fft_base_kernels.h 20.2 KB
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/***************************************************************************
 *   Copyright (C) 2012 by Oliver Bock,Heinz-Bernd Eggenstein              *
 *   oliver.bock[AT]aei.mpg.de                                             *
 *   heinz-bernd.eggenstein[AT]aei.mpg.de                                  *
 *                                                                         *
 *   This file is part of libclfft (originally for Einstein@Home)          *
 *   Derived from clFFT,  (C) Apple, see notice below.                     *
 *                                                                         *
 *                                                                         *
 *   libclfft  is distributed in the hope that it will be useful,          *
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See              *
 *   notice below for more details.                                        *
 *                                                                         *
 ***************************************************************************/
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//
// File:       fft_base_kernels.h
//
// Version:    <1.0>
//
// Disclaimer: IMPORTANT:  This Apple software is supplied to you by Apple Inc. ("Apple")
//             in consideration of your agreement to the following terms, and your use,
//             installation, modification or redistribution of this Apple software
//             constitutes acceptance of these terms.  If you do not agree with these
//             terms, please do not use, install, modify or redistribute this Apple
//             software.
//
//             In consideration of your agreement to abide by the following terms, and
//             subject to these terms, Apple grants you a personal, non - exclusive
//             license, under Apple's copyrights in this original Apple software ( the
//             "Apple Software" ), to use, reproduce, modify and redistribute the Apple
//             Software, with or without modifications, in source and / or binary forms;
//             provided that if you redistribute the Apple Software in its entirety and
//             without modifications, you must retain this notice and the following text
//             and disclaimers in all such redistributions of the Apple Software. Neither
//             the name, trademarks, service marks or logos of Apple Inc. may be used to
//             endorse or promote products derived from the Apple Software without specific
//             prior written permission from Apple.  Except as expressly stated in this
//             notice, no other rights or licenses, express or implied, are granted by
//             Apple herein, including but not limited to any patent rights that may be
//             infringed by your derivative works or by other works in which the Apple
//             Software may be incorporated.
//
//             The Apple Software is provided by Apple on an "AS IS" basis.  APPLE MAKES NO
//             WARRANTIES, EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION THE IMPLIED
//             WARRANTIES OF NON - INFRINGEMENT, MERCHANTABILITY AND FITNESS FOR A
//             PARTICULAR PURPOSE, REGARDING THE APPLE SOFTWARE OR ITS USE AND OPERATION
//             ALONE OR IN COMBINATION WITH YOUR PRODUCTS.
//
//             IN NO EVENT SHALL APPLE BE LIABLE FOR ANY SPECIAL, INDIRECT, INCIDENTAL OR
//             CONSEQUENTIAL DAMAGES ( INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
//             SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
//             INTERRUPTION ) ARISING IN ANY WAY OUT OF THE USE, REPRODUCTION, MODIFICATION
//             AND / OR DISTRIBUTION OF THE APPLE SOFTWARE, HOWEVER CAUSED AND WHETHER
//             UNDER THEORY OF CONTRACT, TORT ( INCLUDING NEGLIGENCE ), STRICT LIABILITY OR
//             OTHERWISE, EVEN IF APPLE HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Copyright ( C ) 2008 Apple Inc. All Rights Reserved.
//
////////////////////////////////////////////////////////////////////////////////////////////////////
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#ifndef __CL_FFT_BASE_KERNELS_
#define __CL_FFT_BASE_KERNELS_
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#include <string>
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using namespace std;
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static string baseKernels = string(
                          "#ifndef M_PI\n"
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                          "#define M_PI 0x1.921fb54442d18p+1\n"
                          "#endif\n"
                          "#define complexMul(a,b) ((float2)(mad(-(a).y, (b).y, (a).x * (b).x), mad((a).y, (b).x, (a).x * (b).y)))\n"
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                          "\n"
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                          "#define cos_sinLUT1(res,dir,i,cossinLUT)\\\n"
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                          "{\\\n"
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                          "(res)=(float2)((cossinLUT)[i].x , (dir)*(cossinLUT)[i].y);\\\n"
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                          "}\n"
                          "\n"
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                          "#define cos_sinLUT2(res,dir,_i,_k,cossinLUT1,cossinLUT2) \\\n"
                          "{   float _sin_1= (cossinLUT1)[_i].y;    \\\n"
                          "    float _sin_2= (cossinLUT2)[_k].y;    \\\n"
                          "    float _cos_1= (cossinLUT1)[_i].x;    \\\n"
                          "    float _cos_2= (cossinLUT2)[_k].x;    \\\n" 
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                          "    float _cos_res = _cos_1 * _cos_2 - _sin_1 * _sin_2; \\\n"
                          "    float _sin_res = (dir) * (_sin_1 * _cos_2 + _cos_1 * _sin_2); \\\n"
                          "    (res)=(float2)(_cos_res,_sin_res);    \\\n" 
                          "}\n"
                          "\n"         
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                          "#define conj(a) ((float2)((a).x, -(a).y))\n"
                          "#define conjTransp(a) ((float2)(-(a).y, (a).x))\n"
                          "\n"
                          "#define fftKernel2(a,dir) \\\n"
                          "{ \\\n"
                          "    float2 c = (a)[0];    \\\n"
                          "    (a)[0] = c + (a)[1];  \\\n"
                          "    (a)[1] = c - (a)[1];  \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel2S(d1,d2,dir) \\\n"
                          "{ \\\n"
                          "    float2 c = (d1);   \\\n"
                          "    (d1) = c + (d2);   \\\n"
                          "    (d2) = c - (d2);   \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel4(a,dir) \\\n"
                          "{ \\\n"
                          "    fftKernel2S((a)[0], (a)[2], dir); \\\n"
                          "    fftKernel2S((a)[1], (a)[3], dir); \\\n"
                          "    fftKernel2S((a)[0], (a)[1], dir); \\\n"
                          "    (a)[3] = (float2)(dir)*(conjTransp((a)[3])); \\\n"
                          "    fftKernel2S((a)[2], (a)[3], dir); \\\n"
                          "    float2 c = (a)[1]; \\\n"
                          "    (a)[1] = (a)[2]; \\\n"
                          "    (a)[2] = c; \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel4s(a0,a1,a2,a3,dir) \\\n"
                          "{ \\\n"
                          "    fftKernel2S((a0), (a2), dir); \\\n"
                          "    fftKernel2S((a1), (a3), dir); \\\n"
                          "    fftKernel2S((a0), (a1), dir); \\\n"
                          "    (a3) = (float2)(dir)*(conjTransp((a3))); \\\n"
                          "    fftKernel2S((a2), (a3), dir); \\\n"
                          "    float2 c = (a1); \\\n"
                          "    (a1) = (a2); \\\n"
                          "    (a2) = c; \\\n"
                          "}\n"
                          "\n"
                          "#define bitreverse8(a) \\\n"
                          "{ \\\n"
                          "    float2 c; \\\n"
                          "    c = (a)[1]; \\\n"
                          "    (a)[1] = (a)[4]; \\\n"
                          "    (a)[4] = c; \\\n"
                          "    c = (a)[3]; \\\n"
                          "    (a)[3] = (a)[6]; \\\n"
                          "    (a)[6] = c; \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel8(a,dir) \\\n"
                          "{ \\\n"
                          " const float2 w1  = (float2)(0x1.6a09e6p-1f,  dir*0x1.6a09e6p-1f);  \\\n"
                          " const float2 w3  = (float2)(-0x1.6a09e6p-1f, dir*0x1.6a09e6p-1f);  \\\n"
                          " float2 c; \\\n"
                          " fftKernel2S((a)[0], (a)[4], dir); \\\n"
                          " fftKernel2S((a)[1], (a)[5], dir); \\\n"
                          " fftKernel2S((a)[2], (a)[6], dir); \\\n"
                          " fftKernel2S((a)[3], (a)[7], dir); \\\n"
                          " (a)[5] = complexMul(w1, (a)[5]); \\\n"
                          " (a)[6] = (float2)(dir)*(conjTransp((a)[6])); \\\n"
                          " (a)[7] = complexMul(w3, (a)[7]); \\\n"
                          " fftKernel2S((a)[0], (a)[2], dir); \\\n"
                          " fftKernel2S((a)[1], (a)[3], dir); \\\n"
                          " fftKernel2S((a)[4], (a)[6], dir); \\\n"
                          " fftKernel2S((a)[5], (a)[7], dir); \\\n"
                          " (a)[3] = (float2)(dir)*(conjTransp((a)[3])); \\\n"
                          " (a)[7] = (float2)(dir)*(conjTransp((a)[7])); \\\n"
                          " fftKernel2S((a)[0], (a)[1], dir); \\\n"
                          " fftKernel2S((a)[2], (a)[3], dir); \\\n"
                          " fftKernel2S((a)[4], (a)[5], dir); \\\n"
                          " fftKernel2S((a)[6], (a)[7], dir); \\\n"
                          " bitreverse8((a)); \\\n"
                          "}\n"
                          "\n"
                          "#define bitreverse4x4(a) \\\n"
                          "{ \\\n"
                          " float2 c; \\\n"
                          " c = (a)[1];  (a)[1]  = (a)[4];  (a)[4]  = c; \\\n"
                          " c = (a)[2];  (a)[2]  = (a)[8];  (a)[8]  = c; \\\n"
                          " c = (a)[3];  (a)[3]  = (a)[12]; (a)[12] = c; \\\n"
                          " c = (a)[6];  (a)[6]  = (a)[9];  (a)[9]  = c; \\\n"
                          " c = (a)[7];  (a)[7]  = (a)[13]; (a)[13] = c; \\\n"
                          " c = (a)[11]; (a)[11] = (a)[14]; (a)[14] = c; \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel16(a,dir) \\\n"
                          "{ \\\n"
                          "    const float w0 = 0x1.d906bcp-1f; \\\n"
                          "    const float w1 = 0x1.87de2ap-2f; \\\n"
                          "    const float w2 = 0x1.6a09e6p-1f; \\\n"
                          "    fftKernel4s((a)[0], (a)[4], (a)[8],  (a)[12], dir); \\\n"
                          "    fftKernel4s((a)[1], (a)[5], (a)[9],  (a)[13], dir); \\\n"
                          "    fftKernel4s((a)[2], (a)[6], (a)[10], (a)[14], dir); \\\n"
                          "    fftKernel4s((a)[3], (a)[7], (a)[11], (a)[15], dir); \\\n"
                          "    (a)[5]  = complexMul((a)[5], (float2)(w0, dir*w1)); \\\n"
                          "    (a)[6]  = complexMul((a)[6], (float2)(w2, dir*w2)); \\\n"
                          "    (a)[7]  = complexMul((a)[7], (float2)(w1, dir*w0)); \\\n"
                          "    (a)[9]  = complexMul((a)[9], (float2)(w2, dir*w2)); \\\n"
                          "    (a)[10] = (float2)(dir)*(conjTransp((a)[10])); \\\n"
                          "    (a)[11] = complexMul((a)[11], (float2)(-w2, dir*w2)); \\\n"
                          "    (a)[13] = complexMul((a)[13], (float2)(w1, dir*w0)); \\\n"
                          "    (a)[14] = complexMul((a)[14], (float2)(-w2, dir*w2)); \\\n"
                          "    (a)[15] = complexMul((a)[15], (float2)(-w0, dir*-w1)); \\\n"
                          "    fftKernel4((a), dir); \\\n"
                          "    fftKernel4((a) + 4, dir); \\\n"
                          "    fftKernel4((a) + 8, dir); \\\n"
                          "    fftKernel4((a) + 12, dir); \\\n"
                          "    bitreverse4x4((a)); \\\n"
                          "}\n"
                          "\n"
                          "#define bitreverse32(a) \\\n"
                          "{ \\\n"
                          "    float2 c1, c2; \\\n"
                          "    c1 = (a)[2];   (a)[2] = (a)[1];   c2 = (a)[4];   (a)[4] = c1;   c1 = (a)[8];   (a)[8] = c2;    c2 = (a)[16];  (a)[16] = c1;   (a)[1] = c2; \\\n"
                          "    c1 = (a)[6];   (a)[6] = (a)[3];   c2 = (a)[12];  (a)[12] = c1;  c1 = (a)[24];  (a)[24] = c2;   c2 = (a)[17];  (a)[17] = c1;   (a)[3] = c2; \\\n"
                          "    c1 = (a)[10];  (a)[10] = (a)[5];  c2 = (a)[20];  (a)[20] = c1;  c1 = (a)[9];   (a)[9] = c2;    c2 = (a)[18];  (a)[18] = c1;   (a)[5] = c2; \\\n"
                          "    c1 = (a)[14];  (a)[14] = (a)[7];  c2 = (a)[28];  (a)[28] = c1;  c1 = (a)[25];  (a)[25] = c2;   c2 = (a)[19];  (a)[19] = c1;   (a)[7] = c2; \\\n"
                          "    c1 = (a)[22];  (a)[22] = (a)[11]; c2 = (a)[13];  (a)[13] = c1;  c1 = (a)[26];  (a)[26] = c2;   c2 = (a)[21];  (a)[21] = c1;   (a)[11] = c2; \\\n"
                          "    c1 = (a)[30];  (a)[30] = (a)[15]; c2 = (a)[29];  (a)[29] = c1;  c1 = (a)[27];  (a)[27] = c2;   c2 = (a)[23];  (a)[23] = c1;   (a)[15] = c2; \\\n"
                          "}\n"
                          "\n"
                          "#define fftKernel32(a,dir) \\\n"
                          "{ \\\n"
                          "    fftKernel2S((a)[0],  (a)[16], dir); \\\n"
                          "    fftKernel2S((a)[1],  (a)[17], dir); \\\n"
                          "    fftKernel2S((a)[2],  (a)[18], dir); \\\n"
                          "    fftKernel2S((a)[3],  (a)[19], dir); \\\n"
                          "    fftKernel2S((a)[4],  (a)[20], dir); \\\n"
                          "    fftKernel2S((a)[5],  (a)[21], dir); \\\n"
                          "    fftKernel2S((a)[6],  (a)[22], dir); \\\n"
                          "    fftKernel2S((a)[7],  (a)[23], dir); \\\n"
                          "    fftKernel2S((a)[8],  (a)[24], dir); \\\n"
                          "    fftKernel2S((a)[9],  (a)[25], dir); \\\n"
                          "    fftKernel2S((a)[10], (a)[26], dir); \\\n"
                          "    fftKernel2S((a)[11], (a)[27], dir); \\\n"
                          "    fftKernel2S((a)[12], (a)[28], dir); \\\n"
                          "    fftKernel2S((a)[13], (a)[29], dir); \\\n"
                          "    fftKernel2S((a)[14], (a)[30], dir); \\\n"
                          "    fftKernel2S((a)[15], (a)[31], dir); \\\n"
                          "    (a)[17] = complexMul((a)[17], (float2)(0x1.f6297cp-1f, dir*0x1.8f8b84p-3f)); \\\n"
                          "    (a)[18] = complexMul((a)[18], (float2)(0x1.d906bcp-1f, dir*0x1.87de2ap-2f)); \\\n"
                          "    (a)[19] = complexMul((a)[19], (float2)(0x1.a9b662p-1f, dir*0x1.1c73b4p-1f)); \\\n"
                          "    (a)[20] = complexMul((a)[20], (float2)(0x1.6a09e6p-1f, dir*0x1.6a09e6p-1f)); \\\n"
                          "    (a)[21] = complexMul((a)[21], (float2)(0x1.1c73b4p-1f, dir*0x1.a9b662p-1f)); \\\n"
                          "    (a)[22] = complexMul((a)[22], (float2)(0x1.87de2ap-2f, dir*0x1.d906bcp-1f)); \\\n"
                          "    (a)[23] = complexMul((a)[23], (float2)(0x1.8f8b84p-3f, dir*0x1.f6297cp-1f)); \\\n"
                          "    (a)[24] = complexMul((a)[24], (float2)(0x0p+0f, dir*0x1p+0f)); \\\n"
                          "    (a)[25] = complexMul((a)[25], (float2)(-0x1.8f8b84p-3f, dir*0x1.f6297cp-1f)); \\\n"
                          "    (a)[26] = complexMul((a)[26], (float2)(-0x1.87de2ap-2f, dir*0x1.d906bcp-1f)); \\\n"
                          "    (a)[27] = complexMul((a)[27], (float2)(-0x1.1c73b4p-1f, dir*0x1.a9b662p-1f)); \\\n"
                          "    (a)[28] = complexMul((a)[28], (float2)(-0x1.6a09e6p-1f, dir*0x1.6a09e6p-1f)); \\\n"
                          "    (a)[29] = complexMul((a)[29], (float2)(-0x1.a9b662p-1f, dir*0x1.1c73b4p-1f)); \\\n"
                          "    (a)[30] = complexMul((a)[30], (float2)(-0x1.d906bcp-1f, dir*0x1.87de2ap-2f)); \\\n"
                          "    (a)[31] = complexMul((a)[31], (float2)(-0x1.f6297cp-1f, dir*0x1.8f8b84p-3f)); \\\n"
                          "    fftKernel16((a), dir); \\\n"
                          "    fftKernel16((a) + 16, dir); \\\n"
                          "    bitreverse32((a)); \\\n"
                          "}\n\n"
                          );
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static string twistKernelInterleaved = string(
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                                              "__kernel void \\\n"
                                              "clFFT_1DTwistInterleaved(__global float2 *in, unsigned int startRow, unsigned int numCols, unsigned int N, unsigned int numRowsToProcess, int dir) \\\n"
                                              "{ \\\n"
                                              "   float2 a, w; \\\n"
                                              "   float ang; \\\n"
                                              "   unsigned int j; \\\n"
                                              " unsigned int i = get_global_id(0); \\\n"
                                              " unsigned int startIndex = i; \\\n"
                                              "  \\\n"
                                              " if(i < numCols) \\\n"
                                              " { \\\n"
                                              "     for(j = 0; j < numRowsToProcess; j++) \\\n"
                                              "     { \\\n"
                                              "         a = in[startIndex]; \\\n"
                                              "         ang = 2.0f * M_PI * dir * i * (startRow + j) / N; \\\n"
                                              "         w = (float2)(native_cos(ang), native_sin(ang)); \\\n"
                                              "         a = complexMul(a, w); \\\n"
                                              "         in[startIndex] = a; \\\n"
                                              "         startIndex += numCols; \\\n"
                                              "     } \\\n"
                                              " }    \\\n"
                                              "} \\\n"
                                              );
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static string twistKernelPlannar = string(
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                                          "__kernel void \\\n"
                                          "clFFT_1DTwistSplit(__global float *in_real, __global float *in_imag , unsigned int startRow, unsigned int numCols, unsigned int N, unsigned int numRowsToProcess, int dir) \\\n"
                                          "{ \\\n"
                                          "    float2 a, w; \\\n"
                                          "    float ang; \\\n"
                                          "    unsigned int j; \\\n"
                                          " unsigned int i = get_global_id(0); \\\n"
                                          " unsigned int startIndex = i; \\\n"
                                          "  \\\n"
                                          " if(i < numCols) \\\n"
                                          " { \\\n"
                                          "     for(j = 0; j < numRowsToProcess; j++) \\\n"
                                          "     { \\\n"
                                          "         a = (float2)(in_real[startIndex], in_imag[startIndex]); \\\n"
                                          "         ang = 2.0f * M_PI * dir * i * (startRow + j) / N; \\\n"
                                          "         w = (float2)(native_cos(ang), native_sin(ang)); \\\n"
                                          "         a = complexMul(a, w); \\\n"
                                          "         in_real[startIndex] = a.x; \\\n"
                                          "         in_imag[startIndex] = a.y; \\\n"
                                          "         startIndex += numCols; \\\n"
                                          "     } \\\n"
                                          " }    \\\n"
                                          "} \\\n"
                                          );
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#endif