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Copy pathPrimeFactorDFT.cpp
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5326 lines (5154 loc) · 253 KB
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/*
Copyright © 2024 Claus Vind-Andreasen
This program is free software; you can redistribute it and /or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program 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 the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111 - 1307 USA
This General Public License does not permit incorporating your program into proprietary programs.If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library.
If this is what you want to do, use the GNU Library General Public License instead of this License.
Inspiration originally from
Clive Temperton
Journal of Computational Physics 58, 283-299 (1985)
"Implementation of a Self-Sorting In-Place Prime Factor FFT Algorithm."
And the work by
C. Sidney Burrus
Ivan Selesnick at RICE University
*/
#include <iostream>
#include <list>
#include "PrimeFactorDFT.h"
s64 PrimeFactorDFT::ValidateFactors(factorSeq& _factors)
{
int f2 = 0;
int f3 = 0;
int f5 = 0;
int f7 = 0;
int f11 = 0;
int f13 = 0;
int f17 = 0;
int f19 = 0;
int f31 = 0;
int funknown = 0;
for (factorSeq::const_iterator it = _factors.begin();
it != _factors.end();
it++)
switch (*it)
{
case 2: f2++; break;
case 3: f3++; break;
case 5: f5++; break;
case 7: f7++; break;
case 11: f11++; break;
case 13: f13++; break;
case 17: f17++; break;
case 19: f19++; break;
case 31: f31++; break;
default: funknown++; break;
};
if (0 == (f2 + f3 + f5 + f7 + f11 + f13 + f17 + f19 + f31))
return 0;
if (funknown > 0)
return -1;
if ((f2 > 1) || (f3 > 1) || (f5 > 1) || (f7 > 1) || (f11 > 1) || (f13 > 1)
|| (f17 > 1) || (f19 > 1) || (f31 > 1))
return -2;
s64 length = 1;
if (f2 == 1) length *= 2;
if (f3 == 1) length *= 3;
if (f5 == 1) length *= 5;
if (f7 == 1) length *= 7;
if (f11 == 1) length *= 11;
if (f13 == 1) length *= 13;
if (f17 == 1) length *= 17;
if (f19 == 1) length *= 19;
if (f31 == 1) length *= 31;
return length;
}
void PrimeFactorDFT::InitDFT(factorSeq& _factors, std::vector<BasicDFT*> &_DFTs)
{
for (std::size_t i = 0;i < _factors.size();i++)
{
std::vector<s64> indices;
InitIndices(indices, _factors[i], (int) state);
BasicDFT* t;
switch (_factors[i])
{
case 2: t = (BasicDFT*) new DFT2(Rotations[i], state / 2, indices); _DFTs.push_back(t); break;
case 3: t = (BasicDFT*) new DFT3(Rotations[i], state / 3, indices); _DFTs.push_back(t); break;
case 5: t = (BasicDFT*) new DFT5(Rotations[i], state / 5, indices); _DFTs.push_back(t); break;
case 7: t = (BasicDFT*) new DFT7(Rotations[i], state / 7, indices); _DFTs.push_back(t); break;
case 11: t = (BasicDFT*) new DFT11(Rotations[i], state / 11, indices); _DFTs.push_back(t); break;
case 13: t = (BasicDFT*) new DFT13(Rotations[i], state / 13, indices); _DFTs.push_back(t); break;
case 17: t = (BasicDFT*) new DFT17(Rotations[i], state / 17, indices); _DFTs.push_back(t); break;
case 19: t = (BasicDFT*) new DFT19(Rotations[i], state / 19, indices); _DFTs.push_back(t); break;
case 31: t = (BasicDFT*) new DFT31(Rotations[i], state / 31, indices); _DFTs.push_back(t); break;
default: std::cout << "PFADFT::PFADT something is wrong here, Factorlist[" << i << "]= " << state << std::endl;
}
}
}
void PrimeFactorDFT::CleanUpDFT( std::vector<BasicDFT*> &_DFTs)
{
while (_DFTs.size()) {
delete _DFTs.back();
_DFTs.pop_back();
}
//(void)_DTFs;
}
void PrimeFactorDFT::forwardFFT(Data* real, Data *imag)
{
for (std::vector<BasicDFT*>::const_iterator it = DFTs.begin();it != DFTs.end();it++)
{
(*it)->Evaluate(real, imag);
}
};
void PrimeFactorDFT::InverseFFT(Data* real, Data *imag)
{
for (std::vector<BasicDFT*>::const_iterator it = DFTs.begin();it != DFTs.end();it++)
{
(*it)->Evaluate(imag, real);
}
};
void PrimeFactorDFT::ScaledInverseFFT(Data* real, Data *imag)
{
for (std::vector<BasicDFT*>::const_iterator it = DFTs.begin();it != DFTs.end();it++)
{
(*it)->Evaluate(imag, real);
}
for (uint i = 0; i < state; i++)
{
real[i] /= state;
imag[i] /= state;
}
};
int PrimeFactorDFT::FindFactors(uint length, uint start, uint end, uint* LengthTable)
{
(void)start;
for(uint i = 0; i < end; i++)
if(LengthTable[i] > length) return LengthTable[i];
return 0;
}
int PrimeFactorDFT::FastCalcFactors(uint length, factorSeq& _factors)
{
unsigned int LengthTable[] = {
/* 31, 51, 70, 102, 154, 209, 310, 403, 546,
these are not used for Schönhage-Strassen when SSLIMIT is 220,
adjust to your liking */
806, 1209, 1870, 2470,
3705, 5005, 7106, 10013, 15314, 22971, 38285, 53599, 84227, 130169,
202895, 300390, 452166, 680295, 1051365, 1542002, 2102730, 3537534,
5275270, 7159295, 10023013, 14318590, 20046026, 30069039, 42955770,
60138078, 100230130, 150345195, 300690390 };
uint actualLength = 0;
actualLength = FindFactors(length, 0, (sizeof(LengthTable) / sizeof(LengthTable[0])), LengthTable);
_factors.clear();
if ((actualLength % 2 )== 0) _factors.push_back(2);
if ((actualLength % 3) == 0) _factors.push_back(3);
if ((actualLength % 5) == 0) _factors.push_back(5);
if ((actualLength % 7) == 0) _factors.push_back(7);
if ((actualLength % 11) == 0) _factors.push_back(11);
if ((actualLength % 13) == 0) _factors.push_back(13);
if ((actualLength % 17) == 0) _factors.push_back(17);
if ((actualLength % 19) == 0) _factors.push_back(19);
if ((actualLength % 31) == 0) _factors.push_back(31);
return actualLength;
}
int PrimeFactorDFT::CalcFactors(uint length, factorSeq& _factors, int factorCount)
{
std::list<unsigned int> lengthList;
for (int ix = 0; ix < 512; ix++) {
int hw = 0;
if (factorCount) {
int it = ix;
while (it) {
it = it & (it - 1);
hw++;
}
}
if (factorCount && (hw > factorCount)) continue;
uint tlength = 1;
if (ix & 1) tlength *= 2;
if (ix & 2) tlength *= 3;
if (ix & 4) tlength *= 5;
if (ix & 8) tlength *= 7;
if (ix & 16) tlength *= 11;
if (ix & 32) tlength *= 13;
if (ix & 64) tlength *= 17;
if (ix & 128) tlength *= 19;
if (ix & 256) tlength *= 31;
lengthList.push_back(tlength);
}
lengthList.sort();
uint actualLength = 0;
for (std::list<unsigned int>::const_iterator ibegin = lengthList.begin(); 1; ibegin++)
if (ibegin == lengthList.end()) return -1;
else if (*ibegin >= length)
{
actualLength = *ibegin;
break;
}
_factors.clear();
if ((actualLength % 2) == 0) _factors.push_back(2);
if ((actualLength % 3) == 0) _factors.push_back(3);
if ((actualLength % 5) == 0) _factors.push_back(5);
if ((actualLength % 7) == 0) _factors.push_back(7);
if ((actualLength % 11) == 0) _factors.push_back(11);
if ((actualLength % 13) == 0) _factors.push_back(13);
if ((actualLength % 17) == 0) _factors.push_back(17);
if ((actualLength % 19) == 0) _factors.push_back(19);
if ((actualLength % 31) == 0) _factors.push_back(31);
return actualLength;
}
/*
Code from Temperton
Algebraically the rotation for a factor is the multiplicative inverse of N/factor mod factor
for N = 5040 9 x 560 560 mod 9 == 2 and 2 x 5 = 1 mod 9 so rotation is 5 for the length 9 DFT
16 x 315 315 mod 16 == 11 and 3 x 11 = 1 mod 16 so rotation is 3 for the length 16 DFT
5 x 1008 1008 mod 5 == 3 and 2 x 3 = 1 mod 5 so rotation is 2 for the length 5 DFT
7 x 720 720 mod 7 == 6 and 6 x 6 = 1 mod 7 so rotation is 6 for the length 7 DFT
The code below is (almost) the original Fortran IV code from Temperton. (Fortran indexes from 1 !)
*/
void PrimeFactorDFT::InitRotations()
{
int N = 1;
Rotations.clear();
for (factorSeq::const_iterator cit = factors.begin(); cit != factors.end(); cit++) N = *cit * N;
for (factorSeq::const_iterator cit = factors.begin(); cit != factors.end(); cit++) {
int IFAC = (int)*cit;
int M = N / IFAC;
int MU = 0;
int MM = 0;
for (int J = 1; J < IFAC; J++)
{
MU = J;
MM = J * M;
if (MM % IFAC == 1)
{
Rotations.push_back(MU);
break;
}
}
}
}
void PrimeFactorDFT::InitIndices(std::vector<s64>& indices, int fftlength, s64 length)
{
indices.clear();
indices.resize(fftlength);
s64 offset = 0;
while (offset < length)
{
indices[offset % fftlength] = offset;
offset += (length / fftlength);
}
}
void DFT2::Evaluate(Data *real, Data *imag)
{
std::vector<s64> ind = indices;
for (int i = 0; i < count; i++)
{
Data t1real = real[ind[0]] + real[ind[1]];
Data t1imag = imag[ind[0]] + imag[ind[1]];
Data t2real = real[ind[0]] - real[ind[1]];
Data t2imag = imag[ind[0]] - imag[ind[1]];
real[ind[0]] = t1real;
imag[ind[0]] = t1imag;
real[ind[1]] = t2real;
imag[ind[1]] = t2imag;
//
// CRT mapping.
//
IncIndices(ind);
}
}
#undef FFTLENGTH
#define FFTLENGTH 3
void DFT3::Evaluate(Data* real, Data *imag)
{
Data real_x[FFTLENGTH];
Data imag_x[FFTLENGTH];
Data real_y[FFTLENGTH];
Data imag_y[FFTLENGTH];
Data real_v[FFTLENGTH];
Data imag_v[FFTLENGTH];
std::vector<s64> ind = indices;
for (int i = 0; i < count; i++)
{
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real[ind[px]];
imag_x[px] = imag[ind[px]];
}
/* input permuation is void */
//
// DFT length 3
//
/* KRED */ /* KRED entry */
/* RED */ /* RED entry p 2 a 1 c 1 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[2];
/* RED */ imag_v[1] += imag_x[2];
/* RED */ real_v[2] = real_x[1] - real_x[2];
/* RED */ imag_v[2] = imag_x[1] - imag_x[2];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ /* RED exit */
/* KRED */ /* KRED exit */
/* ADD */ real_y[0] = real_x[0] + real_x[1];
/* ADD */ imag_y[0] = imag_x[0] + imag_x[1];
/* MULre */ real_y[1] = real_x[1] * u[0];
/* MULre */ imag_y[1] = imag_x[1] * u[0];
/* MULim */ real_y[2] = -1 * imag_x[2] * u[1];
/* MULim */ imag_y[2] = real_x[2] * u[1];
/* ADD */ real_y[1] = real_y[0] + real_y[1];
/* ADD */ imag_y[1] = imag_y[0] + imag_y[1];
/* KRED */ /* tKRED entry */
/* tRED */ /* tRED entry p 2 a 1 c 1 */
/* tRED */ real_v[2] = real_y[1];
/* tRED */ imag_v[2] = imag_y[1];
/* tRED */ real_v[1] = real_y[1] + real_y[2];
/* tRED */ imag_v[1] = imag_y[1] + imag_y[2];
/* tRED */ real_v[2] -= real_y[2];
/* tRED */ imag_v[2] -= imag_y[2];
/* tRED */ real_y[1] = real_v[1];
/* tRED */ imag_y[1] = imag_v[1];
/* tRED */ real_y[2] = real_v[2];
/* tRED */ imag_y[2] = imag_v[2];
/* tRED */ /* tRED exit */
/* KRED */ /* tKRED exit */
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[active_op[px]];
imag_x[px] = imag_y[active_op[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real[ind[px]] = real_x[px];
imag[ind[px]] = imag_x[px];
}
//
// CRT mapping.
//
IncIndices(ind);
}
}
#undef FFTLENGTH
#define FFTLENGTH 5
void DFT5::Evaluate(Data* real, Data* imag)
{
Data real_x[FFTLENGTH];
Data imag_x[FFTLENGTH];
Data real_v[FFTLENGTH];
Data imag_v[FFTLENGTH];
Data real_y[FFTLENGTH];
Data imag_y[FFTLENGTH];
Data real_t, imag_t;
std::vector<s64> ind = indices;
for (int i = 0; i < count; i++)
{
for (int px = 0; px < FFTLENGTH; px++) {
real_y[px] = real[ind[px]];
imag_y[px] = imag[ind[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[ip[px]];
imag_x[px] = imag_y[ip[px]];
}
//
// DFT length 5
//
/* KRED */ /* KRED entry */
/* RED */ /* RED entry p 2 a 1 c 2 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[3];
/* RED */ imag_v[1] += imag_x[3];
/* RED */ real_v[3] = real_x[1] - real_x[3];
/* RED */ imag_v[3] = imag_x[1] - imag_x[3];
/* RED */ real_v[2] = real_x[2];
/* RED */ imag_v[2] = imag_x[2];
/* RED */ real_v[2] += real_x[4];
/* RED */ imag_v[2] += imag_x[4];
/* RED */ real_v[4] = real_x[2] - real_x[4];
/* RED */ imag_v[4] = imag_x[2] - imag_x[4];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ real_x[3] = real_v[3];
/* RED */ imag_x[3] = imag_v[3];
/* RED */ real_x[4] = real_v[4];
/* RED */ imag_x[4] = imag_v[4];
/* RED */ /* RED exit */
/* RED */ /* RED entry p 2 a 1 c 1 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[2];
/* RED */ imag_v[1] += imag_x[2];
/* RED */ real_v[2] = real_x[1] - real_x[2];
/* RED */ imag_v[2] = imag_x[1] - imag_x[2];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ /* RED exit */
/* KRED */ /* KRED exit */
/* ADD */ real_y[0] = real_x[0] + real_x[1];
/* ADD */ imag_y[0] = imag_x[0] + imag_x[1];
/* MULre */ real_y[1] = real_x[1] * u[0];
/* MULre */ imag_y[1] = imag_x[1] * u[0];
/* MULre */ real_y[2] = real_x[2] * u[1];
/* MULre */ imag_y[2] = imag_x[2] * u[1];
/* ID2I */ /* Entry m = 1 n = 1 */
/* D2 */ real_v[0] = real_x[3];
/* D2 */ imag_v[0] = imag_x[3];
/* D2 */ real_v[1] = real_x[4];
/* D2 */ imag_v[1] = imag_x[4];
/* D2 */ real_v[2] = real_x[3] + real_x[4];
/* D2 */ imag_v[2] = imag_x[3] + imag_x[4];
/* ID2I */ /* Exit */
/* IMAG */ real_t = -1.0 * imag_v[0] * u[2];
/* IMAG */ imag_t = real_v[0] * u[2];
/* IMAG */ real_v[0] = real_t;
/* IMAG */ imag_v[0] = imag_t;
/* IMAG */ real_t = -1.0 * imag_v[1] * u[3];
/* IMAG */ imag_t = real_v[1] * u[3];
/* IMAG */ real_v[1] = real_t;
/* IMAG */ imag_v[1] = imag_t;
/* IMAG */ real_t = -1.0 * imag_v[2] * u[4];
/* IMAG */ imag_t = real_v[2] * u[4];
/* IMAG */ real_v[2] = real_t;
/* IMAG */ imag_v[2] = imag_t;
/* ID2It */ /* Entry m = 1 n = 1 */
/* D2t */ real_y[3] = real_v[0] + real_v[2];
/* D2t */ imag_y[3] = imag_v[0] + imag_v[2];
/* D2t */ real_y[4] = real_v[1] + real_v[2];
/* D2t */ imag_y[4] = imag_v[1] + imag_v[2];
/* ID2It */ /* Exit */
/* ADD */ real_y[1] = real_y[0] + real_y[1];
/* ADD */ imag_y[1] = imag_y[0] + imag_y[1];
/* tKRED */ /* tKRED entry */
/* tRED */ /* tRED entry p 2 a 1 c 1 */
/* tRED */ real_v[2] = real_y[1];
/* tRED */ imag_v[2] = imag_y[1];
/* tRED */ real_v[1] = real_y[1] + real_y[2];
/* tRED */ imag_v[1] = imag_y[1] + imag_y[2];
/* tRED */ real_v[2] -= real_y[2];
/* tRED */ imag_v[2] -= imag_y[2];
/* tRED */ real_y[1] = real_v[1];
/* tRED */ imag_y[1] = imag_v[1];
/* tRED */ real_y[2] = real_v[2];
/* tRED */ imag_y[2] = imag_v[2];
/* tRED */ /* tRED exit */
/* tRED */ /* tRED entry p 2 a 1 c 2 */
/* tRED */ real_v[3] = real_y[1];
/* tRED */ imag_v[3] = imag_y[1];
/* tRED */ real_v[1] = real_y[1] + real_y[3];
/* tRED */ imag_v[1] = imag_y[1] + imag_y[3];
/* tRED */ real_v[3] -= real_y[3];
/* tRED */ imag_v[3] -= imag_y[3];
/* tRED */ real_v[4] = real_y[2];
/* tRED */ imag_v[4] = imag_y[2];
/* tRED */ real_v[2] = real_y[2] + real_y[4];
/* tRED */ imag_v[2] = imag_y[2] + imag_y[4];
/* tRED */ real_v[4] -= real_y[4];
/* tRED */ imag_v[4] -= imag_y[4];
/* tRED */ real_y[1] = real_v[1];
/* tRED */ imag_y[1] = imag_v[1];
/* tRED */ real_y[2] = real_v[2];
/* tRED */ imag_y[2] = imag_v[2];
/* tRED */ real_y[3] = real_v[3];
/* tRED */ imag_y[3] = imag_v[3];
/* tRED */ real_y[4] = real_v[4];
/* tRED */ imag_y[4] = imag_v[4];
/* tRED */ /* tRED exit */
/* tKRED */ /* tKRED exit */
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[active_op[px]];
imag_x[px] = imag_y[active_op[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real[ind[px]] = real_x[px];
imag[ind[px]] = imag_x[px];
}
//
// CRT mapping.
//
IncIndices(ind);
}
}
#undef FFTLENGTH
#define FFTLENGTH 7
void DFT7::Evaluate(Data* real, Data* imag)
{
Data real_x[FFTLENGTH];
Data imag_x[FFTLENGTH];
Data real_v[FFTLENGTH];
Data imag_v[FFTLENGTH];
Data real_v1[FFTLENGTH];
Data imag_v1[FFTLENGTH];
Data real_y[FFTLENGTH];
Data imag_y[FFTLENGTH];
Data real_t, imag_t;
std::vector<s64> ind = indices;
for (int i = 0; i < count; i++)
{
for (int px = 0; px < FFTLENGTH; px++) {
real_y[px] = real[ind[px]];
imag_y[px] = imag[ind[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[ip[px]];
imag_x[px] = imag_y[ip[px]];
}
//
// DFT length 7
//
/* KRED */ /* KRED entry */
/* RED */ /* RED entry p 2 a 1 c 3 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[4];
/* RED */ imag_v[1] += imag_x[4];
/* RED */ real_v[4] = real_x[1] - real_x[4];
/* RED */ imag_v[4] = imag_x[1] - imag_x[4];
/* RED */ real_v[2] = real_x[2];
/* RED */ imag_v[2] = imag_x[2];
/* RED */ real_v[2] += real_x[5];
/* RED */ imag_v[2] += imag_x[5];
/* RED */ real_v[5] = real_x[2] - real_x[5];
/* RED */ imag_v[5] = imag_x[2] - imag_x[5];
/* RED */ real_v[3] = real_x[3];
/* RED */ imag_v[3] = imag_x[3];
/* RED */ real_v[3] += real_x[6];
/* RED */ imag_v[3] += imag_x[6];
/* RED */ real_v[6] = real_x[3] - real_x[6];
/* RED */ imag_v[6] = imag_x[3] - imag_x[6];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ real_x[3] = real_v[3];
/* RED */ imag_x[3] = imag_v[3];
/* RED */ real_x[4] = real_v[4];
/* RED */ imag_x[4] = imag_v[4];
/* RED */ real_x[5] = real_v[5];
/* RED */ imag_x[5] = imag_v[5];
/* RED */ real_x[6] = real_v[6];
/* RED */ imag_x[6] = imag_v[6];
/* RED */ /* RED exit */
/* RED */ /* RED entry p 3 a 2 c 1 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[2];
/* RED */ imag_v[1] += imag_x[2];
/* RED */ real_v[3] = real_x[1] - real_x[3];
/* RED */ imag_v[3] = imag_x[1] - imag_x[3];
/* RED */ real_v[1] += real_x[3];
/* RED */ imag_v[1] += imag_x[3];
/* RED */ real_v[4] = real_x[2] - real_x[3];
/* RED */ imag_v[4] = imag_x[2] - imag_x[3];
/* RED */ real_v[2] = real_x[4];
/* RED */ imag_v[2] = imag_x[4];
/* RED */ real_v[2] += real_x[5];
/* RED */ imag_v[2] += imag_x[5];
/* RED */ real_v[5] = real_x[4] - real_x[6];
/* RED */ imag_v[5] = imag_x[4] - imag_x[6];
/* RED */ real_v[2] += real_x[6];
/* RED */ imag_v[2] += imag_x[6];
/* RED */ real_v[6] = real_x[5] - real_x[6];
/* RED */ imag_v[6] = imag_x[5] - imag_x[6];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ real_x[3] = real_v[3];
/* RED */ imag_x[3] = imag_v[3];
/* RED */ real_x[4] = real_v[4];
/* RED */ imag_x[4] = imag_v[4];
/* RED */ real_x[5] = real_v[5];
/* RED */ imag_x[5] = imag_v[5];
/* RED */ real_x[6] = real_v[6];
/* RED */ imag_x[6] = imag_v[6];
/* RED */ /* RED exit */
/* KRED */ /* KRED exit */
/* ADD */ real_y[0] = real_x[0] + real_x[1];
/* ADD */ imag_y[0] = imag_x[0] + imag_x[1];
/* MULre */ real_y[1] = real_x[1] * u[0];
/* MULre */ imag_y[1] = imag_x[1] * u[0];
/* MULim */ real_y[2] = -1 * imag_x[2] * u[1];
/* MULim */ imag_y[2] = real_x[2] * u[1];
/* ID2I */ /* Entry m = 1 n = 1 */
/* D2 */ real_v[0] = real_x[3];
/* D2 */ imag_v[0] = imag_x[3];
/* D2 */ real_v[1] = real_x[4];
/* D2 */ imag_v[1] = imag_x[4];
/* D2 */ real_v[2] = real_x[3] + real_x[4];
/* D2 */ imag_v[2] = imag_x[3] + imag_x[4];
/* ID2I */ /* Exit */
/* REAL */ real_v[0] = real_v[0] * u[2];
/* REAL */ imag_v[0] = imag_v[0] * u[2];
/* REAL */ real_v[1] = real_v[1] * u[3];
/* REAL */ imag_v[1] = imag_v[1] * u[3];
/* REAL */ real_v[2] = real_v[2] * u[4];
/* REAL */ imag_v[2] = imag_v[2] * u[4];
/* ID2It */ /* Entry m = 1 n = 1 */
/* D2t */ real_y[3] = real_v[0] + real_v[2];
/* D2t */ imag_y[3] = imag_v[0] + imag_v[2];
/* D2t */ real_y[4] = real_v[1] + real_v[2];
/* D2t */ imag_y[4] = imag_v[1] + imag_v[2];
/* ID2It */ /* Exit */
/* ID2I */ /* Entry m = 1 n = 1 */
/* D2 */ real_v1[0] = real_v[5];
/* D2 */ imag_v1[0] = imag_v[5];
/* D2 */ real_v1[1] = real_v[6];
/* D2 */ imag_v1[1] = imag_v[6];
/* D2 */ real_v1[2] = real_v[5] + real_v[6];
/* D2 */ imag_v1[2] = imag_v[5] + imag_v[6];
/* ID2I */ /* Exit */
/* IMAG */ real_t = -1.0 * imag_v1[0] * u[5];
/* IMAG */ imag_t = real_v1[0] * u[5];
/* IMAG */ real_v1[0] = real_t;
/* IMAG */ imag_v1[0] = imag_t;
/* IMAG */ real_t = -1.0 * imag_v1[1] * u[6];
/* IMAG */ imag_t = real_v1[1] * u[6];
/* IMAG */ real_v1[1] = real_t;
/* IMAG */ imag_v1[1] = imag_t;
/* IMAG */ real_t = -1.0 * imag_v1[2] * u[7];
/* IMAG */ imag_t = real_v1[2] * u[7];
/* IMAG */ real_v1[2] = real_t;
/* IMAG */ imag_v1[2] = imag_t;
/* ID2It */ /* Entry m = 1 n = 1 */
/* D2t */ real_y[5] = real_v1[0] + real_v1[2];
/* D2t */ imag_y[5] = imag_v1[0] + imag_v1[2];
/* D2t */ real_y[6] = real_v1[1] + real_v1[2];
/* D2t */ imag_y[6] = imag_v1[1] + imag_v1[2];
/* ID2It */ /* Exit */
/* ADD */ real_y[1] = real_y[0] + real_y[1];
/* ADD */ imag_y[1] = imag_y[0] + imag_y[1];
/* tKRED */ /* tKRED entry */
/* tRED */ /* tRED entry p 3 a 2 c 1 */
/* tRED */ real_v[3] = real_y[1];
/* tRED */ imag_v[3] = imag_y[1];
/* tRED */ real_v[1] = real_y[1] + real_y[3];
/* tRED */ imag_v[1] = imag_y[1] + imag_y[3];
/* tRED */ real_v[3] -= real_y[3];
/* tRED */ imag_v[3] -= imag_y[3];
/* tRED */ real_v[2] = real_y[1] + real_y[4];
/* tRED */ imag_v[2] = imag_y[1] + imag_y[4];
/* tRED */ real_v[3] -= real_y[4];
/* tRED */ imag_v[3] -= imag_y[4];
/* tRED */ real_v[6] = real_y[2];
/* tRED */ imag_v[6] = imag_y[2];
/* tRED */ real_v[4] = real_y[2] + real_y[5];
/* tRED */ imag_v[4] = imag_y[2] + imag_y[5];
/* tRED */ real_v[6] -= real_y[5];
/* tRED */ imag_v[6] -= imag_y[5];
/* tRED */ real_v[5] = real_y[2] + real_y[6];
/* tRED */ imag_v[5] = imag_y[2] + imag_y[6];
/* tRED */ real_v[6] -= real_y[6];
/* tRED */ imag_v[6] -= imag_y[6];
/* tRED */ real_y[1] = real_v[1];
/* tRED */ imag_y[1] = imag_v[1];
/* tRED */ real_y[2] = real_v[2];
/* tRED */ imag_y[2] = imag_v[2];
/* tRED */ real_y[3] = real_v[3];
/* tRED */ imag_y[3] = imag_v[3];
/* tRED */ real_y[4] = real_v[4];
/* tRED */ imag_y[4] = imag_v[4];
/* tRED */ real_y[5] = real_v[5];
/* tRED */ imag_y[5] = imag_v[5];
/* tRED */ real_y[6] = real_v[6];
/* tRED */ imag_y[6] = imag_v[6];
/* tRED */ /* tRED exit */
/* tRED */ /* tRED entry p 2 a 1 c 3 */
/* tRED */ real_v[4] = real_y[1];
/* tRED */ imag_v[4] = imag_y[1];
/* tRED */ real_v[1] = real_y[1] + real_y[4];
/* tRED */ imag_v[1] = imag_y[1] + imag_y[4];
/* tRED */ real_v[4] -= real_y[4];
/* tRED */ imag_v[4] -= imag_y[4];
/* tRED */ real_v[5] = real_y[2];
/* tRED */ imag_v[5] = imag_y[2];
/* tRED */ real_v[2] = real_y[2] + real_y[5];
/* tRED */ imag_v[2] = imag_y[2] + imag_y[5];
/* tRED */ real_v[5] -= real_y[5];
/* tRED */ imag_v[5] -= imag_y[5];
/* tRED */ real_v[6] = real_y[3];
/* tRED */ imag_v[6] = imag_y[3];
/* tRED */ real_v[3] = real_y[3] + real_y[6];
/* tRED */ imag_v[3] = imag_y[3] + imag_y[6];
/* tRED */ real_v[6] -= real_y[6];
/* tRED */ imag_v[6] -= imag_y[6];
/* tRED */ real_y[1] = real_v[1];
/* tRED */ imag_y[1] = imag_v[1];
/* tRED */ real_y[2] = real_v[2];
/* tRED */ imag_y[2] = imag_v[2];
/* tRED */ real_y[3] = real_v[3];
/* tRED */ imag_y[3] = imag_v[3];
/* tRED */ real_y[4] = real_v[4];
/* tRED */ imag_y[4] = imag_v[4];
/* tRED */ real_y[5] = real_v[5];
/* tRED */ imag_y[5] = imag_v[5];
/* tRED */ real_y[6] = real_v[6];
/* tRED */ imag_y[6] = imag_v[6];
/* tRED */ /* tRED exit */
/* tKRED */ /* tKRED exit */
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[active_op[px]];
imag_x[px] = imag_y[active_op[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real[ind[px]] = real_x[px];
imag[ind[px]] = imag_x[px];
}
//
// CRT mapping.
//
IncIndices(ind);
}
}
#undef FFTLENGTH
#define FFTLENGTH 11
void DFT11::Evaluate(Data* real, Data* imag)
{
std::vector<s64> ind = indices;
Data real_x[FFTLENGTH];
Data imag_x[FFTLENGTH];
Data real_v[FFTLENGTH];
Data imag_v[FFTLENGTH];
Data real_v1[FFTLENGTH];
Data imag_v1[FFTLENGTH];
Data real_y[FFTLENGTH];
Data imag_y[FFTLENGTH];
Data real_t, imag_t;
for (int i = 0; i < count; i++)
{
/// OBS OBS mangler rotatation lige nu
for (int px = 0; px < FFTLENGTH; px++) {
real_y[px] = real[ind[px]];
imag_y[px] = imag[ind[px]];
}
for (int px = 0; px < FFTLENGTH; px++) {
real_x[px] = real_y[ip[px]];
imag_x[px] = imag_y[ip[px]];
}
//
// DFT length 11
//
//EVALUATEDFT(11);
/* KRED */ /* KRED entry */
/* RED */ /* RED entry p 2 a 1 c 5 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[6];
/* RED */ imag_v[1] += imag_x[6];
/* RED */ real_v[6] = real_x[1] - real_x[6];
/* RED */ imag_v[6] = imag_x[1] - imag_x[6];
/* RED */ real_v[2] = real_x[2];
/* RED */ imag_v[2] = imag_x[2];
/* RED */ real_v[2] += real_x[7];
/* RED */ imag_v[2] += imag_x[7];
/* RED */ real_v[7] = real_x[2] - real_x[7];
/* RED */ imag_v[7] = imag_x[2] - imag_x[7];
/* RED */ real_v[3] = real_x[3];
/* RED */ imag_v[3] = imag_x[3];
/* RED */ real_v[3] += real_x[8];
/* RED */ imag_v[3] += imag_x[8];
/* RED */ real_v[8] = real_x[3] - real_x[8];
/* RED */ imag_v[8] = imag_x[3] - imag_x[8];
/* RED */ real_v[4] = real_x[4];
/* RED */ imag_v[4] = imag_x[4];
/* RED */ real_v[4] += real_x[9];
/* RED */ imag_v[4] += imag_x[9];
/* RED */ real_v[9] = real_x[4] - real_x[9];
/* RED */ imag_v[9] = imag_x[4] - imag_x[9];
/* RED */ real_v[5] = real_x[5];
/* RED */ imag_v[5] = imag_x[5];
/* RED */ real_v[5] += real_x[10];
/* RED */ imag_v[5] += imag_x[10];
/* RED */ real_v[10] = real_x[5] - real_x[10];
/* RED */ imag_v[10] = imag_x[5] - imag_x[10];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ real_x[3] = real_v[3];
/* RED */ imag_x[3] = imag_v[3];
/* RED */ real_x[4] = real_v[4];
/* RED */ imag_x[4] = imag_v[4];
/* RED */ real_x[5] = real_v[5];
/* RED */ imag_x[5] = imag_v[5];
/* RED */ real_x[6] = real_v[6];
/* RED */ imag_x[6] = imag_v[6];
/* RED */ real_x[7] = real_v[7];
/* RED */ imag_x[7] = imag_v[7];
/* RED */ real_x[8] = real_v[8];
/* RED */ imag_x[8] = imag_v[8];
/* RED */ real_x[9] = real_v[9];
/* RED */ imag_x[9] = imag_v[9];
/* RED */ real_x[10] = real_v[10];
/* RED */ imag_x[10] = imag_v[10];
/* RED */ /* RED exit */
/* RED */ /* RED entry p 5 a 2 c 1 */
/* RED */ real_v[1] = real_x[1];
/* RED */ imag_v[1] = imag_x[1];
/* RED */ real_v[1] += real_x[2];
/* RED */ imag_v[1] += imag_x[2];
/* RED */ real_v[3] = real_x[1] - real_x[5];
/* RED */ imag_v[3] = imag_x[1] - imag_x[5];
/* RED */ real_v[1] += real_x[3];
/* RED */ imag_v[1] += imag_x[3];
/* RED */ real_v[4] = real_x[2] - real_x[5];
/* RED */ imag_v[4] = imag_x[2] - imag_x[5];
/* RED */ real_v[1] += real_x[4];
/* RED */ imag_v[1] += imag_x[4];
/* RED */ real_v[5] = real_x[3] - real_x[5];
/* RED */ imag_v[5] = imag_x[3] - imag_x[5];
/* RED */ real_v[1] += real_x[5];
/* RED */ imag_v[1] += imag_x[5];
/* RED */ real_v[6] = real_x[4] - real_x[5];
/* RED */ imag_v[6] = imag_x[4] - imag_x[5];
/* RED */ real_v[2] = real_x[6];
/* RED */ imag_v[2] = imag_x[6];
/* RED */ real_v[2] += real_x[7];
/* RED */ imag_v[2] += imag_x[7];
/* RED */ real_v[7] = real_x[6] - real_x[10];
/* RED */ imag_v[7] = imag_x[6] - imag_x[10];
/* RED */ real_v[2] += real_x[8];
/* RED */ imag_v[2] += imag_x[8];
/* RED */ real_v[8] = real_x[7] - real_x[10];
/* RED */ imag_v[8] = imag_x[7] - imag_x[10];
/* RED */ real_v[2] += real_x[9];
/* RED */ imag_v[2] += imag_x[9];
/* RED */ real_v[9] = real_x[8] - real_x[10];
/* RED */ imag_v[9] = imag_x[8] - imag_x[10];
/* RED */ real_v[2] += real_x[10];
/* RED */ imag_v[2] += imag_x[10];
/* RED */ real_v[10] = real_x[9] - real_x[10];
/* RED */ imag_v[10] = imag_x[9] - imag_x[10];
/* RED */ real_x[1] = real_v[1];
/* RED */ imag_x[1] = imag_v[1];
/* RED */ real_x[2] = real_v[2];
/* RED */ imag_x[2] = imag_v[2];
/* RED */ real_x[3] = real_v[3];
/* RED */ imag_x[3] = imag_v[3];
/* RED */ real_x[4] = real_v[4];
/* RED */ imag_x[4] = imag_v[4];
/* RED */ real_x[5] = real_v[5];
/* RED */ imag_x[5] = imag_v[5];
/* RED */ real_x[6] = real_v[6];
/* RED */ imag_x[6] = imag_v[6];
/* RED */ real_x[7] = real_v[7];
/* RED */ imag_x[7] = imag_v[7];
/* RED */ real_x[8] = real_v[8];
/* RED */ imag_x[8] = imag_v[8];
/* RED */ real_x[9] = real_v[9];
/* RED */ imag_x[9] = imag_v[9];
/* RED */ real_x[10] = real_v[10];
/* RED */ imag_x[10] = imag_v[10];
/* RED */ /* RED exit */
/* KRED */ /* KRED exit */
/* ADD */ real_y[0] = real_x[0] + real_x[1];
/* ADD */ imag_y[0] = imag_x[0] + imag_x[1];
/* MULre */ real_y[1] = real_x[1] * u[0];
/* MULre */ imag_y[1] = imag_x[1] * u[0];
/* MULim */ real_y[2] = -1 * imag_x[2] * u[1];
/* MULim */ imag_y[2] = real_x[2] * u[1];
/* ID2I */ /* Entry m = 1 n = 2 */
/* D2 */ real_v[0] = real_x[3];
/* D2 */ imag_v[0] = imag_x[3];
/* D2 */ real_v[2] = real_x[5];
/* D2 */ imag_v[2] = imag_x[5];
/* D2 */ real_v[4] = real_x[3] + real_x[5];
/* D2 */ imag_v[4] = imag_x[3] + imag_x[5];
/* D2 */ real_v[1] = real_x[4];
/* D2 */ imag_v[1] = imag_x[4];
/* D2 */ real_v[3] = real_x[6];
/* D2 */ imag_v[3] = imag_x[6];
/* D2 */ real_v[5] = real_x[4] + real_x[6];
/* D2 */ imag_v[5] = imag_x[4] + imag_x[6];
/* ID2I */ /* Exit */
/* ID2I */ /* Entry m = 3 n = 1 */
/* D2 */ real_v1[0] = real_v[0];
/* D2 */ imag_v1[0] = imag_v[0];
/* D2 */ real_v1[1] = real_v[1];
/* D2 */ imag_v1[1] = imag_v[1];
/* D2 */ real_v1[2] = real_v[0] + real_v[1];
/* D2 */ imag_v1[2] = imag_v[0] + imag_v[1];
/* D2 */ real_v1[3] = real_v[2];
/* D2 */ imag_v1[3] = imag_v[2];
/* D2 */ real_v1[4] = real_v[3];
/* D2 */ imag_v1[4] = imag_v[3];
/* D2 */ real_v1[5] = real_v[2] + real_v[3];
/* D2 */ imag_v1[5] = imag_v[2] + imag_v[3];
/* D2 */ real_v1[6] = real_v[4];
/* D2 */ imag_v1[6] = imag_v[4];
/* D2 */ real_v1[7] = real_v[5];
/* D2 */ imag_v1[7] = imag_v[5];
/* D2 */ real_v1[8] = real_v[4] + real_v[5];
/* D2 */ imag_v1[8] = imag_v[4] + imag_v[5];
/* ID2I */ /* Exit */
/* REAL */ real_v1[0] = real_v1[0] * u[2];
/* REAL */ imag_v1[0] = imag_v1[0] * u[2];
/* REAL */ real_v1[1] = real_v1[1] * u[3];
/* REAL */ imag_v1[1] = imag_v1[1] * u[3];
/* REAL */ real_v1[2] = real_v1[2] * u[4];
/* REAL */ imag_v1[2] = imag_v1[2] * u[4];
/* REAL */ real_v1[3] = real_v1[3] * u[5];
/* REAL */ imag_v1[3] = imag_v1[3] * u[5];