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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
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// 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
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// 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.
//
////////////////////////////////////////////////////////////////////////////////////////////////////
#ifndef __CL_FFT_BASE_KERNELS_
#define __CL_FFT_BASE_KERNELS_
#include <string>
using namespace std;
static string baseKernels = string(
"#ifndef M_PI\n"
"#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"
"#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"
);
static string twistKernelInterleaved = string(
"__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"
);
static string twistKernelPlannar = string(
"__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"
);
#endif
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