inverse fourier transform iDFT ifft 4 methods in open office + something extra
http://www.mediafire.com/file/hyz4dbski4w00pb/inverse+fourier+transform+iDFT+ifft+4+methods+in+open+office+++something+extra.ods
http://www.mediafire.com/file/59bpnci966ulec9/DFT+FFT+RADIX-2+DIT+algorytm+Transformacja+Fouriera+analitycznie+v3.4.xlsx
wtorek, 24 października 2017
niedziela, 30 lipca 2017
czwartek, 29 czerwca 2017
universal mixed radix-2-3-4-5-7-11 inverse iFFT standard version c++ source code
//universal mixed radix-2-3-4-5-7-11 inverse iFFT standard version c++ source code
https://github.com/rewertynpl/mixedFFT
wtorek, 27 czerwca 2017
quicker version? universal program for mixed radix fast fourier transform FFT radix-11 * radix-7 * radix-5 * radix-4 * radix-3 * radix-2 for N= points algorithm example implementation source code c++ , + inverse table
//quicker version? universal program for mixed radix fast fourier transform FFT radix-11 * radix-7 * radix-5 * radix-4 * radix-3 * radix-2 for N= points algorithm example implementation source code c++ , + inverse table
//mixed radix-11 , radix-7 , radix-5 , radix-4 , radix-3 , radix-2 FFT is 2 times quicker that previous version because it calculates FFT witch tables instead of complex number objects??
//working sound analysis program for windows 8.1, v 1.01
//source:
//https://www.google.ch/patents/US6957241
//http://www.google.ch/patents/US20020083107
//https://www.beechwood.eu/fft-implementation-r2-dit-r4-dif-r8-dif/
//http://www.cmlab.csie.ntu.edu.tw/cml/dsp/training/coding/transform/fft.html
//http://dsp.stackexchange.com/questions/3481/radix-4-fft-implementation
//https://community.arm.com/graphics/b/blog/posts/speeding-up-fast-fourier-transform-mixed-radix-on-mobile-arm-mali-gpu-by-means-of-opencl---part-1
//book: "Cyfrowe przetwarzanie sygnalow" - Tomasz Zielinski it has quick version of radix-2 because it calculates less sin() and cos()
//Rabiner L.R., Gold B. Theory and application of digital signal processing p 378 mixed radix
// author marcin matysek (r)ewertyn.PL
// open source
//http://mixedradixfastfouriertransformifft.blogspot.com/
#include <iostream>
#include "conio.h"
#include <stdlib.h>
#include <math.h>
#include <cmath>
#include <time.h>
#include <complex>
#include <fstream>
using namespace std;
//complex number method:
void fun_fourier_transform_FFT_radix_2_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2]);
void fun_fourier_transform_FFT_radix_3_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2]);
void fun_fourier_transform_FFT_radix_4_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2]);
void fun_fourier_transform_FFT_radix_5_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2]);
void fun_fourier_transform_FFT_radix_7_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp99,double (*z)[2]);
void fun_fourier_transform_FFT_radix_11_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp99,double (*z)[2]);
void fun_fourier_transform_FFT_radix_2_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_fourier_transform_FFT_radix_3_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_fourier_transform_FFT_radix_4_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_fourier_transform_FFT_radix_5_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_fourier_transform_FFT_radix_7_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_fourier_transform_FFT_radix_11_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2]);
void fun_inverse_table_FFT(int M,std::complex<double> tab[]);
int radix_base(int N,int stg[]);
void fun_fourier_transform_FFT_mixed_radix_for_N_1848_points(int N,std::complex<double> tab[]);
void fun_fourier_transform_DFT(int N,std::complex<double> tab[]);
////////////////////////////////////////////////////
/////////////////////
double fi=0.00;//for first stage FFT and for DFT
/////////////////////
///////////////////////////////////////////////////
int tb[600][3]={};
static double diffclock(clock_t clock2,clock_t clock1)
{
double diffticks=clock1-clock2;
double diffms=(diffticks)/(CLOCKS_PER_SEC/1000);
return diffms;
}
int main()
{
int N;
//if N==period of signal in table tab[] then resolution = 1 Hz
srand( time( NULL ) );
ifstream file1("11.txt");
ofstream file3("1.txt");
ofstream file4("2.txt");
int a1=0,b1=0;
int aaa=0;
for(int i=0;i<100;i++)
{
file1>>aaa;
file1>>aaa;
file1>>tb[i][0];
file1>>tb[i][1];
file1>>tb[i][2];
// cout<<aaa<<" "<<tb[i][0]<<" "<<tb[i][1]<<" "<<tb[i][2]<<endl;system("pause");
}
/////////////////////
N=2*2*2*2*2;
////////////////////
double c1=0,c2=0;
std::complex<double> *tab2=new std::complex<double>[N];
std::complex<double> *tab3=new std::complex<double>[N];
std::complex<double> *tab4=new std::complex<double>[N];
std::complex<double> tmp1=0;
const double pi=3.141592653589793238462;
for(int i=0;i<N;i++)
{
c1=rand()%1255/4.0;
// c1=255;
// c2=255;
c2=rand()%13591/9.0;
//c1=4*sin(1*2*pi*i/float(N));
//c2=5435*sin(21*2*pi*i/float(N));
//c1=c1+33.19*sin(7*2*pi*i/float(N));
//c2=0;
tab2[i].real(c1);
tab2[i].imag(c2);
tab3[i].real(tab2[i].real());
tab3[i].imag(tab2[i].imag());
tab4[i].real(tab2[i].real());
tab4[i].imag(tab2[i].imag());
}
double time2;
double zmienna=0;
cout<<"signal 1="<<endl;
cout<<"tab2[j].real():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab2[j].real()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
cout<<"tab2[j].imag():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab2[j].imag()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
cout<<"signal 2="<<endl;
cout<<"tab3[j].real():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].real()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
cout<<"tab3[j].imag():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].imag()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
clock_t start = clock();
cout<<"calculating first: DFT"<<endl;
start = clock();
fun_fourier_transform_DFT(N,tab3);
time2=diffclock( start, clock() );
cout<<"time: [s] "<<time2/1000<<endl;
system("pause");
//////////////////////////////////////////////////////////
cout<<"frequency Hz from DFT"<<endl;
cout<<"tab3[j].real():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].real()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;//system("pause");
cout<<"tab3[j].imag():"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].imag()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;//system("pause");
system("pause");
int mx=0;
int fg=0;
for(int i=0;i<N;i++)
{
tab2[i].real(tab4[i].real());
tab2[i].imag(tab4[i].imag());
}
cout<<"calculating: FFT"<<endl;
start = clock();
fun_fourier_transform_FFT_mixed_radix_for_N_1848_points(N,tab2);
time2=diffclock( start, clock() );
cout<<"time: [ms] "<<time2<<endl;
cout<<"inverse table"<<endl;
start = clock();
fun_inverse_table_FFT(N,tab2);
time2=diffclock( start, clock() );
cout<<"time: [ms] "<<time2<<endl;
system("pause");
///////////////////////////////////////////////////////////
/////////////////////////////////////////////////////
time2=diffclock( start, clock() );
int flag=0,fl=0;
for(int j=0;j<N;j++)
{
for(int i=0;i<N;i++)
{
//if((fabs(tab3[i].real()-tab2[j].real())<=0.03)&&fabs(tab3[0].real()-tab2[0].real())<0.03)
if((fabs(tab3[i].real()-tab2[j].real())<=0.03)&&(fabs(tab3[i].imag()-tab2[j].imag())<=0.03))
{
flag++;
/*
for(int k=0;k<N;k++)
{
if(fabs(tab3[k].real()-tab2[j].real())<=0.03)
{fl++;}
}
if(fl==1){
flag++;}
fl=0;
.*/
cout.precision(4);
//cout<<"DFT["<<i<<"]==FFT["<<j<<"]= "<<round(tab2[j].real()*1000)/1000<<" ";//system("pause");
}
else {
// cout<<-1<<" . ";//system("pause");
}
}
}
cout<<"if DFT[i]==FFT[j]"<<endl;
//cout<<"flag="<<flag<<endl;
if(flag>=N/2){
cout<<endl<<"flag= "<<flag<<endl;
fg++;
/*
cout<<"frequency Hz FFT radix-4 radix-2"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab2[j].real()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab2[j].imag()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;system("pause");
cout<<"frequency Hz DFT"<<endl;
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].real()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;system("pause");
for(int j=0;j<N;j++)
{
cout.precision(4);
cout<<round(tab3[j].imag()*1000)/1000<<" ";
}
cout<<endl;
cout<<endl;
cout<<"if radix-4 == DFT tab2[j].real(): "<<endl;system("pause");
*/
for(int j=0;j<N;j++)
{
if((j-1)%10000==0){system("pause") ;}
for(int i=0;i<N;i++)
{
//if((fabs(tab3[i].real()-tab2[j].real())<=0.03)&&fabs(tab3[0].real()-tab2[0].real())<0.03)
if((fabs(tab3[i].real()-tab2[j].real())<=0.03)&&(fabs(tab3[i].imag()-tab2[j].imag())<=0.03))
{
if(i==30){ cout<<" ... DFT["<<i<<"]==FFT["<<j<<"]= "<<round(tab2[j].real()*1000)/1000<<" "<<endl;system("pause");}
cout.precision(4);
file3<<"DFT["<<i<<"]==FFT["<<j<<"]= "<<round(tab2[j].real()*10000)/10000<<" "<<endl;;//system("pause");
cout<<"DFT["<<i<<"]==FFT["<<j<<"]= "<<round(tab2[j].real()*10000)/10000<<" "<<endl;;//system("pause");
}
else {
// cout<<-1<<" . ";//system("pause");
}
}
}
system("pause");
file3<<endl;
for(int j=0;j<N;j++)
{
for(int i=0;i<N;i++)
{
if((fabs(tab3[i].real()-tab2[j].real())<=0.03)&&fabs(tab3[0].real()-tab2[0].real())<0.03)
{
cout.precision(4);
file3<<" "<<i;//system("pause");
}
else {
// cout<<-1<<" . ";//system("pause");
}
}
}
/////////////////////////////////////////
tmp1=0;
//cout<<"tmp1"<<tmp1<<endl;
for(int i=1;i<N;i++)
{
tmp1.real(tmp1.real()+round(tab2[i].real()*100000000)/100000000);
tmp1.imag(tmp1.imag()+round(tab2[i].imag()*100000000)/100000000);
}
cout<<"tab[0] "<<tab2[0]<<endl;
cout<<"Sum "<<tmp1<<endl;
/////////////////////////////////////////
file3<<endl<<endl;
}
if(flag>mx){mx=flag;}
flag=0;
if(a1==10000000){cout<<b1<<endl;a1=0;b1++;}
a1++;
cout<<endl<<"max="<<mx<<endl; file3.close();file1.close();file4.close();
system("pause");
cout<<endl;
cout<<endl;
delete [] tab2;
delete [] tab3;
delete [] tab4;
system("pause");
return 0;
}
void fun_inverse_bits_radix_4(int N,std::complex<double> tab[])
{
//code by Sidney Burrus
//http://dsp.stackexchange.com/questions/3481/radix-4-fft-implementation
std::complex<double> t;
//N=4^a;
// Radix-4 bit-reverse
double T;
int j = 0;
int N2 = N>>2;
int M=0;
for (int i=0; i < N-1; i++) {
if (i < j) {
t = tab[i];
tab[i] = tab[j];
tab[j] = t;
}
M = N2;
while ( j >= 3*M ) {
j -= 3*M;
M >>= 2;
}
j += M;
}
}
///////////////
void fun_fourier_transform_DFT(int N,std::complex<double> tab[])
{
const double pi=3.141592653589793238462;
std::complex<double> *tab2 = new std::complex<double>[N]; // tab2[]==N
std::complex<double> w[1]={{1,1}};
double zmienna1=2*pi/(float)N;
double fi2=fi;
for (int i=0;i<N;i++)
{
for(int j=0;j<N;j++)
{
//complex number method:
w[0].real(cos(i*j*zmienna1+fi2));
w[0].imag(-sin(i*j*zmienna1+fi2));
tab2[i]=tab2[i]+tab[j]*w[0];
}
}
//new:
for(int j=0;j<N;j++)
{
tab[j].real(tab2[j].real()*2/N);
tab[j].imag(tab2[j].imag()*2/N);
}
delete tab2;
}
//////////////////
void fun_fourier_transform_FFT_mixed_radix_for_N_1848_points(int N,std::complex<double> tab[])
{
// author marcin matysek (r)ewertyn.PL 2marcin56@gmail.com
// open source
const double pi=3.141592653589793238462;
std::complex<double> *tab2 = new std::complex<double>[N]; // tab2[]==N
double tmp2;
double tmp3;
double tmp6;
double tmp7;
double tmp8;
double tmp9;
double tmp10;
double tmp11;
double fi2=fi; //shift only for stage nr 1
int i=0;
int rx5=5,rx4=4,rx3=3,rx2=2,rx7=7,rx11=11;
int stg[100]={};
int nb_stages=0;
int nb1,nb2,nb3,nb4,nb5_stg_previous,stg_first;
tmp6=2*pi/(N/1);
tmp2=2*pi/(2/1);
tmp3=2*pi/(3/1);
tmp10=2*pi/(4/1);
tmp8=2*pi/(5/1);
tmp7=2*pi/(7/1);
tmp11=2*pi/(11/1);
double z_rx2[2][2]={{}};
double z_rx3[3][2]={{}};
double z_rx4[2][2]={{}};
double z_rx5[5][2]={{}};
double z_rx7[7][2]={{}};
double z_rx11[11][2]={{}};
//radix 2 fundament
z_rx2[0][0]=cos(0*tmp2);
z_rx2[0][1]=-sin(0*tmp2);
z_rx2[1][0]=cos(1*tmp2);
z_rx2[1][1]=-sin(1*tmp2);
//radix 3 fundament
z_rx3[0][0]=cos(0*tmp3);
z_rx3[0][1]=-sin(0*tmp3);
z_rx3[1][0]=cos(1*tmp3);
z_rx3[1][1]=-sin(1*tmp3);
z_rx3[2][0]=cos(2*tmp3);
z_rx3[2][1]=-sin(2*tmp3);
//radix 4 fundament
z_rx4[0][0]=cos(0*tmp10);
z_rx4[0][1]=-sin(0*tmp10);
z_rx4[1][0]=cos(1*tmp10);
z_rx4[1][1]=-sin(1*tmp10);
//radix 5 fundament
z_rx5[0][0]=cos(0*tmp8);
z_rx5[0][1]=-sin(0*tmp8);
z_rx5[1][0]=cos(1*tmp8);
z_rx5[1][1]=-sin(1*tmp8);
z_rx5[2][0]=cos(2*tmp8);
z_rx5[2][1]=-sin(2*tmp8);
z_rx5[3][0]=cos(3*tmp8);
z_rx5[3][1]=-sin(3*tmp8);
z_rx5[4][0]=cos(4*tmp8);
z_rx5[4][1]=-sin(4*tmp8);
//radix 7 fundament
z_rx7[0][0]=cos(0*tmp7);
z_rx7[0][1]=-sin(0*tmp7);
z_rx7[1][0]=cos(1*tmp7);
z_rx7[1][1]=-sin(1*tmp7);
z_rx7[2][0]=cos(2*tmp7);
z_rx7[2][1]=-sin(2*tmp7);
z_rx7[3][0]=cos(3*tmp7);
z_rx7[3][1]=-sin(3*tmp7);
z_rx7[4][0]=cos(4*tmp7);
z_rx7[4][1]=-sin(4*tmp7);
z_rx7[5][0]=cos(5*tmp7);
z_rx7[5][1]=-sin(5*tmp7);
z_rx7[6][0]=cos(6*tmp7);
z_rx7[6][1]=-sin(6*tmp7);
//radix 11 fundament
z_rx11[0][0]= cos(0*tmp11);
z_rx11[0][1]=-sin(0*tmp11);
z_rx11[1][0]= cos(1*tmp11);
z_rx11[1][1]=-sin(1*tmp11);
z_rx11[2][0]= cos(2*tmp11);
z_rx11[2][1]=-sin(2*tmp11);
z_rx11[3][0]= cos(3*tmp11);
z_rx11[3][1]=-sin(3*tmp11);
z_rx11[4][0]= cos(4*tmp11);
z_rx11[4][1]=-sin(4*tmp11);
z_rx11[5][0]= cos(5*tmp11);
z_rx11[5][1]=-sin(5*tmp11);
z_rx11[6][0]= cos(6*tmp11);
z_rx11[6][1]=-sin(6*tmp11);
z_rx11[7][0]= cos(7*tmp11);
z_rx11[7][1]=-sin(7*tmp11);
z_rx11[8][0]= cos(8*tmp11);
z_rx11[8][1]=-sin(8*tmp11);
z_rx11[9][0]= cos(9*tmp11);
z_rx11[9][1]=-sin(9*tmp11);
z_rx11[10][0]= cos(10*tmp11);
z_rx11[10][1]=-sin(10*tmp11);
/*
for(int j=0;j<102;j++)
{
for(int i=0;i<102;i++)
{
if(((fabs(round(z_rx11[j].imag()*1000)/1000-round(z_rx11[i].imag()*1000)/1000)<0.001)
&&(fabs(round(z_rx11[j].real()*1000)/1000-round(z_rx11[i].real()*1000)/1000)<0.001))
||((fabs(round(z_rx11[j].imag()*1000)/1000+round(z_rx11[i].imag()*1000)/1000)<0.001)
&&(fabs(round(z_rx11[j].real()*1000)/1000+round(z_rx11[i].real()*1000)/1000)<0.001)))
{
cout<<j<<" "<<round(z_rx11[j].real()*1000)/1000<<" "<<round(z_rx11[j].imag()*1000)/1000<<" ";
cout<<i<<" "<<round(z_rx11[i].real()*1000)/1000<<" "<<round(z_rx11[i].imag()*1000)/1000<<endl;
}
//cout<<endl;
}
//system("pause");
}
*/
nb_stages=radix_base(N,stg);
if(nb_stages>=1){cout<<"N= "<<N<<endl;}
for(int m=1;m<=nb_stages;m++)
{
cout <<"stage:"<<m<<" = radix-"<<stg[m] << endl;
}
cout << endl;
if(nb_stages>=1)
{
stg_first=N/stg[1];
if(stg[1]==2)
{
fun_fourier_transform_FFT_radix_2_stg_first(tab,stg_first,fi2,z_rx2);
}
else if(stg[1]==3)
{
fun_fourier_transform_FFT_radix_3_stg_first(tab,stg_first,fi2,z_rx3);
}
else if(stg[1]==4)
{
fun_fourier_transform_FFT_radix_4_stg_first(tab,stg_first,fi2,z_rx4);
}
else if(stg[1]==5)
{
fun_fourier_transform_FFT_radix_5_stg_first(tab,stg_first,fi2,z_rx5);
}
else if(stg[1]==7)
{
fun_fourier_transform_FFT_radix_7_stg_first(tab,stg_first,fi2,z_rx7);
}
else if(stg[1]==11)
{
fun_fourier_transform_FFT_radix_11_stg_first(tab,stg_first,fi2,z_rx11);
}
else{}
nb1=N;
nb4=1;
for(int i=0;i<nb_stages-1;i++)
{
nb1=nb1/stg[0+i];
nb2=nb1/stg[1+i];
nb3=nb2/stg[2+i];
nb4=nb4*stg[0+i];
nb5_stg_previous=stg[1+i];
if(stg[i+2]==2)
{
fun_fourier_transform_FFT_radix_2_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx2);
}
else if(stg[i+2]==3)
{
fun_fourier_transform_FFT_radix_3_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx3);
}
else if(stg[i+2]==4)
{
fun_fourier_transform_FFT_radix_4_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx4);
}
else if(stg[i+2]==5)
{
fun_fourier_transform_FFT_radix_5_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx5);
}
else if(stg[i+2]==7)
{
fun_fourier_transform_FFT_radix_7_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx7);
}
else if(stg[i+2]==11)
{
fun_fourier_transform_FFT_radix_11_stg_rest(tab,nb1,nb2,nb3,nb4,nb5_stg_previous,tmp6,z_rx11);
}
else{}
}
}
//new:
for(int j=0;j<N;j++)
{
tab[j].real(tab[j].real()*2/N);
tab[j].imag(tab[j].imag()*2/N);
}
delete [] tab2;
}
///////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_2_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp20[2];
double w[2][2]={{}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp6;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
//w[1].imag(-sin(nb4*b*(1*nb3+j)*tmp5));
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0])-z[0][1]*(tmp1[1]+tmp2[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1])+z[0][1]*(tmp1[0]+tmp2[0]);
//radix-2
tab[nb_tmp3+0*nb3].real(tmp20[0]);
tab[nb_tmp3+0*nb3].imag(tmp20[1]);
tab[nb_tmp3+1*nb3].real(z[0][0]*tmp1[0]-z[0][1]*tmp1[1]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]);
tab[nb_tmp3+1*nb3].imag(z[0][0]*tmp1[1]+z[0][1]*tmp1[0]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]);
}
}
}
}
///////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_3_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp20[2],tmp30[2];
double w[3][2]={{}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp6;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
w[2][0]=cos(2*tmp100+tmp200);
w[2][1]=-sin(2*tmp100+tmp200);
//w[2].real(cos(nb4*b*(2*nb3+j)*tmp99));
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp3[0]=w[2][0]*tab[nb_tmp3+2*nb3].real()-w[2][1]*tab[nb_tmp3+2*nb3].imag();
tmp3[1]=w[2][0]*tab[nb_tmp3+2*nb3].imag()+w[2][1]*tab[nb_tmp3+2*nb3].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]);
//radix-3
tab[nb_tmp3+0*nb3].real(tmp20[0]);
tab[nb_tmp3+0*nb3].imag(tmp20[1]);
tab[nb_tmp3+1*nb3].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]);
tab[nb_tmp3+1*nb3].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]);
tab[nb_tmp3+2*nb3].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]);
tab[nb_tmp3+2*nb3].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]);
}
}
}
}
///////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_4_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2];
double tmp101[2],tmp102[2],tmp103[2],tmp104[2];
double tmp111[2],tmp112[2],tmp113[2],tmp114[2];
double w[4][2]={{1,0}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp6;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
w[2][0]=cos(2*tmp100+tmp200);
w[2][1]=-sin(2*tmp100+tmp200);
//w[3].real(cos(nb4*b*(3*nb3+j)*tmp5));
w[3][0]=cos(3*tmp100+tmp200);
w[3][1]=-sin(3*tmp100+tmp200);
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp3[0]=w[2][0]*tab[nb_tmp3+2*nb3].real()-w[2][1]*tab[nb_tmp3+2*nb3].imag();
tmp3[1]=w[2][0]*tab[nb_tmp3+2*nb3].imag()+w[2][1]*tab[nb_tmp3+2*nb3].real();
tmp4[0]=w[3][0]*tab[nb_tmp3+3*nb3].real()-w[3][1]*tab[nb_tmp3+3*nb3].imag();
tmp4[1]=w[3][0]*tab[nb_tmp3+3*nb3].imag()+w[3][1]*tab[nb_tmp3+3*nb3].real();
tmp101[0]=tmp2[0]-tmp4[0];
tmp101[1]=tmp2[1]-tmp4[1];
tmp102[0]=tmp2[0]+tmp4[0];
tmp102[1]=tmp2[1]+tmp4[1];
tmp103[0]=tmp1[0]-tmp3[0];
tmp103[1]=tmp1[1]-tmp3[1];
tmp104[0]=tmp1[0]+tmp3[0];
tmp104[1]=tmp1[1]+tmp3[1];
tmp111[0]=z[0][0]*(tmp104[0]+tmp102[0])-z[0][1]*(tmp104[1]+tmp102[1]);
tmp111[1]=z[0][0]*(tmp104[1]+tmp102[1])+z[0][1]*(tmp104[0]+tmp102[0]);
tmp112[0]=z[0][0]*tmp103[0]-z[0][1]*tmp103[1];
tmp112[1]=z[0][0]*tmp103[1]+z[0][1]*tmp103[0];
tmp113[0]=z[0][0]*(tmp104[0]-tmp102[0])-z[0][1]*(tmp104[1]-tmp102[1]);
tmp113[1]=z[0][0]*(tmp104[1]-tmp102[1])+z[0][1]*(tmp104[0]-tmp102[0]);
tmp114[0]=z[0][0]*tmp103[0]-z[0][1]*tmp103[1];
tmp114[1]=z[0][0]*tmp103[1]+z[0][1]*tmp103[0];
//radix-4
tab[nb_tmp3+0*nb3].real(tmp111[0]);
tab[nb_tmp3+0*nb3].imag(tmp111[1]);
tab[nb_tmp3+1*nb3].real(tmp112[0]+z[1][0]*tmp101[0]-z[1][1]*tmp101[1]);
tab[nb_tmp3+1*nb3].imag(tmp112[1]+z[1][0]*tmp101[1]+z[1][1]*tmp101[0]);
tab[nb_tmp3+2*nb3].real(tmp113[0]);
tab[nb_tmp3+2*nb3].imag(tmp113[1]);
tab[nb_tmp3+3*nb3].real(tmp114[0]-(z[1][0]*tmp101[0]-z[1][1]*tmp101[1]));
tab[nb_tmp3+3*nb3].imag(tmp114[1]-(z[1][0]*tmp101[1]+z[1][1]*tmp101[0]));
}
}
}
}
/////////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_5_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp6,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp20[2],tmp30[2];
double w[5][2]={{}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp6;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
w[2][0]=cos(2*tmp100+tmp200);
w[2][1]=-sin(2*tmp100+tmp200);
//w[2].real(cos(nb4*b*(2*nb3+j)*tmp99));
w[3][0]=cos(3*tmp100+tmp200);
w[3][1]=-sin(3*tmp100+tmp200);
w[4][0]=cos(4*tmp100+tmp200);
w[4][1]=-sin(4*tmp100+tmp200);
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp3[0]=w[2][0]*tab[nb_tmp3+2*nb3].real()-w[2][1]*tab[nb_tmp3+2*nb3].imag();
tmp3[1]=w[2][0]*tab[nb_tmp3+2*nb3].imag()+w[2][1]*tab[nb_tmp3+2*nb3].real();
tmp4[0]=w[3][0]*tab[nb_tmp3+3*nb3].real()-w[3][1]*tab[nb_tmp3+3*nb3].imag();
tmp4[1]=w[3][0]*tab[nb_tmp3+3*nb3].imag()+w[3][1]*tab[nb_tmp3+3*nb3].real();
tmp5[0]=w[4][0]*tab[nb_tmp3+4*nb3].real()-w[4][1]*tab[nb_tmp3+4*nb3].imag();
tmp5[1]=w[4][0]*tab[nb_tmp3+4*nb3].imag()+w[4][1]*tab[nb_tmp3+4*nb3].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]);
//radix-5
tab[nb_tmp3+0*nb3].real(tmp20[0]);
tab[nb_tmp3+0*nb3].imag(tmp20[1]);
tab[nb_tmp3+1*nb3].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+z[4][0]*tmp5[0]-z[4][1]*tmp5[1]);
tab[nb_tmp3+1*nb3].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+z[4][0]*tmp5[1]+z[4][1]*tmp5[0]);
tab[nb_tmp3+2*nb3].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+z[3][0]*tmp5[0]-z[3][1]*tmp5[1]);
tab[nb_tmp3+2*nb3].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+z[3][0]*tmp5[1]+z[3][1]*tmp5[0]);
tab[nb_tmp3+3*nb3].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+z[2][0]*tmp5[0]-z[2][1]*tmp5[1]);
tab[nb_tmp3+3*nb3].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+z[2][0]*tmp5[1]+z[2][1]*tmp5[0]);
tab[nb_tmp3+4*nb3].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+z[1][0]*tmp5[0]-z[1][1]*tmp5[1]);
tab[nb_tmp3+4*nb3].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+z[1][0]*tmp5[1]+z[1][1]*tmp5[0]);
}
}
}
}
///////////////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_7_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp99,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp6[2],tmp7[2],tmp20[2],tmp30[2];
double w[7][2]={{1,0}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp99;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
w[2][0]=cos(2*tmp100+tmp200);
w[2][1]=-sin(2*tmp100+tmp200);
//w[2].real(cos(nb4*b*(2*nb3+j)*tmp99));
w[3][0]=cos(3*tmp100+tmp200);
w[3][1]=-sin(3*tmp100+tmp200);
w[4][0]=cos(4*tmp100+tmp200);
w[4][1]=-sin(4*tmp100+tmp200);
w[5][0]=cos(5*tmp100+tmp200);
w[5][1]=-sin(5*tmp100+tmp200);
w[6][0]=cos(6*tmp100+tmp200);
w[6][1]=-sin(6*tmp100+tmp200);
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp3[0]=w[2][0]*tab[nb_tmp3+2*nb3].real()-w[2][1]*tab[nb_tmp3+2*nb3].imag();
tmp3[1]=w[2][0]*tab[nb_tmp3+2*nb3].imag()+w[2][1]*tab[nb_tmp3+2*nb3].real();
tmp4[0]=w[3][0]*tab[nb_tmp3+3*nb3].real()-w[3][1]*tab[nb_tmp3+3*nb3].imag();
tmp4[1]=w[3][0]*tab[nb_tmp3+3*nb3].imag()+w[3][1]*tab[nb_tmp3+3*nb3].real();
tmp5[0]=w[4][0]*tab[nb_tmp3+4*nb3].real()-w[4][1]*tab[nb_tmp3+4*nb3].imag();
tmp5[1]=w[4][0]*tab[nb_tmp3+4*nb3].imag()+w[4][1]*tab[nb_tmp3+4*nb3].real();
tmp6[0]=w[5][0]*tab[nb_tmp3+5*nb3].real()-w[5][1]*tab[nb_tmp3+5*nb3].imag();
tmp6[1]=w[5][0]*tab[nb_tmp3+5*nb3].imag()+w[5][1]*tab[nb_tmp3+5*nb3].real();
tmp7[0]=w[6][0]*tab[nb_tmp3+6*nb3].real()-w[6][1]*tab[nb_tmp3+6*nb3].imag();
tmp7[1]=w[6][0]*tab[nb_tmp3+6*nb3].imag()+w[6][1]*tab[nb_tmp3+6*nb3].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]);
//radix-7
tab[nb_tmp3+0*nb3].real(tmp20[0]);
tab[nb_tmp3+0*nb3].imag(tmp20[1]);
tab[nb_tmp3+1*nb3].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+
z[4][0]*tmp5[0]-z[4][1]*tmp5[1]+z[5][0]*tmp6[0]-z[5][1]*tmp6[1]+z[6][0]*tmp7[0]-z[6][1]*tmp7[1]);
tab[nb_tmp3+1*nb3].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+
z[4][0]*tmp5[1]+z[4][1]*tmp5[0]+z[5][0]*tmp6[1]+z[5][1]*tmp6[0]+z[6][0]*tmp7[1]+z[6][1]*tmp7[0]);
tab[nb_tmp3+2*nb3].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[6][0]*tmp4[0]-z[6][1]*tmp4[1]+
z[1][0]*tmp5[0]-z[1][1]*tmp5[1]+z[3][0]*tmp6[0]-z[3][1]*tmp6[1]+z[5][0]*tmp7[0]-z[5][1]*tmp7[1]);
tab[nb_tmp3+2*nb3].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[6][0]*tmp4[1]+z[6][1]*tmp4[0]+
z[1][0]*tmp5[1]+z[1][1]*tmp5[0]+z[3][0]*tmp6[1]+z[3][1]*tmp6[0]+z[5][0]*tmp7[1]+z[5][1]*tmp7[0]);
tab[nb_tmp3+3*nb3].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[6][0]*tmp3[0]-z[6][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+
z[5][0]*tmp5[0]-z[5][1]*tmp5[1]+z[1][0]*tmp6[0]-z[1][1]*tmp6[1]+z[4][0]*tmp7[0]-z[4][1]*tmp7[1]);
tab[nb_tmp3+3*nb3].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[6][0]*tmp3[1]+z[6][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+
z[5][0]*tmp5[1]+z[5][1]*tmp5[0]+z[1][0]*tmp6[1]+z[1][1]*tmp6[0]+z[4][0]*tmp7[1]+z[4][1]*tmp7[0]);
tab[nb_tmp3+4*nb3].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[5][0]*tmp4[0]-z[5][1]*tmp4[1]+
z[2][0]*tmp5[0]-z[2][1]*tmp5[1]+z[6][0]*tmp6[0]-z[6][1]*tmp6[1]+z[3][0]*tmp7[0]-z[3][1]*tmp7[1]);
tab[nb_tmp3+4*nb3].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[5][0]*tmp4[1]+z[5][1]*tmp4[0]+
z[2][0]*tmp5[1]+z[2][1]*tmp5[0]+z[6][0]*tmp6[1]+z[6][1]*tmp6[0]+z[3][0]*tmp7[1]+z[3][1]*tmp7[0]);
tab[nb_tmp3+5*nb3].real(tmp30[0]+z[5][0]*tmp2[0]-z[5][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+
z[6][0]*tmp5[0]-z[6][1]*tmp5[1]+z[4][0]*tmp6[0]-z[4][1]*tmp6[1]+z[2][0]*tmp7[0]-z[2][1]*tmp7[1]);
tab[nb_tmp3+5*nb3].imag(tmp30[1]+z[5][0]*tmp2[1]+z[5][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+
z[6][0]*tmp5[1]+z[6][1]*tmp5[0]+z[4][0]*tmp6[1]+z[4][1]*tmp6[0]+z[2][0]*tmp7[1]+z[2][1]*tmp7[0]);
tab[nb_tmp3+6*nb3].real(tmp30[0]+z[6][0]*tmp2[0]-z[6][1]*tmp2[1]+z[5][0]*tmp3[0]-z[5][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+
z[3][0]*tmp5[0]-z[3][1]*tmp5[1]+z[2][0]*tmp6[0]-z[2][1]*tmp6[1]+z[1][0]*tmp7[0]-z[1][1]*tmp7[1]);
tab[nb_tmp3+6*nb3].imag(tmp30[1]+z[6][0]*tmp2[1]+z[6][1]*tmp2[0]+z[5][0]*tmp3[1]+z[5][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+
z[3][0]*tmp5[1]+z[3][1]*tmp5[0]+z[2][0]*tmp6[1]+z[2][1]*tmp6[0]+z[1][0]*tmp7[1]+z[1][1]*tmp7[0]);
}
}
}
}
///////////////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_11_stg_rest(std::complex<double> tab[],int nb1,int nb2,int nb3,int nb4,int nb5_stg_previous,double tmp99,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp6[2],tmp7[2],tmp8[2],tmp9[2],tmp10[2],tmp11[2],tmp30[2],tmp20[2];
double w[11][2]={{1,0}};
double tmp100=0.0;
double tmp200=0.0;
double tmp300=0.0;
int nb_tmp1=0.0;
int nb_tmp2=0.0;
int nb_tmp3=0.0;
for(int b=0;b<nb5_stg_previous;b=b+1)
{
tmp300=nb4*b*tmp99;
tmp100=nb3*tmp300;
for(int j=0;j<nb3;j=j+1)
{
tmp200=j*tmp300;
w[0][0]=cos(0*tmp100+tmp200);
w[0][1]=-sin(0*tmp100+tmp200);
w[1][0]=cos(1*tmp100+tmp200);
w[1][1]=-sin(1*tmp100+tmp200);
w[2][0]=cos(2*tmp100+tmp200);
w[2][1]=-sin(2*tmp100+tmp200);
//w[2].real(cos(nb4*b*(2*nb3+j)*tmp99));
w[3][0]=cos(3*tmp100+tmp200);
w[3][1]=-sin(3*tmp100+tmp200);
w[4][0]=cos(4*tmp100+tmp200);
w[4][1]=-sin(4*tmp100+tmp200);
w[5][0]=cos(5*tmp100+tmp200);
w[5][1]=-sin(5*tmp100+tmp200);
w[6][0]=cos(6*tmp100+tmp200);
w[6][1]=-sin(6*tmp100+tmp200);
w[7][0]=cos(7*tmp100+tmp200);
w[7][1]=-sin(7*tmp100+tmp200);
w[8][0]=cos(8*tmp100+tmp200);
w[8][1]=-sin(8*tmp100+tmp200);
w[9][0]=cos(9*tmp100+tmp200);
w[9][1]=-sin(9*tmp100+tmp200);
w[10][0]=cos(10*tmp100+tmp200);
w[10][1]=-sin(10*tmp100+tmp200);
nb_tmp1=b*nb2+j;
for(int i=0;i<nb4;i=i+1)
{
nb_tmp2=i*nb1;
nb_tmp3=nb_tmp1+nb_tmp2;
tmp1[0]=w[0][0]*tab[nb_tmp3+0*nb3].real()-w[0][1]*tab[nb_tmp3+0*nb3].imag();
tmp1[1]=w[0][0]*tab[nb_tmp3+0*nb3].imag()+w[0][1]*tab[nb_tmp3+0*nb3].real();
tmp2[0]=w[1][0]*tab[nb_tmp3+1*nb3].real()-w[1][1]*tab[nb_tmp3+1*nb3].imag();
tmp2[1]=w[1][0]*tab[nb_tmp3+1*nb3].imag()+w[1][1]*tab[nb_tmp3+1*nb3].real();
tmp3[0]=w[2][0]*tab[nb_tmp3+2*nb3].real()-w[2][1]*tab[nb_tmp3+2*nb3].imag();
tmp3[1]=w[2][0]*tab[nb_tmp3+2*nb3].imag()+w[2][1]*tab[nb_tmp3+2*nb3].real();
tmp4[0]=w[3][0]*tab[nb_tmp3+3*nb3].real()-w[3][1]*tab[nb_tmp3+3*nb3].imag();
tmp4[1]=w[3][0]*tab[nb_tmp3+3*nb3].imag()+w[3][1]*tab[nb_tmp3+3*nb3].real();
tmp5[0]=w[4][0]*tab[nb_tmp3+4*nb3].real()-w[4][1]*tab[nb_tmp3+4*nb3].imag();
tmp5[1]=w[4][0]*tab[nb_tmp3+4*nb3].imag()+w[4][1]*tab[nb_tmp3+4*nb3].real();
tmp6[0]=w[5][0]*tab[nb_tmp3+5*nb3].real()-w[5][1]*tab[nb_tmp3+5*nb3].imag();
tmp6[1]=w[5][0]*tab[nb_tmp3+5*nb3].imag()+w[5][1]*tab[nb_tmp3+5*nb3].real();
tmp7[0]=w[6][0]*tab[nb_tmp3+6*nb3].real()-w[6][1]*tab[nb_tmp3+6*nb3].imag();
tmp7[1]=w[6][0]*tab[nb_tmp3+6*nb3].imag()+w[6][1]*tab[nb_tmp3+6*nb3].real();
tmp8[0]=w[7][0]*tab[nb_tmp3+7*nb3].real()-w[7][1]*tab[nb_tmp3+7*nb3].imag();
tmp8[1]=w[7][0]*tab[nb_tmp3+7*nb3].imag()+w[7][1]*tab[nb_tmp3+7*nb3].real();
tmp9[0]=w[8][0]*tab[nb_tmp3+8*nb3].real()-w[8][1]*tab[nb_tmp3+8*nb3].imag();
tmp9[1]=w[8][0]*tab[nb_tmp3+8*nb3].imag()+w[8][1]*tab[nb_tmp3+8*nb3].real();
tmp10[0]=w[9][0]*tab[nb_tmp3+9*nb3].real()-w[9][1]*tab[nb_tmp3+9*nb3].imag();
tmp10[1]=w[9][0]*tab[nb_tmp3+9*nb3].imag()+w[9][1]*tab[nb_tmp3+9*nb3].real();
tmp11[0]=w[10][0]*tab[nb_tmp3+10*nb3].real()-w[10][1]*tab[nb_tmp3+10*nb3].imag();
tmp11[1]=w[10][0]*tab[nb_tmp3+10*nb3].imag()+w[10][1]*tab[nb_tmp3+10*nb3].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]+tmp8[0]+tmp9[0]+tmp10[0]+tmp11[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]+tmp8[1]+tmp9[1]+tmp10[1]+tmp11[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]+tmp8[1]+tmp9[1]+tmp10[1]+tmp11[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]+tmp8[0]+tmp9[0]+tmp10[0]+tmp11[0]);
//radix-11
tab[nb_tmp3+0*nb3].real(tmp20[0]);
tab[nb_tmp3+0*nb3].imag(tmp20[1]);
tab[nb_tmp3+1*nb3].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+z[4][0]*tmp5[0]-z[4][1]*tmp5[1]+z[5][0]*tmp6[0]-z[5][1]*tmp6[1]+
z[6][0]*tmp7[0]-z[6][1]*tmp7[1]+z[7][0]*tmp8[0]-z[7][1]*tmp8[1]+z[8][0]*tmp9[0]-z[8][1]*tmp9[1]+z[9][0]*tmp10[0]-z[9][1]*tmp10[1]+z[10][0]*tmp11[0]-z[10][1]*tmp11[1]);
tab[nb_tmp3+1*nb3].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+z[4][0]*tmp5[1]+z[4][1]*tmp5[0]+z[5][0]*tmp6[1]+z[5][1]*tmp6[0]+
z[6][0]*tmp7[1]+z[6][1]*tmp7[0]+z[7][0]*tmp8[1]+z[7][1]*tmp8[0]+z[8][0]*tmp9[1]+z[8][1]*tmp9[0]+z[9][0]*tmp10[1]+z[9][1]*tmp10[0]+z[10][0]*tmp11[1]+z[10][1]*tmp11[0]);
tab[nb_tmp3+2*nb3].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[6][0]*tmp4[0]-z[6][1]*tmp4[1]+z[8][0]*tmp5[0]-z[8][1]*tmp5[1]+z[10][0]*tmp6[0]-z[10][1]*tmp6[1]+
z[1][0]*tmp7[0]-z[1][1]*tmp7[1]+z[3][0]*tmp8[0]-z[3][1]*tmp8[1]+z[5][0]*tmp9[0]-z[5][1]*tmp9[1]+z[7][0]*tmp10[0]-z[7][1]*tmp10[1]+z[9][0]*tmp11[0]-z[9][1]*tmp11[1]);
tab[nb_tmp3+2*nb3].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[6][0]*tmp4[1]+z[6][1]*tmp4[0]+z[8][0]*tmp5[1]+z[8][1]*tmp5[0]+z[10][0]*tmp6[1]+z[10][1]*tmp6[0]+
z[1][0]*tmp7[1]+z[1][1]*tmp7[0]+z[3][0]*tmp8[1]+z[3][1]*tmp8[0]+z[5][0]*tmp9[1]+z[5][1]*tmp9[0]+z[7][0]*tmp10[1]+z[7][1]*tmp10[0]+z[9][0]*tmp11[1]+z[9][1]*tmp11[0]);
tab[nb_tmp3+3*nb3].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[6][0]*tmp3[0]-z[6][1]*tmp3[1]+z[9][0]*tmp4[0]-z[9][1]*tmp4[1]+z[1][0]*tmp5[0]-z[1][1]*tmp5[1]+z[4][0]*tmp6[0]-z[4][1]*tmp6[1]+
z[7][0]*tmp7[0]-z[7][1]*tmp7[1]+z[10][0]*tmp8[0]-z[10][1]*tmp8[1]+z[2][0]*tmp9[0]-z[2][1]*tmp9[1]+z[5][0]*tmp10[0]-z[5][1]*tmp10[1]+z[8][0]*tmp11[0]-z[8][1]*tmp11[1]);
tab[nb_tmp3+3*nb3].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[6][0]*tmp3[1]+z[6][1]*tmp3[0]+z[9][0]*tmp4[1]+z[9][1]*tmp4[0]+z[1][0]*tmp5[1]+z[1][1]*tmp5[0]+z[4][0]*tmp6[1]+z[4][1]*tmp6[0]+
z[7][0]*tmp7[1]+z[7][1]*tmp7[0]+z[10][0]*tmp8[1]+z[10][1]*tmp8[0]+z[2][0]*tmp9[1]+z[2][1]*tmp9[0]+z[5][0]*tmp10[1]+z[5][1]*tmp10[0]+z[8][0]*tmp11[1]+z[8][1]*tmp11[0]);
tab[nb_tmp3+4*nb3].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[8][0]*tmp3[0]-z[8][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+z[5][0]*tmp5[0]-z[5][1]*tmp5[1]+z[9][0]*tmp6[0]-z[9][1]*tmp6[1]+
z[2][0]*tmp7[0]-z[2][1]*tmp7[1]+z[6][0]*tmp8[0]-z[6][1]*tmp8[1]+z[10][0]*tmp9[0]-z[10][1]*tmp9[1]+z[3][0]*tmp10[0]-z[3][1]*tmp10[1]+z[7][0]*tmp11[0]-z[7][1]*tmp11[1]);
tab[nb_tmp3+4*nb3].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[8][0]*tmp3[1]+z[8][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+z[5][0]*tmp5[1]+z[5][1]*tmp5[0]+z[9][0]*tmp6[1]+z[9][1]*tmp6[0]+
z[2][0]*tmp7[1]+z[2][1]*tmp7[0]+z[6][0]*tmp8[1]+z[6][1]*tmp8[0]+z[10][0]*tmp9[1]+z[10][1]*tmp9[0]+z[3][0]*tmp10[1]+z[3][1]*tmp10[0]+z[7][0]*tmp11[1]+z[7][1]*tmp11[0]);
tab[nb_tmp3+5*nb3].real(tmp30[0]+z[5][0]*tmp2[0]-z[5][1]*tmp2[1]+z[10][0]*tmp3[0]-z[10][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+z[9][0]*tmp5[0]-z[9][1]*tmp5[1]+z[3][0]*tmp6[0]-z[3][1]*tmp6[1]+
z[8][0]*tmp7[0]-z[8][1]*tmp7[1]+z[2][0]*tmp8[0]-z[2][1]*tmp8[1]+z[7][0]*tmp9[0]-z[7][1]*tmp9[1]+z[1][0]*tmp10[0]-z[1][1]*tmp10[1]+z[6][0]*tmp11[0]-z[6][1]*tmp11[1]);
tab[nb_tmp3+5*nb3].imag(tmp30[1]+z[5][0]*tmp2[1]+z[5][1]*tmp2[0]+z[10][0]*tmp3[1]+z[10][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+z[9][0]*tmp5[1]+z[9][1]*tmp5[0]+z[3][0]*tmp6[1]+z[3][1]*tmp6[0]+
z[8][0]*tmp7[1]+z[8][1]*tmp7[0]+z[2][0]*tmp8[1]+z[2][1]*tmp8[0]+z[7][0]*tmp9[1]+z[7][1]*tmp9[0]+z[1][0]*tmp10[1]+z[1][1]*tmp10[0]+z[6][0]*tmp11[1]+z[6][1]*tmp11[0]);
tab[nb_tmp3+6*nb3].real(tmp30[0]+z[6][0]*tmp2[0]-z[6][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[7][0]*tmp4[0]-z[7][1]*tmp4[1]+z[2][0]*tmp5[0]-z[2][1]*tmp5[1]+z[8][0]*tmp6[0]-z[8][1]*tmp6[1]+
z[3][0]*tmp7[0]-z[3][1]*tmp7[1]+z[9][0]*tmp8[0]-z[9][1]*tmp8[1]+z[4][0]*tmp9[0]-z[4][1]*tmp9[1]+z[10][0]*tmp10[0]-z[10][1]*tmp10[1]+z[5][0]*tmp11[0]-z[5][1]*tmp11[1]);
tab[nb_tmp3+6*nb3].imag(tmp30[1]+z[6][0]*tmp2[1]+z[6][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[7][0]*tmp4[1]+z[7][1]*tmp4[0]+z[2][0]*tmp5[1]+z[2][1]*tmp5[0]+z[8][0]*tmp6[1]+z[8][1]*tmp6[0]+
z[3][0]*tmp7[1]+z[3][1]*tmp7[0]+z[9][0]*tmp8[1]+z[9][1]*tmp8[0]+z[4][0]*tmp9[1]+z[4][1]*tmp9[0]+z[10][0]*tmp10[1]+z[10][1]*tmp10[0]+z[5][0]*tmp11[1]+z[5][1]*tmp11[0]);
tab[nb_tmp3+7*nb3].real(tmp30[0]+z[7][0]*tmp2[0]-z[7][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[10][0]*tmp4[0]-z[10][1]*tmp4[1]+z[6][0]*tmp5[0]-z[6][1]*tmp5[1]+z[2][0]*tmp6[0]-z[2][1]*tmp6[1]+
z[9][0]*tmp7[0]-z[9][1]*tmp7[1]+z[5][0]*tmp8[0]-z[5][1]*tmp8[1]+z[1][0]*tmp9[0]-z[1][1]*tmp9[1]+z[8][0]*tmp10[0]-z[8][1]*tmp10[1]+z[4][0]*tmp11[0]-z[4][1]*tmp11[1]);
tab[nb_tmp3+7*nb3].imag(tmp30[1]+z[7][0]*tmp2[1]+z[7][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[10][0]*tmp4[1]+z[10][1]*tmp4[0]+z[6][0]*tmp5[1]+z[6][1]*tmp5[0]+z[2][0]*tmp6[1]+z[2][1]*tmp6[0]+
z[9][0]*tmp7[1]+z[9][1]*tmp7[0]+z[5][0]*tmp8[1]+z[5][1]*tmp8[0]+z[1][0]*tmp9[1]+z[1][1]*tmp9[0]+z[8][0]*tmp10[1]+z[8][1]*tmp10[0]+z[4][0]*tmp11[1]+z[4][1]*tmp11[0]);
tab[nb_tmp3+8*nb3].real(tmp30[0]+z[8][0]*tmp2[0]-z[8][1]*tmp2[1]+z[5][0]*tmp3[0]-z[5][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+z[10][0]*tmp5[0]-z[10][1]*tmp5[1]+z[7][0]*tmp6[0]-z[7][1]*tmp6[1]+
z[4][0]*tmp7[0]-z[4][1]*tmp7[1]+z[1][0]*tmp8[0]-z[1][1]*tmp8[1]+z[9][0]*tmp9[0]-z[9][1]*tmp9[1]+z[6][0]*tmp10[0]-z[6][1]*tmp10[1]+z[3][0]*tmp11[0]-z[3][1]*tmp11[1]);
tab[nb_tmp3+8*nb3].imag(tmp30[1]+z[8][0]*tmp2[1]+z[8][1]*tmp2[0]+z[5][0]*tmp3[1]+z[5][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+z[10][0]*tmp5[1]+z[10][1]*tmp5[0]+z[7][0]*tmp6[1]+z[7][1]*tmp6[0]+
z[4][0]*tmp7[1]+z[4][1]*tmp7[0]+z[1][0]*tmp8[1]+z[1][1]*tmp8[0]+z[9][0]*tmp9[1]+z[9][1]*tmp9[0]+z[6][0]*tmp10[1]+z[6][1]*tmp10[0]+z[3][0]*tmp11[1]+z[3][1]*tmp11[0]);
tab[nb_tmp3+9*nb3].real(tmp30[0]+z[9][0]*tmp2[0]-z[9][1]*tmp2[1]+z[7][0]*tmp3[0]-z[7][1]*tmp3[1]+z[5][0]*tmp4[0]-z[5][1]*tmp4[1]+z[3][0]*tmp5[0]-z[3][1]*tmp5[1]+z[1][0]*tmp6[0]-z[1][1]*tmp6[1]+
z[10][0]*tmp7[0]-z[10][1]*tmp7[1]+z[8][0]*tmp8[0]-z[8][1]*tmp8[1]+z[6][0]*tmp9[0]-z[6][1]*tmp9[1]+z[4][0]*tmp10[0]-z[4][1]*tmp10[1]+z[2][0]*tmp11[0]-z[2][1]*tmp11[1]);
tab[nb_tmp3+9*nb3].imag(tmp30[1]+z[9][0]*tmp2[1]+z[9][1]*tmp2[0]+z[7][0]*tmp3[1]+z[7][1]*tmp3[0]+z[5][0]*tmp4[1]+z[5][1]*tmp4[0]+z[3][0]*tmp5[1]+z[3][1]*tmp5[0]+z[1][0]*tmp6[1]+z[1][1]*tmp6[0]+
z[10][0]*tmp7[1]+z[10][1]*tmp7[0]+z[8][0]*tmp8[1]+z[8][1]*tmp8[0]+z[6][0]*tmp9[1]+z[6][1]*tmp9[0]+z[4][0]*tmp10[1]+z[4][1]*tmp10[0]+z[2][0]*tmp11[1]+z[2][1]*tmp11[0]);
tab[nb_tmp3+10*nb3].real(tmp30[0]+z[10][0]*tmp2[0]-z[10][1]*tmp2[1]+z[9][0]*tmp3[0]-z[9][1]*tmp3[1]+z[8][0]*tmp4[0]-z[8][1]*tmp4[1]+z[7][0]*tmp5[0]-z[7][1]*tmp5[1]+z[6][0]*tmp6[0]-z[6][1]*tmp6[1]+
z[5][0]*tmp7[0]-z[5][1]*tmp7[1]+z[4][0]*tmp8[0]-z[4][1]*tmp8[1]+z[3][0]*tmp9[0]-z[3][1]*tmp9[1]+z[2][0]*tmp10[0]-z[2][1]*tmp10[1]+z[1][0]*tmp11[0]-z[1][1]*tmp11[1]);
tab[nb_tmp3+10*nb3].imag(tmp30[1]+z[10][0]*tmp2[1]+z[10][1]*tmp2[0]+z[9][0]*tmp3[1]+z[9][1]*tmp3[0]+z[8][0]*tmp4[1]+z[8][1]*tmp4[0]+z[7][0]*tmp5[1]+z[7][1]*tmp5[0]+z[6][0]*tmp6[1]+z[6][1]*tmp6[0]+
z[5][0]*tmp7[1]+z[5][1]*tmp7[0]+z[4][0]*tmp8[1]+z[4][1]*tmp8[0]+z[3][0]*tmp9[1]+z[3][1]*tmp9[0]+z[2][0]*tmp10[1]+z[2][1]*tmp10[0]+z[1][0]*tmp11[1]+z[1][1]*tmp11[0]);
}
}
}
}
///////////////////////////////////////////////////////////////////////
void fun_inverse_table_FFT(int M,std::complex<double> tab[])
{
//author marcin matysek (r)ewertyn.PL
//open-source
int rx5=5,rx4=4,rx3=3,rx2=2,rx7=7,rx11=11;
int stg[100]={};
int *tab8 = new int[M];
int *tab9 = new int[M];
std::complex<double> *tab11 = new std::complex<double>[M];
int nb_stages=0;
int nb1=0;
int nb2=0;
int nb3=0;
nb_stages=6;
nb_stages=radix_base(M,stg);
for(int i=0;i<M;i++)
{
//tab9[i]=tab2[i];
//tab8[i]=tab2[i];
tab9[i]=i;
tab8[i]=i;
}
nb3=1;
for(int op=nb_stages;op>=2;op--)
{
nb1=stg[op];
nb3=nb3*stg[op];
if(op==nb_stages)
{
nb2=stg[0];
}
else
{
nb2=nb2*stg[op+1];
}
for(int i=0,n=0,p=0;i<M;i=i+M/nb3,n++)
{
if(n>=nb1)
{
n=0,p=p+M/nb2;
}
for(int j=0,k=0;j<M/nb3;j++,k=k+nb1)
{
if(op%2==0)
{
tab8[i+j]=tab9[k+n+p];
}
else
{
tab9[i+j]=tab8[k+n+p];
}
}
}
}
for(int i=0;i<M;i++)
{
tab11[i]=tab[tab8[i]];
}
for(int i=0;i<M;i++)
{
tab[i]=tab11[i];
}
delete [] tab8;
delete [] tab9;
delete [] tab11;
}
///////////////////////////////////////
int radix_base(int N,int stg[])
{
int k=0;
double M=(double)N;
double epsilon1;
stg[0]=1;
//*flg2=0;
//cout<<"M= "<<M<<endl;
epsilon1=0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001;
for(int j=0;j<200;j++)
{
if(fmod(M,11)<=epsilon1)
{
k++;
M=M/11.0;
stg[k]=11;
}
else if(fmod(M,7)<=epsilon1)
{
k++;
M=M/7.0;
stg[k]=7;
}
else if(fmod(M,5)<=epsilon1)
{
k++;
M=M/5.0;
stg[k]=5;
}
else if(fmod(M,4)<=epsilon1)
{
k++;
M=M/4.0;
stg[k]=4;
}
else if(fmod(M,3)<=epsilon1)
{
k++;
M=M/3.0;
stg[k]=3;
}
else if(fmod(M,2)<=epsilon1)
{
k++;
M=M/2.0;
stg[k]=2;
}
else if(M>=1.0-epsilon1&&M<=1.0+epsilon1)
{
//*flag=*flag+1;
//cout<<"*flag= "<<*flag<<" N= "<<N<<endl;
break;
}
else
{
cout<<endl<< "Unsupported signal: N= "<<N<< endl;
if(k>0)
{
for(int m=1;m<=k;m++)
{
cout <<"stage:"<<m<<" = radix-"<<stg[m] << endl;
}
}
cout <<"stage:"<<k+1<<" = radix-??" << endl;
k=0;
break;
}
//*flg2=*flg2+1;
}
return k;
}
/////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_2_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp20[2];
double w[2][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i=i+1)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0])-z[0][1]*(tmp1[1]+tmp2[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1])+z[0][1]*(tmp1[0]+tmp2[0]);
//radix-2
tab[i+0*stg_first].real(tmp20[0]);
tab[i+0*stg_first].imag(tmp20[1]);
tab[i+1*stg_first].real(z[0][0]*tmp1[0]-z[0][1]*tmp1[1]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]);
tab[i+1*stg_first].imag(z[0][0]*tmp1[1]+z[0][1]*tmp1[0]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]);
}
}
///////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_3_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp30[2],tmp20[2];
double w[3][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
w[2][0]=cos(0+fi2);
w[2][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i=i+1)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp3[0]=w[2][0]*tab[i+2*stg_first].real()-w[2][1]*tab[i+2*stg_first].imag();
tmp3[1]=w[2][0]*tab[i+2*stg_first].imag()+w[2][1]*tab[i+2*stg_first].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]);
//radix-3
tab[i+0*stg_first].real(tmp20[0]);
tab[i+0*stg_first].imag(tmp20[1]);
tab[i+1*stg_first].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]);
tab[i+1*stg_first].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]);
tab[i+2*stg_first].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]);
tab[i+2*stg_first].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]);
}
}
///////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_4_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2];
double tmp101[2],tmp102[2],tmp103[2],tmp104[2];
double tmp111[2],tmp112[2],tmp113[2],tmp114[2];
double w[4][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
w[2][0]=cos(0+fi2);
w[2][1]=-sin(0+fi2);
w[3][0]=cos(0+fi2);
w[3][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i=i+1)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp3[0]=w[2][0]*tab[i+2*stg_first].real()-w[2][1]*tab[i+2*stg_first].imag();
tmp3[1]=w[2][0]*tab[i+2*stg_first].imag()+w[2][1]*tab[i+2*stg_first].real();
tmp4[0]=w[3][0]*tab[i+3*stg_first].real()-w[3][1]*tab[i+3*stg_first].imag();
tmp4[1]=w[3][0]*tab[i+3*stg_first].imag()+w[3][1]*tab[i+3*stg_first].real();
tmp101[0]=tmp2[0]-tmp4[0];
tmp101[1]=tmp2[1]-tmp4[1];
tmp102[0]=tmp2[0]+tmp4[0];
tmp102[1]=tmp2[1]+tmp4[1];
tmp103[0]=tmp1[0]-tmp3[0];
tmp103[1]=tmp1[1]-tmp3[1];
tmp104[0]=tmp1[0]+tmp3[0];
tmp104[1]=tmp1[1]+tmp3[1];
tmp111[0]=z[0][0]*(tmp104[0]+tmp102[0])-z[0][1]*(tmp104[1]+tmp102[1]);
tmp111[1]=z[0][0]*(tmp104[1]+tmp102[1])+z[0][1]*(tmp104[0]+tmp102[0]);
tmp112[0]=z[0][0]*tmp103[0]-z[0][1]*tmp103[1];
tmp112[1]=z[0][0]*tmp103[1]+z[0][1]*tmp103[0];
tmp113[0]=z[0][0]*(tmp104[0]-tmp102[0])-z[0][1]*(tmp104[1]-tmp102[1]);
tmp113[1]=z[0][0]*(tmp104[1]-tmp102[1])+z[0][1]*(tmp104[0]-tmp102[0]);
tmp114[0]=z[0][0]*tmp103[0]-z[0][1]*tmp103[1];
tmp114[1]=z[0][0]*tmp103[1]+z[0][1]*tmp103[0];
//radix-4
tab[i+0*stg_first].real(tmp111[0]);
tab[i+0*stg_first].imag(tmp111[1]);
tab[i+1*stg_first].real(tmp112[0]+z[1][0]*tmp101[0]-z[1][1]*tmp101[1]);
tab[i+1*stg_first].imag(tmp112[1]+z[1][0]*tmp101[1]+z[1][1]*tmp101[0]);
tab[i+2*stg_first].real(tmp113[0]);
tab[i+2*stg_first].imag(tmp113[1]);
tab[i+3*stg_first].real(tmp114[0]-(z[1][0]*tmp101[0]-z[1][1]*tmp101[1]));
tab[i+3*stg_first].imag(tmp114[1]-(z[1][0]*tmp101[1]+z[1][1]*tmp101[0]));
}
}
/////////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_5_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp30[2],tmp20[2];
double w[5][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
w[2][0]=cos(0+fi2);
w[2][1]=-sin(0+fi2);
w[3][0]=cos(0+fi2);
w[3][1]=-sin(0+fi2);
w[4][0]=cos(0+fi2);
w[4][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i++)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp3[0]=w[2][0]*tab[i+2*stg_first].real()-w[2][1]*tab[i+2*stg_first].imag();
tmp3[1]=w[2][0]*tab[i+2*stg_first].imag()+w[2][1]*tab[i+2*stg_first].real();
tmp4[0]=w[3][0]*tab[i+3*stg_first].real()-w[3][1]*tab[i+3*stg_first].imag();
tmp4[1]=w[3][0]*tab[i+3*stg_first].imag()+w[3][1]*tab[i+3*stg_first].real();
tmp5[0]=w[4][0]*tab[i+4*stg_first].real()-w[4][1]*tab[i+4*stg_first].imag();
tmp5[1]=w[4][0]*tab[i+4*stg_first].imag()+w[4][1]*tab[i+4*stg_first].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]);
//radix-5
tab[i+0*stg_first].real(tmp20[0]);
tab[i+0*stg_first].imag(tmp20[1]);
tab[i+1*stg_first].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+z[4][0]*tmp5[0]-z[4][1]*tmp5[1]);
tab[i+1*stg_first].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+z[4][0]*tmp5[1]+z[4][1]*tmp5[0]);
tab[i+2*stg_first].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+z[3][0]*tmp5[0]-z[3][1]*tmp5[1]);
tab[i+2*stg_first].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+z[3][0]*tmp5[1]+z[3][1]*tmp5[0]);
tab[i+3*stg_first].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+z[2][0]*tmp5[0]-z[2][1]*tmp5[1]);
tab[i+3*stg_first].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+z[2][0]*tmp5[1]+z[2][1]*tmp5[0]);
tab[i+4*stg_first].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+z[1][0]*tmp5[0]-z[1][1]*tmp5[1]);
tab[i+4*stg_first].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+z[1][0]*tmp5[1]+z[1][1]*tmp5[0]);
}
}
/////////////////////////////////////////
void fun_fourier_transform_FFT_radix_7_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp6[2],tmp7[2],tmp30[2],tmp20[2];
double w[7][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
w[2][0]=cos(0+fi2);
w[2][1]=-sin(0+fi2);
w[3][0]=cos(0+fi2);
w[3][1]=-sin(0+fi2);
w[4][0]=cos(0+fi2);
w[4][1]=-sin(0+fi2);
w[5][0]=cos(0+fi2);
w[5][1]=-sin(0+fi2);
w[6][0]=cos(0+fi2);
w[6][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i=i+1)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp3[0]=w[2][0]*tab[i+2*stg_first].real()-w[2][1]*tab[i+2*stg_first].imag();
tmp3[1]=w[2][0]*tab[i+2*stg_first].imag()+w[2][1]*tab[i+2*stg_first].real();
tmp4[0]=w[3][0]*tab[i+3*stg_first].real()-w[3][1]*tab[i+3*stg_first].imag();
tmp4[1]=w[3][0]*tab[i+3*stg_first].imag()+w[3][1]*tab[i+3*stg_first].real();
tmp5[0]=w[4][0]*tab[i+4*stg_first].real()-w[4][1]*tab[i+4*stg_first].imag();
tmp5[1]=w[4][0]*tab[i+4*stg_first].imag()+w[4][1]*tab[i+4*stg_first].real();
tmp6[0]=w[5][0]*tab[i+5*stg_first].real()-w[5][1]*tab[i+5*stg_first].imag();
tmp6[1]=w[5][0]*tab[i+5*stg_first].imag()+w[5][1]*tab[i+5*stg_first].real();
tmp7[0]=w[6][0]*tab[i+6*stg_first].real()-w[6][1]*tab[i+6*stg_first].imag();
tmp7[1]=w[6][0]*tab[i+6*stg_first].imag()+w[6][1]*tab[i+6*stg_first].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]);
//radix-7
tab[i+0*stg_first].real(tmp20[0]);
tab[i+0*stg_first].imag(tmp20[1]);
tab[i+1*stg_first].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+
z[4][0]*tmp5[0]-z[4][1]*tmp5[1]+z[5][0]*tmp6[0]-z[5][1]*tmp6[1]+z[6][0]*tmp7[0]-z[6][1]*tmp7[1]);
tab[i+1*stg_first].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+
z[4][0]*tmp5[1]+z[4][1]*tmp5[0]+z[5][0]*tmp6[1]+z[5][1]*tmp6[0]+z[6][0]*tmp7[1]+z[6][1]*tmp7[0]);
tab[i+2*stg_first].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[6][0]*tmp4[0]-z[6][1]*tmp4[1]+
z[1][0]*tmp5[0]-z[1][1]*tmp5[1]+z[3][0]*tmp6[0]-z[3][1]*tmp6[1]+z[5][0]*tmp7[0]-z[5][1]*tmp7[1]);
tab[i+2*stg_first].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[6][0]*tmp4[1]+z[6][1]*tmp4[0]+
z[1][0]*tmp5[1]+z[1][1]*tmp5[0]+z[3][0]*tmp6[1]+z[3][1]*tmp6[0]+z[5][0]*tmp7[1]+z[5][1]*tmp7[0]);
tab[i+3*stg_first].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[6][0]*tmp3[0]-z[6][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+
z[5][0]*tmp5[0]-z[5][1]*tmp5[1]+z[1][0]*tmp6[0]-z[1][1]*tmp6[1]+z[4][0]*tmp7[0]-z[4][1]*tmp7[1]);
tab[i+3*stg_first].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[6][0]*tmp3[1]+z[6][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+
z[5][0]*tmp5[1]+z[5][1]*tmp5[0]+z[1][0]*tmp6[1]+z[1][1]*tmp6[0]+z[4][0]*tmp7[1]+z[4][1]*tmp7[0]);
tab[i+4*stg_first].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[5][0]*tmp4[0]-z[5][1]*tmp4[1]+
z[2][0]*tmp5[0]-z[2][1]*tmp5[1]+z[6][0]*tmp6[0]-z[6][1]*tmp6[1]+z[3][0]*tmp7[0]-z[3][1]*tmp7[1]);
tab[i+4*stg_first].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[5][0]*tmp4[1]+z[5][1]*tmp4[0]+
z[2][0]*tmp5[1]+z[2][1]*tmp5[0]+z[6][0]*tmp6[1]+z[6][1]*tmp6[0]+z[3][0]*tmp7[1]+z[3][1]*tmp7[0]);
tab[i+5*stg_first].real(tmp30[0]+z[5][0]*tmp2[0]-z[5][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+
z[6][0]*tmp5[0]-z[6][1]*tmp5[1]+z[4][0]*tmp6[0]-z[4][1]*tmp6[1]+z[2][0]*tmp7[0]-z[2][1]*tmp7[1]);
tab[i+5*stg_first].imag(tmp30[1]+z[5][0]*tmp2[1]+z[5][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+
z[6][0]*tmp5[1]+z[6][1]*tmp5[0]+z[4][0]*tmp6[1]+z[4][1]*tmp6[0]+z[2][0]*tmp7[1]+z[2][1]*tmp7[0]);
tab[i+6*stg_first].real(tmp30[0]+z[6][0]*tmp2[0]-z[6][1]*tmp2[1]+z[5][0]*tmp3[0]-z[5][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+
z[3][0]*tmp5[0]-z[3][1]*tmp5[1]+z[2][0]*tmp6[0]-z[2][1]*tmp6[1]+z[1][0]*tmp7[0]-z[1][1]*tmp7[1]);
tab[i+6*stg_first].imag(tmp30[1]+z[6][0]*tmp2[1]+z[6][1]*tmp2[0]+z[5][0]*tmp3[1]+z[5][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+
z[3][0]*tmp5[1]+z[3][1]*tmp5[0]+z[2][0]*tmp6[1]+z[2][1]*tmp6[0]+z[1][0]*tmp7[1]+z[1][1]*tmp7[0]);
}
}
///////////////////////////////////////////////////////////////////////
void fun_fourier_transform_FFT_radix_11_stg_first(std::complex<double> tab[],int stg_first,double fi2,double (*z)[2])
{
double tmp1[2],tmp2[2],tmp3[2],tmp4[2],tmp5[2],tmp6[2],tmp7[2],tmp8[2],tmp9[2],tmp10[2],tmp11[2],tmp30[2],tmp20[2];
double w[11][2]={{1,0}};
w[0][0]=cos(0+fi2);
w[0][1]=-sin(0+fi2);
w[1][0]=cos(0+fi2);
w[1][1]=-sin(0+fi2);
w[2][0]=cos(0+fi2);
w[2][1]=-sin(0+fi2);
w[3][0]=cos(0+fi2);
w[3][1]=-sin(0+fi2);
w[4][0]=cos(0+fi2);
w[4][1]=-sin(0+fi2);
w[5][0]=cos(0+fi2);
w[5][1]=-sin(0+fi2);
w[6][0]=cos(0+fi2);
w[6][1]=-sin(0+fi2);
w[7][0]=cos(0+fi2);
w[7][1]=-sin(0+fi2);
w[8][0]=cos(0+fi2);
w[8][1]=-sin(0+fi2);
w[9][0]=cos(0+fi2);
w[9][1]=-sin(0+fi2);
w[10][0]=cos(0+fi2);
w[10][1]=-sin(0+fi2);
for(int i=0;i<stg_first;i=i+1)
{
tmp1[0]=w[0][0]*tab[i+0*stg_first].real()-w[0][1]*tab[i+0*stg_first].imag();
tmp1[1]=w[0][0]*tab[i+0*stg_first].imag()+w[0][1]*tab[i+0*stg_first].real();
tmp2[0]=w[1][0]*tab[i+1*stg_first].real()-w[1][1]*tab[i+1*stg_first].imag();
tmp2[1]=w[1][0]*tab[i+1*stg_first].imag()+w[1][1]*tab[i+1*stg_first].real();
tmp3[0]=w[2][0]*tab[i+2*stg_first].real()-w[2][1]*tab[i+2*stg_first].imag();
tmp3[1]=w[2][0]*tab[i+2*stg_first].imag()+w[2][1]*tab[i+2*stg_first].real();
tmp4[0]=w[3][0]*tab[i+3*stg_first].real()-w[3][1]*tab[i+3*stg_first].imag();
tmp4[1]=w[3][0]*tab[i+3*stg_first].imag()+w[3][1]*tab[i+3*stg_first].real();
tmp5[0]=w[4][0]*tab[i+4*stg_first].real()-w[4][1]*tab[i+4*stg_first].imag();
tmp5[1]=w[4][0]*tab[i+4*stg_first].imag()+w[4][1]*tab[i+4*stg_first].real();
tmp6[0]=w[5][0]*tab[i+5*stg_first].real()-w[5][1]*tab[i+5*stg_first].imag();
tmp6[1]=w[5][0]*tab[i+5*stg_first].imag()+w[5][1]*tab[i+5*stg_first].real();
tmp7[0]=w[6][0]*tab[i+6*stg_first].real()-w[6][1]*tab[i+6*stg_first].imag();
tmp7[1]=w[6][0]*tab[i+6*stg_first].imag()+w[6][1]*tab[i+6*stg_first].real();
tmp8[0]=w[7][0]*tab[i+7*stg_first].real()-w[7][1]*tab[i+7*stg_first].imag();
tmp8[1]=w[7][0]*tab[i+7*stg_first].imag()+w[7][1]*tab[i+7*stg_first].real();
tmp9[0]=w[8][0]*tab[i+8*stg_first].real()-w[8][1]*tab[i+8*stg_first].imag();
tmp9[1]=w[8][0]*tab[i+8*stg_first].imag()+w[8][1]*tab[i+8*stg_first].real();
tmp10[0]=w[9][0]*tab[i+9*stg_first].real()-w[9][1]*tab[i+9*stg_first].imag();
tmp10[1]=w[9][0]*tab[i+9*stg_first].imag()+w[9][1]*tab[i+9*stg_first].real();
tmp11[0]=w[10][0]*tab[i+10*stg_first].real()-w[10][1]*tab[i+10*stg_first].imag();
tmp11[1]=w[10][0]*tab[i+10*stg_first].imag()+w[10][1]*tab[i+10*stg_first].real();
tmp30[0]=z[0][0]*tmp1[0]-z[0][1]*tmp1[1];
tmp30[1]=z[0][0]*tmp1[1]+z[0][1]*tmp1[0];
tmp20[0]=z[0][0]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]+tmp8[0]+tmp9[0]+tmp10[0]+tmp11[0])-z[0][1]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]+tmp8[1]+tmp9[1]+tmp10[1]+tmp11[1]);
tmp20[1]=z[0][0]*(tmp1[1]+tmp2[1]+tmp3[1]+tmp4[1]+tmp5[1]+tmp6[1]+tmp7[1]+tmp8[1]+tmp9[1]+tmp10[1]+tmp11[1])+z[0][1]*(tmp1[0]+tmp2[0]+tmp3[0]+tmp4[0]+tmp5[0]+tmp6[0]+tmp7[0]+tmp8[0]+tmp9[0]+tmp10[0]+tmp11[0]);
//radix-11
tab[i+0*stg_first].real(tmp20[0]);
tab[i+0*stg_first].imag(tmp20[1]);
tab[i+1*stg_first].real(tmp30[0]+z[1][0]*tmp2[0]-z[1][1]*tmp2[1]+z[2][0]*tmp3[0]-z[2][1]*tmp3[1]+z[3][0]*tmp4[0]-z[3][1]*tmp4[1]+z[4][0]*tmp5[0]-z[4][1]*tmp5[1]+z[5][0]*tmp6[0]-z[5][1]*tmp6[1]+
z[6][0]*tmp7[0]-z[6][1]*tmp7[1]+z[7][0]*tmp8[0]-z[7][1]*tmp8[1]+z[8][0]*tmp9[0]-z[8][1]*tmp9[1]+z[9][0]*tmp10[0]-z[9][1]*tmp10[1]+z[10][0]*tmp11[0]-z[10][1]*tmp11[1]);
tab[i+1*stg_first].imag(tmp30[1]+z[1][0]*tmp2[1]+z[1][1]*tmp2[0]+z[2][0]*tmp3[1]+z[2][1]*tmp3[0]+z[3][0]*tmp4[1]+z[3][1]*tmp4[0]+z[4][0]*tmp5[1]+z[4][1]*tmp5[0]+z[5][0]*tmp6[1]+z[5][1]*tmp6[0]+
z[6][0]*tmp7[1]+z[6][1]*tmp7[0]+z[7][0]*tmp8[1]+z[7][1]*tmp8[0]+z[8][0]*tmp9[1]+z[8][1]*tmp9[0]+z[9][0]*tmp10[1]+z[9][1]*tmp10[0]+z[10][0]*tmp11[1]+z[10][1]*tmp11[0]);
tab[i+2*stg_first].real(tmp30[0]+z[2][0]*tmp2[0]-z[2][1]*tmp2[1]+z[4][0]*tmp3[0]-z[4][1]*tmp3[1]+z[6][0]*tmp4[0]-z[6][1]*tmp4[1]+z[8][0]*tmp5[0]-z[8][1]*tmp5[1]+z[10][0]*tmp6[0]-z[10][1]*tmp6[1]+
z[1][0]*tmp7[0]-z[1][1]*tmp7[1]+z[3][0]*tmp8[0]-z[3][1]*tmp8[1]+z[5][0]*tmp9[0]-z[5][1]*tmp9[1]+z[7][0]*tmp10[0]-z[7][1]*tmp10[1]+z[9][0]*tmp11[0]-z[9][1]*tmp11[1]);
tab[i+2*stg_first].imag(tmp30[1]+z[2][0]*tmp2[1]+z[2][1]*tmp2[0]+z[4][0]*tmp3[1]+z[4][1]*tmp3[0]+z[6][0]*tmp4[1]+z[6][1]*tmp4[0]+z[8][0]*tmp5[1]+z[8][1]*tmp5[0]+z[10][0]*tmp6[1]+z[10][1]*tmp6[0]+
z[1][0]*tmp7[1]+z[1][1]*tmp7[0]+z[3][0]*tmp8[1]+z[3][1]*tmp8[0]+z[5][0]*tmp9[1]+z[5][1]*tmp9[0]+z[7][0]*tmp10[1]+z[7][1]*tmp10[0]+z[9][0]*tmp11[1]+z[9][1]*tmp11[0]);
tab[i+3*stg_first].real(tmp30[0]+z[3][0]*tmp2[0]-z[3][1]*tmp2[1]+z[6][0]*tmp3[0]-z[6][1]*tmp3[1]+z[9][0]*tmp4[0]-z[9][1]*tmp4[1]+z[1][0]*tmp5[0]-z[1][1]*tmp5[1]+z[4][0]*tmp6[0]-z[4][1]*tmp6[1]+
z[7][0]*tmp7[0]-z[7][1]*tmp7[1]+z[10][0]*tmp8[0]-z[10][1]*tmp8[1]+z[2][0]*tmp9[0]-z[2][1]*tmp9[1]+z[5][0]*tmp10[0]-z[5][1]*tmp10[1]+z[8][0]*tmp11[0]-z[8][1]*tmp11[1]);
tab[i+3*stg_first].imag(tmp30[1]+z[3][0]*tmp2[1]+z[3][1]*tmp2[0]+z[6][0]*tmp3[1]+z[6][1]*tmp3[0]+z[9][0]*tmp4[1]+z[9][1]*tmp4[0]+z[1][0]*tmp5[1]+z[1][1]*tmp5[0]+z[4][0]*tmp6[1]+z[4][1]*tmp6[0]+
z[7][0]*tmp7[1]+z[7][1]*tmp7[0]+z[10][0]*tmp8[1]+z[10][1]*tmp8[0]+z[2][0]*tmp9[1]+z[2][1]*tmp9[0]+z[5][0]*tmp10[1]+z[5][1]*tmp10[0]+z[8][0]*tmp11[1]+z[8][1]*tmp11[0]);
tab[i+4*stg_first].real(tmp30[0]+z[4][0]*tmp2[0]-z[4][1]*tmp2[1]+z[8][0]*tmp3[0]-z[8][1]*tmp3[1]+z[1][0]*tmp4[0]-z[1][1]*tmp4[1]+z[5][0]*tmp5[0]-z[5][1]*tmp5[1]+z[9][0]*tmp6[0]-z[9][1]*tmp6[1]+
z[2][0]*tmp7[0]-z[2][1]*tmp7[1]+z[6][0]*tmp8[0]-z[6][1]*tmp8[1]+z[10][0]*tmp9[0]-z[10][1]*tmp9[1]+z[3][0]*tmp10[0]-z[3][1]*tmp10[1]+z[7][0]*tmp11[0]-z[7][1]*tmp11[1]);
tab[i+4*stg_first].imag(tmp30[1]+z[4][0]*tmp2[1]+z[4][1]*tmp2[0]+z[8][0]*tmp3[1]+z[8][1]*tmp3[0]+z[1][0]*tmp4[1]+z[1][1]*tmp4[0]+z[5][0]*tmp5[1]+z[5][1]*tmp5[0]+z[9][0]*tmp6[1]+z[9][1]*tmp6[0]+
z[2][0]*tmp7[1]+z[2][1]*tmp7[0]+z[6][0]*tmp8[1]+z[6][1]*tmp8[0]+z[10][0]*tmp9[1]+z[10][1]*tmp9[0]+z[3][0]*tmp10[1]+z[3][1]*tmp10[0]+z[7][0]*tmp11[1]+z[7][1]*tmp11[0]);
tab[i+5*stg_first].real(tmp30[0]+z[5][0]*tmp2[0]-z[5][1]*tmp2[1]+z[10][0]*tmp3[0]-z[10][1]*tmp3[1]+z[4][0]*tmp4[0]-z[4][1]*tmp4[1]+z[9][0]*tmp5[0]-z[9][1]*tmp5[1]+z[3][0]*tmp6[0]-z[3][1]*tmp6[1]+
z[8][0]*tmp7[0]-z[8][1]*tmp7[1]+z[2][0]*tmp8[0]-z[2][1]*tmp8[1]+z[7][0]*tmp9[0]-z[7][1]*tmp9[1]+z[1][0]*tmp10[0]-z[1][1]*tmp10[1]+z[6][0]*tmp11[0]-z[6][1]*tmp11[1]);
tab[i+5*stg_first].imag(tmp30[1]+z[5][0]*tmp2[1]+z[5][1]*tmp2[0]+z[10][0]*tmp3[1]+z[10][1]*tmp3[0]+z[4][0]*tmp4[1]+z[4][1]*tmp4[0]+z[9][0]*tmp5[1]+z[9][1]*tmp5[0]+z[3][0]*tmp6[1]+z[3][1]*tmp6[0]+
z[8][0]*tmp7[1]+z[8][1]*tmp7[0]+z[2][0]*tmp8[1]+z[2][1]*tmp8[0]+z[7][0]*tmp9[1]+z[7][1]*tmp9[0]+z[1][0]*tmp10[1]+z[1][1]*tmp10[0]+z[6][0]*tmp11[1]+z[6][1]*tmp11[0]);
tab[i+6*stg_first].real(tmp30[0]+z[6][0]*tmp2[0]-z[6][1]*tmp2[1]+z[1][0]*tmp3[0]-z[1][1]*tmp3[1]+z[7][0]*tmp4[0]-z[7][1]*tmp4[1]+z[2][0]*tmp5[0]-z[2][1]*tmp5[1]+z[8][0]*tmp6[0]-z[8][1]*tmp6[1]+
z[3][0]*tmp7[0]-z[3][1]*tmp7[1]+z[9][0]*tmp8[0]-z[9][1]*tmp8[1]+z[4][0]*tmp9[0]-z[4][1]*tmp9[1]+z[10][0]*tmp10[0]-z[10][1]*tmp10[1]+z[5][0]*tmp11[0]-z[5][1]*tmp11[1]);
tab[i+6*stg_first].imag(tmp30[1]+z[6][0]*tmp2[1]+z[6][1]*tmp2[0]+z[1][0]*tmp3[1]+z[1][1]*tmp3[0]+z[7][0]*tmp4[1]+z[7][1]*tmp4[0]+z[2][0]*tmp5[1]+z[2][1]*tmp5[0]+z[8][0]*tmp6[1]+z[8][1]*tmp6[0]+
z[3][0]*tmp7[1]+z[3][1]*tmp7[0]+z[9][0]*tmp8[1]+z[9][1]*tmp8[0]+z[4][0]*tmp9[1]+z[4][1]*tmp9[0]+z[10][0]*tmp10[1]+z[10][1]*tmp10[0]+z[5][0]*tmp11[1]+z[5][1]*tmp11[0]);
tab[i+7*stg_first].real(tmp30[0]+z[7][0]*tmp2[0]-z[7][1]*tmp2[1]+z[3][0]*tmp3[0]-z[3][1]*tmp3[1]+z[10][0]*tmp4[0]-z[10][1]*tmp4[1]+z[6][0]*tmp5[0]-z[6][1]*tmp5[1]+z[2][0]*tmp6[0]-z[2][1]*tmp6[1]+
z[9][0]*tmp7[0]-z[9][1]*tmp7[1]+z[5][0]*tmp8[0]-z[5][1]*tmp8[1]+z[1][0]*tmp9[0]-z[1][1]*tmp9[1]+z[8][0]*tmp10[0]-z[8][1]*tmp10[1]+z[4][0]*tmp11[0]-z[4][1]*tmp11[1]);
tab[i+7*stg_first].imag(tmp30[1]+z[7][0]*tmp2[1]+z[7][1]*tmp2[0]+z[3][0]*tmp3[1]+z[3][1]*tmp3[0]+z[10][0]*tmp4[1]+z[10][1]*tmp4[0]+z[6][0]*tmp5[1]+z[6][1]*tmp5[0]+z[2][0]*tmp6[1]+z[2][1]*tmp6[0]+
z[9][0]*tmp7[1]+z[9][1]*tmp7[0]+z[5][0]*tmp8[1]+z[5][1]*tmp8[0]+z[1][0]*tmp9[1]+z[1][1]*tmp9[0]+z[8][0]*tmp10[1]+z[8][1]*tmp10[0]+z[4][0]*tmp11[1]+z[4][1]*tmp11[0]);
tab[i+8*stg_first].real(tmp30[0]+z[8][0]*tmp2[0]-z[8][1]*tmp2[1]+z[5][0]*tmp3[0]-z[5][1]*tmp3[1]+z[2][0]*tmp4[0]-z[2][1]*tmp4[1]+z[10][0]*tmp5[0]-z[10][1]*tmp5[1]+z[7][0]*tmp6[0]-z[7][1]*tmp6[1]+
z[4][0]*tmp7[0]-z[4][1]*tmp7[1]+z[1][0]*tmp8[0]-z[1][1]*tmp8[1]+z[9][0]*tmp9[0]-z[9][1]*tmp9[1]+z[6][0]*tmp10[0]-z[6][1]*tmp10[1]+z[3][0]*tmp11[0]-z[3][1]*tmp11[1]);
tab[i+8*stg_first].imag(tmp30[1]+z[8][0]*tmp2[1]+z[8][1]*tmp2[0]+z[5][0]*tmp3[1]+z[5][1]*tmp3[0]+z[2][0]*tmp4[1]+z[2][1]*tmp4[0]+z[10][0]*tmp5[1]+z[10][1]*tmp5[0]+z[7][0]*tmp6[1]+z[7][1]*tmp6[0]+
z[4][0]*tmp7[1]+z[4][1]*tmp7[0]+z[1][0]*tmp8[1]+z[1][1]*tmp8[0]+z[9][0]*tmp9[1]+z[9][1]*tmp9[0]+z[6][0]*tmp10[1]+z[6][1]*tmp10[0]+z[3][0]*tmp11[1]+z[3][1]*tmp11[0]);
tab[i+9*stg_first].real(tmp30[0]+z[9][0]*tmp2[0]-z[9][1]*tmp2[1]+z[7][0]*tmp3[0]-z[7][1]*tmp3[1]+z[5][0]*tmp4[0]-z[5][1]*tmp4[1]+z[3][0]*tmp5[0]-z[3][1]*tmp5[1]+z[1][0]*tmp6[0]-z[1][1]*tmp6[1]+
z[10][0]*tmp7[0]-z[10][1]*tmp7[1]+z[8][0]*tmp8[0]-z[8][1]*tmp8[1]+z[6][0]*tmp9[0]-z[6][1]*tmp9[1]+z[4][0]*tmp10[0]-z[4][1]*tmp10[1]+z[2][0]*tmp11[0]-z[2][1]*tmp11[1]);
tab[i+9*stg_first].imag(tmp30[1]+z[9][0]*tmp2[1]+z[9][1]*tmp2[0]+z[7][0]*tmp3[1]+z[7][1]*tmp3[0]+z[5][0]*tmp4[1]+z[5][1]*tmp4[0]+z[3][0]*tmp5[1]+z[3][1]*tmp5[0]+z[1][0]*tmp6[1]+z[1][1]*tmp6[0]+
z[10][0]*tmp7[1]+z[10][1]*tmp7[0]+z[8][0]*tmp8[1]+z[8][1]*tmp8[0]+z[6][0]*tmp9[1]+z[6][1]*tmp9[0]+z[4][0]*tmp10[1]+z[4][1]*tmp10[0]+z[2][0]*tmp11[1]+z[2][1]*tmp11[0]);
tab[i+10*stg_first].real(tmp30[0]+z[10][0]*tmp2[0]-z[10][1]*tmp2[1]+z[9][0]*tmp3[0]-z[9][1]*tmp3[1]+z[8][0]*tmp4[0]-z[8][1]*tmp4[1]+z[7][0]*tmp5[0]-z[7][1]*tmp5[1]+z[6][0]*tmp6[0]-z[6][1]*tmp6[1]+
z[5][0]*tmp7[0]-z[5][1]*tmp7[1]+z[4][0]*tmp8[0]-z[4][1]*tmp8[1]+z[3][0]*tmp9[0]-z[3][1]*tmp9[1]+z[2][0]*tmp10[0]-z[2][1]*tmp10[1]+z[1][0]*tmp11[0]-z[1][1]*tmp11[1]);
tab[i+10*stg_first].imag(tmp30[1]+z[10][0]*tmp2[1]+z[10][1]*tmp2[0]+z[9][0]*tmp3[1]+z[9][1]*tmp3[0]+z[8][0]*tmp4[1]+z[8][1]*tmp4[0]+z[7][0]*tmp5[1]+z[7][1]*tmp5[0]+z[6][0]*tmp6[1]+z[6][1]*tmp6[0]+
z[5][0]*tmp7[1]+z[5][1]*tmp7[0]+z[4][0]*tmp8[1]+z[4][1]*tmp8[0]+z[3][0]*tmp9[1]+z[3][1]*tmp9[0]+z[2][0]*tmp10[1]+z[2][1]*tmp10[0]+z[1][0]*tmp11[1]+z[1][1]*tmp11[0]);
}
}
///////////////////////////////////////////////////
//this is new in that method and fi:
//when you want to have equal results that are in false modificator in normal FFT then change this:
/*
fun_fourier_transform_FFT_radix_4_N_256_official
{
for(int j=0;j<N;j++)
{
tab[j].real() =tab[j].real()*2/N;
tab[j].imag() =tab[j].imag()*2/N;
}
}
//and:
fun_inverse_fourier_transform_FFT_radix_4_N_256_official
{
for(int j=0;j<N;j++)
{
tab[j].real() =tab[j].real()*0.5;
tab[j].imag() =tab[j].imag()*0.5;
}
}
//for official modificator that is only in inverse FFT:
fun_fourier_transform_FFT_radix_4_N_256_official
{
}
fun_inverse_fourier_transform_FFT_radix_4_N_256_official
{
for(int i=0;i<N;i++)
{
tablica1[0][i]=tablica1[0][i]*1/(float)N;
tablica1[1][i]=tablica1[1][i]*1/(float)N;
}
}
//haven't try it with other function that cos(x)+jsin(x)=sin(x+pi/2)+jsin(x) that is mirror inverse
*/
Subskrybuj:
Posty (Atom)