src_addr + 1 * src_stride_z + 3 * src_stride_y)); + float w14 = *((__global float *)(src_addr + 1 * src_stride_z + 4 * src_stride_y)); + float w20 = *((__global float *)(src_addr + 2 * src_stride_z + 0 * src_stride_y)); + float w21 = *((__global float *)(src_addr + 2 * src_stride_z + 1 * src_stride_y)); + float w22 = *((__global float *)(src_addr + 2 * src_stride_z + 2 * src_stride_y)); + float w23 = *((__global float *)(src_addr + 2 * src_stride_z + 3 * src_stride_y)); + float w24 = *((__global float *)(src_addr + 2 * src_stride_z + 4 * src_stride_y)); + float w30 = *((__global float *)(src_addr + 3 * src_stride_z + 0 * src_stride_y)); + float w31 = *((__global float *)(src_addr + 3 * src_stride_z + 1 * src_stride_y)); + float w32 = *((__global float *)(src_addr + 3 * src_stride_z + 2 * src_stride_y)); + float w33 = *((__global float *)(src_addr + 3 * src_stride_z + 3 * src_stride_y)); + float w34 = *((__global float *)(src_addr + 3 * src_stride_z + 4 * src_stride_y)); + float w40 = *((__global float *)(src_addr + 4 * src_stride_z + 0 * src_stride_y)); + float w41 = *((__global float *)(src_addr + 4 * src_stride_z + 1 * src_stride_y)); + float w42 = *((__global float *)(src_addr + 4 * src_stride_z + 2 * src_stride_y)); + float w43 = *((__global float *)(src_addr + 4 * src_stride_z + 3 * src_stride_y)); + float w44 = *((__global float *)(src_addr + 4 * src_stride_z + 4 * src_stride_y)); + + // Transform the 3x3 tile in a 8x8 tile + float8 out0 = 0.0f; + float8 out1 = 0.0f; + float8 out2 = 0.0f; + float8 out3 = 0.0f; + float8 out4 = 0.0f; + float8 out5 = 0.0f; + float8 out6 = 0.0f; + float8 out7 = 0.0f; + + // Row 0 + out0.s0 = w00; + out0.s1 = -2.f * (w00 + w01 + w02 + w03 + w04) / 9.f; + out0.s2 = -2.f * (w00 - w01 + w02 - w03 + w04) / 9.f; + out0.s3 = (w00 + 2.f * w01 + 4.f * w02 + 8.f * w03 + 16.f * w04) / 90.f; + out0.s4 = (w00 - 2.f * w01 + 4.f * w02 - 8.f * w03 + 16.f * w04) / 90.f; + out0.s5 = (16.f * w00 + 8.f * w01 + 4.f * w02 + 2.f * w03 + w04) / 180.f; + out0.s6 = (16.f * w00 - 8.f * w01 + 4.f * w02 - 2.f * w03 + w04) / 180.f; + out0.s7 = w04; + + // Row 1 + out1.s0 = -2.f * (w00 + w10 + w20 + w30 + w40) / 9.f; + out1.s1 = 4.f * ((w00 + w10 + w20 + w30 + w40) + (w01 + w11 + w21 + w31 + w41) + (w02 + w12 + w22 + w32 + w42) + (w03 + w13 + w23 + w33 + w43) + (w04 + w14 + w24 + w34 + w44)) / 81.f; + out1.s2 = 4.f * ((w00 + w10 + w20 + w30 + w40) - (w01 + w11 + w21 + w31 + w41) + (w02 + w12 + w22 + w32 + w42) - (w03 + w13 + w23 + w33 + w43) + (w04 + w14 + w24 + w34 + w44)) / 81.f; + out1.s3 = -((w00 + w10 + w20 + w30 + w40) + 2.f * (w01 + w11 + w21 + w31 + w41) + 4.f * (w02 + w12 + w22 + w32 + w42) + 8.f * (w03 + w13 + w23 + w33 + w43) + 16.f * + (w04 + w14 + w24 + w34 + w44)) / 405.f; + out1.s4 = -((w00 + w10 + w20 + w30 + w40) - 2.f * (w01 + w11 + w21 + w31 + w41) + 4.f * (w02 + w12 + w22 + w32 + w42) - 8.f * (w03 + w13 + w23 + w33 + w43) + 16.f * + (w04 + w14 + w24 + w34 + w44)) / 405.f; + out1.s5 = -(16.f * (w00 + w10 + w20 + w30 + w40) + 8.f * (w01 + w11 + w21 + w31 + w41) + 4.f * (w02 + w12 + w22 + w32 + w42) + 2.f * (w03 + w13 + w23 + w33 + w43) + + (w04 + w14 + w24 + w34 + w44)) / 810.f; + out1.s6 = -(16.f * (w00 + w10 + w20 + w30 + w40) - 8.f * (w01 + w11 + w21 + w31 + w41) + 4.f * (w02 + w12 + w22 + w32 + w42) - 2.f * (w03 + w13 + w23 + w33 + w43) + + (w04 + w14 + w24 + w34 + w44)) / 810.f; + out1.s7 = -2.f * (w04 + w14 + w24 + w34 + w44) / 9.f; + + // Row 2 + out2.s0 = -2.f * (w00 - w10 + w20 - w30 + w40) / 9.f; + out2.s1 = 4.f * ((w00 - w10 + w20 - w30 + w40) + (w01 - w11 + w21 - w31 + w41) + (w02 - w12 + w22 - w32 + w42) + (w03 - w13 + w23 - w33 + w43) + (w04 - w14 + w24 - w34 + w44)) / 81.f; + out2.s2 = 4.f * ((w00 - w10 + w20 - w30 + w40) - (w01 - w11 + w21 - w31 + w41) + (w02 - w12 + w22 - w32 + w42) - (w03 - w13 + w23 - w33 + w43) + (w04 - w14 + w24 - w34 + w44)) / 81.f; + out2.s3 = -((w00 - w10 + w20 - w30 + w40) + 2.f * (w01 - w11 + w21 - w31 + w41) + 4.f * (w02 - w12 + w22 - w32 + w42) + 8.f * (w03 - w13 + w23 - w33 + w43) + 16.f * + (w04 - w14 + w24 - w34 + w44)) / 405.f; + out2.s4 = -((w00 - w10 + w20 - w30 + w40) - 2.f * (w01 - w11 + w21 - w31 + w41) + 4.f * (w02 - w12 + w22 - w32 + w42) - 8.f * (w03 - w13 + w23 - w33 + w43) + 16.f * + (w04 - w14 + w24 - w34 + w44)) / 405.f; + out2.s5 = -(16.f * (w00 - w10 + w20 - w30 + w40) + 8.f * (w01 - w11 + w21 - w31 + w41) + 4.f * (w02 - w12 + w22 - w32 + w42) + 2.f * (w03 - w13 + w23 - w33 + w43) + + (w04 - w14 + w24 - w34 + w44)) / 810.f; + out2.s6 = -(16.f * (w00 - w10 + w20 - w30 + w40) - 8.f * (w01 - w11 + w21 - w31 + w41) + 4.f * (w02 - w12 + w22 - w32 + w42) - 2.f * (w03 - w13 + w23 - w33 + w43) + + (w04 - w14 + w24 - w34 + w44)) / 810.f; + out2.s7 = -2.f * (w04 - w14 + w24 - w34 + w44) / 9.f; + + // Row 3 + out3.s0 = (w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) / 90.f; + out3.s1 = -((w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) + (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) + + (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 405.f; + out3.s2 = -((w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) - (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) - + (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 405.f; + out3.s3 = ((w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) + 2.f * (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + 4.f * (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) + 8.f + * (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + 16.f * (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 8100.f; + out3.s4 = ((w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) - 2.f * (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + 4.f * (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) - 8.f + * (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + 16.f * (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 8100.f; + out3.s5 = (16.f * (w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) + 8.f * (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + 4.f * + (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) + 2.f * (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 16200.f; + out3.s6 = (16.f * (w00 + 2.f * w10 + 4.f * w20 + 8.f * w30 + 16.f * w40) - 8.f * (w01 + 2.f * w11 + 4.f * w21 + 8.f * w31 + 16.f * w41) + 4.f * + (w02 + 2.f * w12 + 4.f * w22 + 8.f * w32 + 16.f * w42) - 2.f * (w03 + 2.f * w13 + 4.f * w23 + 8.f * w33 + 16.f * w43) + (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44)) / 16200.f; + out3.s7 = (w04 + 2.f * w14 + 4.f * w24 + 8.f * w34 + 16.f * w44) / 90.f; + + // Row 4 + out4.s0 = (w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) / 90.f; + out4.s1 = -((w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) + (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) + + (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 405.f; + out4.s2 = -((w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) - (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) - + (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 405.f; + out4.s3 = ((w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) + 2.f * (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + 4.f * (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) + 8.f + * (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + 16.f * (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 8100.f; + out4.s4 = ((w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) - 2.f * (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + 4.f * (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) - 8.f + * (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + 16.f * (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 8100.f; + out4.s5 = (16.f * (w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) + 8.f * (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + 4.f * + (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) + 2.f * (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 16200.f; + out4.s6 = (16.f * (w00 - 2.f * w10 + 4.f * w20 - 8.f * w30 + 16.f * w40) - 8.f * (w01 - 2.f * w11 + 4.f * w21 - 8.f * w31 + 16.f * w41) + 4.f * + (w02 - 2.f * w12 + 4.f * w22 - 8.f * w32 + 16.f * w42) - 2.f * (w03 - 2.f * w13 + 4.f * w23 - 8.f * w33 + 16.f * w43) + (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44)) / 16200.f; + out4.s7 = (w04 - 2.f * w14 + 4.f * w24 - 8.f * w34 + 16.f * w44) / 90.f; + + // Row 5 + out5.s0 = (16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) / 180.f; + out5.s1 = -((16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) + (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) + + (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 810.f; + out5.s2 = -((16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) - (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) - + (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 810.f; + out5.s3 = ((16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) + 2.f * (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + 4.f * (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) + 8.f + * (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + 16.f * (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 16200.f; + out5.s4 = ((16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) - 2.f * (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + 4.f * (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) - 8.f + * (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + 16.f * (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 16200.f; + out5.s5 = (16.f * (16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) + 8.f * (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + 4.f * + (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) + 2.f * (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 32400.f; + out5.s6 = (16.f * (16.f * w00 + 8.f * w10 + 4.f * w20 + 2.f * w30 + w40) - 8.f * (16.f * w01 + 8.f * w11 + 4.f * w21 + 2.f * w31 + w41) + 4.f * + (16.f * w02 + 8.f * w12 + 4.f * w22 + 2.f * w32 + w42) - 2.f * (16.f * w03 + 8.f * w13 + 4.f * w23 + 2.f * w33 + w43) + (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44)) / 32400.f; + out5.s7 = (16.f * w04 + 8.f * w14 + 4.f * w24 + 2.f * w34 + w44) / 180.f; + + // Row 6 + out6.s0 = (16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) / 180.f; + out6.s1 = -((16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) + (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) + + (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 810.f; + out6.s2 = -((16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) - (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) - + (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 810.f; + out6.s3 = ((16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) + 2.f * (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + 4.f * (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) + 8.f + * (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + 16.f * (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 16200.f; + out6.s4 = ((16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) - 2.f * (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + 4.f * (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) - 8.f + * (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + 16.f * (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 16200.f; + out6.s5 = (16.f * (16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) + 8.f * (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + 4.f * + (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) + 2.f * (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 32400.f; + out6.s6 = (16.f * (16.f * w00 - 8.f * w10 + 4.f * w20 - 2.f * w30 + w40) - 8.f * (16.f * w01 - 8.f * w11 + 4.f * w21 - 2.f * w31 + w41) + 4.f * + (16.f * w02 - 8.f * w12 + 4.f * w22 - 2.f * w32 + w42) - 2.f * (16.f * w03 - 8.f * w13 + 4.f * w23 - 2.f * w33 + w43) + (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44)) / 32400.f; + out6.s7 = (16.f * w04 - 8.f * w14 + 4.f * w24 - 2.f * w34 + w44) / 180.f; + + // Row 7 + out7.s0 = w40; + out7.s1 = -2.f * (w40 + w41 + w42 + w43 + w44) / 9.f; + out7.s2 = -2.f * (w40 - w41 + w42 - w43 + w44) / 9.f; + out7.s3 = (w40 + 2.f * w41 + 4.f * w42 + 8.f * w43 + 16.f * w44) / 90.f; + out7.s4 = (w40 - 2.f * w41 + 4.f * w42 - 8.f * w43 + 16.f * w44) / 90.f; + out7.s5 = (16.f * w40 + 8.f * w41 + 4.f * w42 + 2.f * w43 + w44) / 180.f; + out7.s6 = (16.f * w40 - 8.f * w41 + 4.f * w42 - 2.f * w43 + w44) / 180.f; + out7.s7 = w44; + + int x0 = get_global_id(2); // idx filter + int y0 = get_global_id(0); // idx channel + + // Get output address + __global uchar *dst_addr = dst_ptr + dst_offset_first_element_in_bytes + x0 * sizeof(float) + y0 * dst_stride_y; + + // Store the 64 values across the 64 channels + *(__global float *)(dst_addr + 0 * dst_stride_z) = out0.s0; + *(__global float *)(dst_addr + 1 * dst_stride_z) = out0.s1; + *(__global float *)(dst_addr + 2 * dst_stride_z) = out0.s2; + *(__global float *)(dst_addr + 3 * dst_stride_z) = out0.s3; + *(__global float *)(dst_addr + 4 * dst_stride_z) = out0.s4; + *(__global float *)(dst_addr + 5 * dst_stride_z) = out0.s5; + *(__global float *)(dst_addr + 6 * dst_stride_z) = out0.s6; + *(__global float *)(dst_addr + 7 * dst_stride_z) = out0.s7; + *(__global float *)(dst_addr + 8 * dst_stride_z) = out1.s0; + *(__global float *)(dst_addr + 9 * dst_stride_z) = out1.s1; + *(__global float *)(dst_addr + 10 * dst_stride_z) = out1.s2; + *(__global float *)(dst_addr + 11 * dst_stride_z) = out1.s3; + *(__global float *)(dst_addr + 12 * dst_stride_z) = out1.s4; + *(__global float *)(dst_addr + 13 * dst_stride_z) = out1.s5; + *(__global float *)(dst_addr + 14 * dst_stride_z) = out1.s6; + *(__global float *)(dst_addr + 15 * dst_stride_z) = out1.s7; + *(__global float *)(dst_addr + 16 * dst_stride_z) = out2.s0; + *(__global float *)(dst_addr + 17 * dst_stride_z) = out2.s1; + *(__global float *)(dst_addr + 18 * dst_stride_z) = out2.s2; + *(__global float *)(dst_addr + 19 * dst_stride_z) = out2.s3; + *(__global float *)(dst_addr + 20 * dst_stride_z) = out2.s4; + *(__global float *)(dst_addr + 21 * dst_stride_z) = out2.s5; + *(__global float *)(dst_addr + 22 * dst_stride_z) = out2.s6; + *(__global float *)(dst_addr + 23 * dst_stride_z) = out2.s7; + *(__global float *)(dst_addr + 24 * dst_stride_z) = out3.s0; + *(__global float *)(dst_addr + 25 * dst_stride_z) = out3.s1; + *(__global float *)(dst_addr + 26 * dst_stride_z) = out3.s2; + *(__global float *)(dst_addr + 27 * dst_stride_z) = out3.s3; + *(__global float *)(dst_addr + 28 * dst_stride_z) = out3.s4; + *(__global float *)(dst_addr + 29 * dst_stride_z) = out3.s5; + *(__global float *)(dst_addr + 30 * dst_stride_z) = out3.s6; + *(__global float *)(dst_addr + 31 * dst_stride_z) = out3.s7; + *(__global float *)(dst_addr + 32 * dst_stride_z) = out4.s0; + *(__global float *)(dst_addr + 33 * dst_stride_z) = out4.s1; + *(__global float *)(dst_addr + 34 * dst_stride_z) = out4.s2; + *(__global float *)(dst_addr + 35 * dst_stride_z) = out4.s3; + *(__global float *)(dst_addr + 36 * dst_stride_z) = out4.s4; + *(__global float *)(dst_addr + 37 * dst_stride_z) = out4.s5; + *(__global float *)(dst_addr + 38 * dst_stride_z) = out4.s6; + *(__global float *)(dst_addr + 39 * dst_stride_z) = out4.s7; + *(__global float *)(dst_addr + 40 * dst_stride_z) = out5.s0; + *(__global float *)(dst_addr + 41 * dst_stride_z) = out5.s1; + *(__global float *)(dst_addr + 42 * dst_stride_z) = out5.s2; + *(__global float *)(dst_addr + 43 * dst_stride_z) = out5.s3; + *(__global float *)(dst_addr + 44 * dst_stride_z) = out5.s4; + *(__global float *)(dst_addr + 45 * dst_stride_z) = out5.s5; + *(__global float *)(dst_addr + 46 * dst_stride_z) = out5.s6; + *(__global float *)(dst_addr + 47 * dst_stride_z) = out5.s7; + *(__global float *)(dst_addr + 48 * dst_stride_z) = out6.s0; + *(__global float *)(dst_addr + 49 * dst_stride_z) = out6.s1; + *(__global float *)(dst_addr + 50 * dst_stride_z) = out6.s2; + *(__global float *)(dst_addr + 51 * dst_stride_z) = out6.s3; + *(__global float *)(dst_addr + 52 * dst_stride_z) = out6.s4; + *(__global float *)(dst_addr + 53 * dst_stride_z) = out6.s5; + *(__global float *)(dst_addr + 54 * dst_stride_z) = out6.s6; + *(__global float *)(dst_addr + 55 * dst_stride_z) = out6.s7; + *(__global float *)(dst_addr + 56 * dst_stride_z) = out7.s0; + *(__global float *)(dst_addr + 57 * dst_stride_z) = out7.s1; + *(__global float *)(dst_addr + 58 * dst_stride_z) = out7.s2; + *(__global float *)(dst_addr + 59 * dst_stride_z) = out7.s3; + *(__global float *)(dst_addr + 60 * dst_stride_z) = out7.s4; + *(__global float *)(dst_addr + 61 * dst_stride_z) = out7.s5; + *(__global float *)(dst_addr + 62 * dst_stride_z) = out7.s6; + *(__global float *)(dst_addr + 63 * dst_stride_z) = out7.s7; +} +#endif // defined(SRC_DIM_Z) \ No newline at end of file -- cgit v1.2.1