/* * 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)