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Diffstat (limited to 'src/core/CL/cl_kernels/common/fft.cl')
| -rw-r--r-- | src/core/CL/cl_kernels/common/fft.cl | 1880 |
1 files changed, 1880 insertions, 0 deletions
diff --git a/src/core/CL/cl_kernels/common/fft.cl b/src/core/CL/cl_kernels/common/fft.cl new file mode 100644 index 0000000000..3f26d0f1a6 --- /dev/null +++ b/src/core/CL/cl_kernels/common/fft.cl @@ -0,0 +1,1880 @@ +/* + * Copyright (c) 2019-2021 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(DATA_TYPE) +/** Calculates and applies the twiddle factor to a given input. + * + * @param[in] phi The angle. + * @param[in,out] input The input on which the factor should be applied. + */ +#define TWIDDLE_FACTOR_MULTIPLICATION(phi, input) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + w, tmp; \ + w.x = cos(phi); \ + w.y = sin(phi); \ + tmp.x = (w.x * input.x) - (w.y * input.y); \ + tmp.y = (w.x * input.y) + (w.y * input.x); \ + input = tmp; \ + } + +/** Computes radix-2 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + */ +#define DFT_2(c0, c1) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0; \ + v0 = c0; \ + c0 = v0 + c1; \ + c1 = v0 - c1; \ + } + +// radix-3 butterfly unit factors +#define SQRT3DIV2 0.86602540378443f + +/** Computes radix-3 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + * @param[in,out] c2 Complex input 2. + */ +#define DFT_3(c0, c1, c2) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0 = c1 + c2; \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v1 = c1 - c2; \ + c1.x = c0.x - 0.5f * v0.x + v1.y * SQRT3DIV2; \ + c1.y = c0.y - 0.5f * v0.y - v1.x * SQRT3DIV2; \ + c2.x = c0.x - 0.5f * v0.x - v1.y * SQRT3DIV2; \ + c2.y = c0.y - 0.5f * v0.y + v1.x * SQRT3DIV2; \ + c0 = c0 + v0; \ + } + +/**Computes radix-4 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + * @param[in,out] c2 Complex input 2. + * @param[in,out] c3 Complex input 3. + */ +#define DFT_4(c0, c1, c2, c3) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0, v1, v2, v3; \ + v0 = c0 + c2; \ + v1 = c1 + c3; \ + v2 = c0 - c2; \ + v3.x = c1.y - c3.y; \ + v3.y = c3.x - c1.x; \ + c0 = v0 + v1; \ + c2 = v0 - v1; \ + c1 = v2 + v3; \ + c3 = v2 - v3; \ + } + +// radix-5 butterfly unit factors +#define W5_A (DATA_TYPE)0.30901699437494f +#define W5_B (DATA_TYPE)0.95105651629515f +#define W5_C (DATA_TYPE)0.80901699437494f +#define W5_D (DATA_TYPE)0.58778525229247f + +/** Computes radix-5 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + * @param[in,out] c2 Complex input 2. + * @param[in,out] c3 Complex input 3. + * @param[in,out] c4 Complex input 4. + */ +#define DFT_5(c0, c1, c2, c3, c4) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0, v1, v2, v3, v4; \ + v0 = c0; \ + v1 = W5_A * (c1 + c4) - W5_C * (c2 + c3); \ + v2 = W5_C * (c1 + c4) - W5_A * (c2 + c3); \ + v3 = W5_D * (c1 - c4) - W5_B * (c2 - c3); \ + v4 = W5_B * (c1 - c4) + W5_D * (c2 - c3); \ + c0 = v0 + c1 + c2 + c3 + c4; \ + c1 = v0 + v1 + (VEC_DATA_TYPE(DATA_TYPE, 2))(v4.y, -v4.x); \ + c2 = v0 - v2 + (VEC_DATA_TYPE(DATA_TYPE, 2))(v3.y, -v3.x); \ + c3 = v0 - v2 + (VEC_DATA_TYPE(DATA_TYPE, 2))(-v3.y, v3.x); \ + c4 = v0 + v1 + (VEC_DATA_TYPE(DATA_TYPE, 2))(-v4.y, v4.x); \ + } + +// radix-7 butterfly unit factors +#define W7_A (DATA_TYPE)0.62348980185873f +#define W7_B (DATA_TYPE)0.78183148246802f +#define W7_C (DATA_TYPE)0.22252093395631f +#define W7_D (DATA_TYPE)0.97492791218182f +#define W7_E (DATA_TYPE)0.90096886790241f +#define W7_F (DATA_TYPE)0.43388373911755f + +/** Computes radix-7 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + * @param[in,out] c2 Complex input 2. + * @param[in,out] c3 Complex input 3. + * @param[in,out] c4 Complex input 4. + * @param[in,out] c5 Complex input 5. + * @param[in,out] c6 Complex input 6. + */ +#define DFT_7(c0, c1, c2, c3, c4, c5, c6) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0, v1, v2, v3, v4, v5, v6; \ + v0 = c0; \ + v1 = W7_A * (c1 + c6) - W7_C * (c2 + c5) - W7_E * (c3 + c4); \ + v2 = W7_C * (c1 + c6) + W7_E * (c2 + c5) - W7_A * (c3 + c4); \ + v3 = W7_E * (c1 + c6) - W7_A * (c2 + c5) + W7_C * (c3 + c4); \ + v4 = W7_B * (c1 - c6) + W7_D * (c2 - c5) + W7_F * (c3 - c4); \ + v5 = W7_D * (c1 - c6) - W7_F * (c2 - c5) - W7_B * (c3 - c4); \ + v6 = W7_F * (c1 - c6) - W7_B * (c2 - c5) + W7_D * (c3 - c4); \ + c0 = v0 + c1 + c2 + c3 + c4 + c5 + c6; \ + c1 = v0 + v1 + (VEC_DATA_TYPE(DATA_TYPE, 2))(v4.y, -v4.x); \ + c2 = v0 - v2 + (VEC_DATA_TYPE(DATA_TYPE, 2))(v5.y, -v5.x); \ + c3 = v0 - v3 + (VEC_DATA_TYPE(DATA_TYPE, 2))(v6.y, -v6.x); \ + c4 = v0 - v3 + (VEC_DATA_TYPE(DATA_TYPE, 2))(-v6.y, v6.x); \ + c5 = v0 - v2 + (VEC_DATA_TYPE(DATA_TYPE, 2))(-v5.y, v5.x); \ + c6 = v0 + v1 + (VEC_DATA_TYPE(DATA_TYPE, 2))(-v4.y, v4.x); \ + } + +/** Computes radix-8 butterfly unit. + * + * @param[in,out] c0 Complex input 0. + * @param[in,out] c1 Complex input 1. + * @param[in,out] c2 Complex input 2. + * @param[in,out] c3 Complex input 3. + * @param[in,out] c4 Complex input 4. + * @param[in,out] c5 Complex input 5. + * @param[in,out] c6 Complex input 6. + * @param[in,out] c7 Complex input 7. + */ +#define DFT_8(c0, c1, c2, c3, c4, c5, c6, c7) \ + { \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + v0, v1, v2, v3, v4, v5, v6, v7; \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + s0, s1, s2, s3, s4, s5, s6, s7; \ + VEC_DATA_TYPE(DATA_TYPE, 2) \ + t0, t1, t2; \ + v0 = c0 + c4; \ + v1 = c1 + c5; \ + v2 = c2 + c6; \ + v3 = c3 + c7; \ + v4 = c0 - c4; \ + v5 = c1 - c5; \ + v6 = c2 - c6; \ + v7 = c3 - c7; \ + s0 = v0 + v2; \ + s1 = v1 + v3; \ + s2 = v0 - v2; \ + s3 = v1 - v3; \ + s4.x = v4.x - v6.y; \ + s4.y = v4.y + v6.x; \ + s5.x = v5.x - v7.y; \ + s5.y = v5.y + v7.x; \ + s6.x = v4.x + v6.y; \ + s6.y = v4.y - v6.x; \ + s7.x = v5.x + v7.y; \ + s7.y = v5.y - v7.x; \ + t0.x = -s3.y; \ + t0.y = s3.x; \ + t1.x = M_SQRT1_2_F * (s5.x - s5.y); \ + t1.y = M_SQRT1_2_F * (s5.x + s5.y); \ + t2.x = -M_SQRT1_2_F * (s7.x + s7.y); \ + t2.y = M_SQRT1_2_F * (s7.x - s7.y); \ + c0 = s0 + s1; \ + c1 = s6 - t2; \ + c2 = s2 - t0; \ + c3 = s4 - t1; \ + c4 = s0 - s1; \ + c5 = s6 + t2; \ + c6 = s2 + t0; \ + c7 = s4 + t1; \ + } + +/** Computes the first stage of a radix-2 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_2_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load two complex input values + VEC_DATA_TYPE(DATA_TYPE, 4) + data = vload4(0, (__global DATA_TYPE *)input.ptr); + + // Compute DFT N = 2 + DFT_2(data.s01, data.s23); + + // Store two complex output values + vstore4(data, 0, (__global DATA_TYPE *)output.ptr); +} + +/** Computes the first stage of a radix-2 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_2_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load two complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + + // Compute DFT N = 2 + DFT_2(data1, data2); + + // Store two complex output values + vstore2(data1, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); +} + +/** Computes the first stage of a radix-3 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_3_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load three complex input values + VEC_DATA_TYPE(DATA_TYPE, 4) + data0 = vload4(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2, 0, 0)); + + // Compute DFT N = 3 + DFT_3(data0.s01, data0.s23, data1.s01); + + // Store three complex output values + vstore4(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2, 0, 0)); +} + +/** Computes the first stage of a radix-3 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_3_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load three complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2, 0)); + + // Compute DFT N = 3 + DFT_3(data0, data1, data2); + + // Store three complex output values + vstore2(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2, 0)); +} + +/** Computes the first stage of a radix-4 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_4_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load four complex input values + VEC_DATA_TYPE(DATA_TYPE, 8) + data = vload8(0, (__global DATA_TYPE *)input.ptr); + + // Compute DFT N = 4 + DFT_4(data.s01, data.s23, data.s45, data.s67); + + // Store four complex output values + vstore8(data, 0, (__global DATA_TYPE *)output.ptr); +} + +/** Computes the first stage of a radix-4 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_4_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load four complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3, 0)); + + // Compute DFT N = 4 + DFT_4(data0, data1, data2, data3); + + // Store four complex output values + vstore2(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2, 0)); + vstore2(data3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3, 0)); +} + +/** Computes the first stage of a radix-5 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_5_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load five complex input values + VEC_DATA_TYPE(DATA_TYPE, 8) + data0 = vload8(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 4, 0, 0)); + + // Compute DFT N = 5 + DFT_5(data0.s01, data0.s23, data0.s45, data0.s67, data1.s01); + + // Store five complex output values + vstore8(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 4, 0, 0)); +} + +/** Computes the first stage of a radix-5 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_5_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load five complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4, 0)); + + // Compute DFT N = 5 + DFT_5(data0, data1, data2, data3, data4); + + // Store five complex output values + vstore2(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2, 0)); + vstore2(data3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3, 0)); + vstore2(data4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4, 0)); +} + +/** Computes the first stage of a radix-7 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_7_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load seven complex input values + VEC_DATA_TYPE(DATA_TYPE, 8) + data0 = vload8(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 4) + data1 = vload4(0, (__global DATA_TYPE *)tensor3D_offset(&input, 4, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 6, 0, 0)); + + // Compute DFT N = 7 + DFT_7(data0.s01, data0.s23, data0.s45, data0.s67, data1.s01, data1.s23, data2.s01); + + // Store seven complex output values + vstore8(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore4(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 4, 0, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 6, 0, 0)); +} + +/** Computes the first stage of a radix-7 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_7_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load seven complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 5, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 6, 0)); + + // Compute DFT N = 7 + DFT_7(data0, data1, data2, data3, data4, data5, data6); + + // Store seven complex output values + vstore2(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2, 0)); + vstore2(data3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3, 0)); + vstore2(data4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4, 0)); + vstore2(data5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 5, 0)); + vstore2(data6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 6, 0)); +} + +/** Computes the first stage of a radix-8 DFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_8_first_stage_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load eight complex input values + VEC_DATA_TYPE(DATA_TYPE, 16) + data = vload16(0, (__global DATA_TYPE *)input.ptr); + + // Compute DFT N = 8 + DFT_8(data.s01, data.s23, data.s45, data.s67, data.s89, data.sAB, data.sCD, data.sEF); + + // Store eight complex output values + vstore16(data, 0, (__global DATA_TYPE *)output.ptr); +} + +/** Computes the first stage of a radix-8 DFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + */ +__kernel void fft_radix_8_first_stage_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ +) +{ + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT(input); +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT(output); +#endif /* IN_PLACE */ + + // Load eight complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + data0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + data1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 1, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 5, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 6, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + data7 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 7, 0)); + + // Compute DFT N = 8 + DFT_8(data0, data1, data2, data3, data4, data5, data6, data7); + + // Store eight complex output values + vstore2(data0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(data1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 1, 0)); + vstore2(data2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2, 0)); + vstore2(data3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3, 0)); + vstore2(data4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4, 0)); + vstore2(data5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 5, 0)); + vstore2(data6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 6, 0)); + vstore2(data7, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 7, 0)); +} + +/** Computes a stage of a radix-2 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_2_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-2 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load two complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + + // Compute DFT N = 2 + DFT_2(c0, c1); + + // Store two complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); +} + +/** Computes a stage of a radix-2 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_2_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-2 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load two complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + + // Compute DFT N = 2 + DFT_2(c0, c1); + + // Store two complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); +} + +/** Computes a stage of a radix-3 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_3_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-3 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load three complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2 * Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + + // Compute DFT N = 3 + DFT_3(c0, c1, c2); + + // Store three complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2 * Nx, 0, 0)); +} + +/** Computes a stage of a radix-3 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_3_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-3 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load three complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2 * Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + + // Compute DFT N = 3 + DFT_3(c0, c1, c2); + + // Store three complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2 * Nx, 0)); +} + +/** Computes a stage of a radix-4 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_4_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-4 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load four complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 3 * Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + + // Compute DFT N = 4 + DFT_4(c0, c1, c2, c3); + + // Store four complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2 * Nx, 0, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 3 * Nx, 0, 0)); +} + +/** Computes a stage of a radix-4 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_4_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-4 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load four complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3 * Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + + // Compute DFT N = 4 + DFT_4(c0, c1, c2, c3); + + // Store four complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2 * Nx, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3 * Nx, 0)); +} + +/** Computes a stage of a radix-5 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_5_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-5 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load five complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 3 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 4 * Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + + // Compute DFT N = 5 + DFT_5(c0, c1, c2, c3, c4); + + // Store five complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2 * Nx, 0, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 3 * Nx, 0, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 4 * Nx, 0, 0)); +} + +/** Computes a stage of a radix-5 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_5_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-5 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load five complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4 * Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + + // Compute DFT N = 5 + DFT_5(c0, c1, c2, c3, c4); + + // Store five complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2 * Nx, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3 * Nx, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4 * Nx, 0)); +} + +/** Computes a stage of a radix-7 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_7_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-7 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load seven complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 3 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 4 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 5 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 6 * Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + TWIDDLE_FACTOR_MULTIPLICATION(5 * phi, c5); + TWIDDLE_FACTOR_MULTIPLICATION(6 * phi, c6); + + // Compute DFT N = 7 + DFT_7(c0, c1, c2, c3, c4, c5, c6); + + // Store seven complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2 * Nx, 0, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 3 * Nx, 0, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 4 * Nx, 0, 0)); + vstore2(c5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 5 * Nx, 0, 0)); + vstore2(c6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 6 * Nx, 0, 0)); +} + +/** Computes a stage of a radix-7 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_7_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-7 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load seven complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 5 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 6 * Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + TWIDDLE_FACTOR_MULTIPLICATION(5 * phi, c5); + TWIDDLE_FACTOR_MULTIPLICATION(6 * phi, c6); + + // Compute DFT N = 7 + DFT_7(c0, c1, c2, c3, c4, c5, c6); + + // Store seven complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2 * Nx, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3 * Nx, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4 * Nx, 0)); + vstore2(c5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 5 * Nx, 0)); + vstore2(c6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 6 * Nx, 0)); +} + +/** Computes a stage of a radix-8 FFT on axis 0. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_8_axis_0( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-8 + uint kx = get_global_id(0); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += n * input.stride_x + get_global_id(1) * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += n * output.stride_x + get_global_id(1) * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load eight complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 2 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 3 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 4 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 5 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 6 * Nx, 0, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c7 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 7 * Nx, 0, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + TWIDDLE_FACTOR_MULTIPLICATION(5 * phi, c5); + TWIDDLE_FACTOR_MULTIPLICATION(6 * phi, c6); + TWIDDLE_FACTOR_MULTIPLICATION(7 * phi, c7); + + // Compute DFT N = 8 + DFT_8(c0, c1, c2, c3, c4, c5, c6, c7); + + // Store eight complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, Nx, 0, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 2 * Nx, 0, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 3 * Nx, 0, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 4 * Nx, 0, 0)); + vstore2(c5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 5 * Nx, 0, 0)); + vstore2(c6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 6 * Nx, 0, 0)); + vstore2(c7, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 7 * Nx, 0, 0)); +} + +/** Computes a stage of a radix-8 FFT on axis 1. + * + * @note In order to perform the FFT function "in-place", the pre-processor -DIN_PLACE must be passed at compile time + * + * @param[in,out] input_ptr Pointer to the source tensor. Supported data types: F16/f32 + * @param[in,out] input_stride_x Stride of the source tensor in X dimension (in bytes) + * @param[in,out] input_step_x input_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in,out] input_stride_y Stride of the source tensor in Y dimension (in bytes) + * @param[in,out] input_step_y input_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in,out] input_stride_z Stride of the source tensor in Z dimension (in bytes) + * @param[in,out] input_step_z input_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in,out] input_offset_first_element_in_bytes The offset of the first element in the source tensor + * @param[out] output_ptr (Optional) Pointer to the destination image. Supported data types: same as @p input_ptr + * @param[in] output_stride_x (Optional) Stride of the destination image in X dimension (in bytes) + * @param[in] output_step_x (Optional) output_stride_x * number of elements along X processed per workitem(in bytes) + * @param[in] output_stride_y (Optional) Stride of the destination image in Y dimension (in bytes) + * @param[in] output_step_y (Optional) output_stride_y * number of elements along Y processed per workitem(in bytes) + * @param[in] output_stride_z (Optional) Stride of the source tensor in Z dimension (in bytes) + * @param[in] output_step_z (Optional) output_stride_z * number of elements along Z processed per workitem(in bytes) + * @param[in] output_offset_first_element_in_bytes (Optional) The offset of the first element in the destination image + * @param[in] Nx The butterfly span. Products of radix order of previous radix's stage + * @param[in] Ni Nx * Ny. + * @param[in] exp_const Exponent constant + */ +__kernel void fft_radix_8_axis_1( + TENSOR3D_DECLARATION(input) +#ifndef IN_PLACE + , + TENSOR3D_DECLARATION(output) +#endif /* not IN_PLACE */ + , + uint Nx, uint Ni, float exp_const) +{ + // Each work-item computes a single radix-8 + uint kx = get_global_id(1); + + // Compute nx + uint nx = kx % Nx; + + // Compute n index + uint n = nx + (kx / Nx) * Ni; + + // Get tensor pointers + Tensor3D input = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(input); + input.ptr += get_global_id(0) * input.stride_x + n * input.stride_y + get_global_id(2) * input.stride_z; +#ifdef IN_PLACE + Tensor3D output = input; +#else /* IN_PLACE */ + Tensor3D output = CONVERT_TO_TENSOR3D_STRUCT_NO_STEP(output); + output.ptr += get_global_id(0) * output.stride_x + n * output.stride_y + get_global_id(2) * output.stride_z; +#endif /* IN_PLACE */ + + // Load eight complex input values + VEC_DATA_TYPE(DATA_TYPE, 2) + c0 = vload2(0, (__global DATA_TYPE *)input.ptr); + VEC_DATA_TYPE(DATA_TYPE, 2) + c1 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c2 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 2 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c3 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 3 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c4 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 4 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c5 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 5 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c6 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 6 * Nx, 0)); + VEC_DATA_TYPE(DATA_TYPE, 2) + c7 = vload2(0, (__global DATA_TYPE *)tensor3D_offset(&input, 0, 7 * Nx, 0)); + + // Compute phi + DATA_TYPE phi = (DATA_TYPE)nx * (DATA_TYPE)exp_const; + + // Multiply by twiddle factor + TWIDDLE_FACTOR_MULTIPLICATION(phi, c1); + TWIDDLE_FACTOR_MULTIPLICATION(2 * phi, c2); + TWIDDLE_FACTOR_MULTIPLICATION(3 * phi, c3); + TWIDDLE_FACTOR_MULTIPLICATION(4 * phi, c4); + TWIDDLE_FACTOR_MULTIPLICATION(5 * phi, c5); + TWIDDLE_FACTOR_MULTIPLICATION(6 * phi, c6); + TWIDDLE_FACTOR_MULTIPLICATION(7 * phi, c7); + + // Compute DFT N = 8 + DFT_8(c0, c1, c2, c3, c4, c5, c6, c7); + + // Store eight complex output values + vstore2(c0, 0, (__global DATA_TYPE *)output.ptr); + vstore2(c1, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, Nx, 0)); + vstore2(c2, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 2 * Nx, 0)); + vstore2(c3, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 3 * Nx, 0)); + vstore2(c4, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 4 * Nx, 0)); + vstore2(c5, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 5 * Nx, 0)); + vstore2(c6, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 6 * Nx, 0)); + vstore2(c7, 0, (__global DATA_TYPE *)tensor3D_offset(&output, 0, 7 * Nx, 0)); +} +#endif // defined(DATA_TYPE)
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