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	FFT improved and test_FFT passing under MPI 8 processes, 8^4 for LatticeComplexD and LatticeSpinMatrixD
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		@@ -39,6 +39,10 @@ int main (int argc, char ** argv)
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  std::vector<int> simd_layout( { vComplexD::Nsimd(),1,1,1});
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  std::vector<int> mpi_layout  = GridDefaultMpi();
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  int vol = 1;
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  for(int d=0;d<latt_size.size();d++){
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    vol = vol * latt_size[d];
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  }
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  GridCartesian        Fine(latt_size,simd_layout,mpi_layout);
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  LatticeComplexD     one(&Fine);
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@@ -46,8 +50,11 @@ int main (int argc, char ** argv)
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  LatticeComplexD       C(&Fine);
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  LatticeComplexD  Ctilde(&Fine);
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  LatticeComplexD    coor(&Fine);
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  LatticeSpinMatrixD    S(&Fine);
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  LatticeSpinMatrixD    Stilde(&Fine);
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  std::vector<RealD> p({1.0,2.0,3.0,2.0});
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  std::vector<int> p({1,2,3,2});
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  one = ComplexD(1.0,0.0);
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  zz  = ComplexD(0.0,0.0);
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@@ -58,30 +65,44 @@ int main (int argc, char ** argv)
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  for(int mu=0;mu<4;mu++){
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    RealD TwoPiL =  M_PI * 2.0/ latt_size[mu];
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    LatticeCoordinate(coor,mu);
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    C = C - TwoPiL * p[mu] * coor;
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    C = C - (TwoPiL * p[mu]) * coor;
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  }
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  std::cout << GridLogMessage<< " C " << C<<std::endl;
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  C = exp(C*ci);
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  C = C*ci;
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  std::cout << GridLogMessage<< " C " << C<<std::endl;
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  C = exp(C);
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  std::cout << GridLogMessage<< " C " << C<<std::endl;
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  S=zero;
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  S = S+C;
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  FFT theFFT(&Fine);
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  theFFT.FFT_dim(Ctilde,C,0,FFT::forward);
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  std::cout << GridLogMessage<< "FT[C] " << Ctilde<<std::endl;
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  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,1,FFT::forward);
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  std::cout << GridLogMessage<< "FT[C] " << Ctilde<<std::endl;
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  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,2,FFT::forward);
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  std::cout << GridLogMessage<< "FT[C] " << Ctilde<<std::endl;
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  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,0,FFT::forward);  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,1,FFT::forward);  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,2,FFT::forward);  C=Ctilde;
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  theFFT.FFT_dim(Ctilde,C,3,FFT::forward);
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  std::cout << GridLogMessage<< "FT[C] " << Ctilde<<std::endl;
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  //  C=zero;
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  //  Ctilde = where(abs(Ctilde)<1.0e-10,C,Ctilde);
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  TComplexD cVol;
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  cVol()()() = vol;
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  C=zero;
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  pokeSite(cVol,C,p);
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  C=C-Ctilde;
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  std::cout << "diff scalar "<<norm2(C) << std::endl;
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  theFFT.FFT_dim(Stilde,S,0,FFT::forward);  S=Stilde;
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  theFFT.FFT_dim(Stilde,S,1,FFT::forward);  S=Stilde;
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  theFFT.FFT_dim(Stilde,S,2,FFT::forward);  S=Stilde;
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  theFFT.FFT_dim(Stilde,S,3,FFT::forward);
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  SpinMatrixD Sp; 
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  Sp = zero; Sp = Sp+cVol;
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  S=zero;
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  pokeSite(Sp,S,p);
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  S= S-Stilde;
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  std::cout << "diff FT[SpinMat] "<<norm2(S) << std::endl;
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  Grid_finalize();
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}
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