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tests: add Test_planned_fft exercising PlannedFFT<vobj>
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
This commit is contained in:
Peter Boyle
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/core/Test_planned_fft.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#include <Grid/Grid.h>
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using namespace Grid;
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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int threads = GridThread::GetThreads();
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std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout = GridDefaultSimd(Nd,vComplexD::Nsimd());
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Coordinate mpi_layout = GridDefaultMpi();
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int vol = 1;
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for(int d=0;d<latt_size.size();d++) vol *= latt_size[d];
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GridCartesian GRID(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGRID(&GRID);
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LatticeComplexD one(&GRID);
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LatticeComplexD zz(&GRID);
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LatticeComplexD C(&GRID);
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LatticeComplexD Ctilde(&GRID);
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LatticeComplexD Cref (&GRID);
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LatticeComplexD Csav (&GRID);
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LatticeComplexD coor(&GRID);
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LatticeSpinMatrixD S(&GRID);
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LatticeSpinMatrixD Stilde(&GRID);
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Coordinate p({1,3,2,3});
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one = ComplexD(1.0,0.0);
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zz = ComplexD(0.0,0.0);
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ComplexD ci(0.0,1.0);
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std::cout<<"*************************************************"<<std::endl;
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std::cout<<"Testing Fourier form of known plane wave "<<std::endl;
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std::cout<<"*************************************************"<<std::endl;
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C=Zero();
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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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}
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C = exp(C*ci);
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Csav = C;
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S=Zero();
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S = S+C;
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// PlannedFFT creates all plans at construction; separate instances per vobj type.
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PlannedFFT<LatticeComplexD> theFFT(&GRID);
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PlannedFFT<LatticeSpinMatrixD> theFFT_spin(&GRID);
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Ctilde=C;
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std::cout<<" Benchmarking PlannedFFT of LatticeComplex "<<std::endl;
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theFFT.FFT_dim(Ctilde,Ctilde,0,FFTbase::forward); std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,Ctilde,1,FFTbase::forward); std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,Ctilde,2,FFTbase::forward); std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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theFFT.FFT_dim(Ctilde,Ctilde,3,FFTbase::forward); std::cout << theFFT.MFlops()<<" Mflops "<<std::endl;
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TComplexD cVol;
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cVol()()() = vol;
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Cref=Zero();
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pokeSite(cVol,Cref,p);
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Cref=Cref-Ctilde;
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std::cout << "diff scalar "<<norm2(Cref) << std::endl;
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C=Csav;
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theFFT.FFT_all_dim(Ctilde,C,FFTbase::forward);
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theFFT.FFT_all_dim(Cref,Ctilde,FFTbase::backward);
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std::cout << norm2(C) << " " << norm2(Ctilde) << " " << norm2(Cref)<< " vol " << vol<< std::endl;
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Cref= Cref - C;
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std::cout << " invertible check " << norm2(Cref)<<std::endl;
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Stilde=S;
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std::cout<<" Benchmarking PlannedFFT of LatticeSpinMatrix "<<std::endl;
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theFFT_spin.FFT_dim(Stilde,Stilde,0,FFTbase::forward); std::cout << theFFT_spin.MFlops()<<" mflops "<<std::endl;
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theFFT_spin.FFT_dim(Stilde,Stilde,1,FFTbase::forward); std::cout << theFFT_spin.MFlops()<<" mflops "<<std::endl;
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theFFT_spin.FFT_dim(Stilde,Stilde,2,FFTbase::forward); std::cout << theFFT_spin.MFlops()<<" mflops "<<std::endl;
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theFFT_spin.FFT_dim(Stilde,Stilde,3,FFTbase::forward); std::cout << theFFT_spin.MFlops()<<" mflops "<<std::endl;
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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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std::vector<int> seeds({1,2,3,4});
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(seeds);
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GridParallelRNG pRNG(&GRID);
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pRNG.SeedFixedIntegers(seeds);
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LatticeGaugeFieldD Umu(&GRID);
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SU<Nc>::ColdConfiguration(pRNG,Umu);
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////////////////////////////////////////////////////
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// Wilson test
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////////////////////////////////////////////////////
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{
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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RealD mass=0.01;
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WilsonFermionD Dw(Umu,GRID,RBGRID,mass);
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Dw.M(src,tmp);
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std::cout << "Dw src = " <<norm2(src)<<std::endl;
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std::cout << "Dw tmp = " <<norm2(tmp)<<std::endl;
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Dw.FreePropagator(tmp,ref,mass);
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std::cout << "Dw ref = " <<norm2(ref)<<std::endl;
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ref = ref - src;
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std::cout << "Dw ref-src = " <<norm2(ref)<<std::endl;
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}
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////////////////////////////////////////////////////
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// Dwf matrix — verify Fourier representation using PlannedFFT<LatticeFermionD>
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout<<"Testing Fourier representation of Ddwf"<<std::endl;
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std::cout<<"****************************************"<<std::endl;
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const int Ls=16;
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const int sdir=0;
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RealD mass=0.01;
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RealD M5 =1.0;
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Gamma G5(Gamma::Algebra::Gamma5);
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5);
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GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds);
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LatticeFermionD src5(FGrid); gaussian(RNG5,src5);
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LatticeFermionD src5_p(FGrid);
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LatticeFermionD result5(FGrid);
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LatticeFermionD ref5(FGrid);
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LatticeFermionD tmp5(FGrid);
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Ddwf.M(src5,tmp5);
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ref5 = tmp5;
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PlannedFFT<LatticeFermionD> theFFT5(FGrid);
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theFFT5.FFT_dim(result5,tmp5,1,FFTbase::forward); tmp5 = result5;
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std::cout<<"Fourier xformed Ddwf 1 "<<norm2(result5)<<std::endl;
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theFFT5.FFT_dim(result5,tmp5,2,FFTbase::forward); tmp5 = result5;
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std::cout<<"Fourier xformed Ddwf 2 "<<norm2(result5)<<std::endl;
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theFFT5.FFT_dim(result5,tmp5,3,FFTbase::forward); tmp5 = result5;
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std::cout<<"Fourier xformed Ddwf 3 "<<norm2(result5)<<std::endl;
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theFFT5.FFT_dim(result5,tmp5,4,FFTbase::forward);
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std::cout<<"Fourier xformed Ddwf 4 "<<norm2(result5)<<std::endl;
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result5 = result5*ComplexD(::sqrt(1.0/vol),0.0);
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std::cout<<"Fourier xformed Ddwf "<<norm2(result5)<<std::endl;
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tmp5 = src5;
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theFFT5.FFT_dim(src5_p,tmp5,1,FFTbase::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,2,FFTbase::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,3,FFTbase::forward); tmp5 = src5_p;
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theFFT5.FFT_dim(src5_p,tmp5,4,FFTbase::forward); src5_p = src5_p*ComplexD(::sqrt(1.0/vol),0.0);
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std::cout<<"Fourier xformed src5"<< norm2(src5)<<" -> "<<norm2(src5_p)<<std::endl;
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Gamma::Algebra Gmu [] = {
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Gamma::Algebra::GammaX,
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Gamma::Algebra::GammaY,
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Gamma::Algebra::GammaZ,
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Gamma::Algebra::GammaT,
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Gamma::Algebra::Gamma5
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};
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LatticeFermionD Kinetic(FGrid); Kinetic = Zero();
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LatticeComplexD kmu(FGrid);
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LatticeInteger scoor(FGrid);
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LatticeComplexD sk (FGrid); sk = Zero();
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LatticeComplexD sk2(FGrid); sk2= Zero();
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LatticeComplexD W(FGrid); W= Zero();
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LatticeComplexD one5(FGrid); one5 =ComplexD(1.0,0.0);
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for(int mu=0;mu<Nd;mu++) {
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LatticeCoordinate(kmu,mu+1);
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RealD TwoPiL = M_PI * 2.0/ latt_size[mu];
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kmu = TwoPiL * kmu;
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sk2 = sk2 + 2.0*sin(kmu*0.5)*sin(kmu*0.5);
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sk = sk + sin(kmu) *sin(kmu);
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Kinetic = Kinetic + sin(kmu)*ci*(Gamma(Gmu[mu])*src5_p);
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}
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std::cout << " src5 "<<norm2(src5_p)<<std::endl;
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std::cout << " Kinetic "<<norm2(Kinetic)<<std::endl;
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W = one5 - M5 + sk2;
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std::cout << " W "<<norm2(W)<<std::endl;
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Kinetic = Kinetic + W * src5_p;
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std::cout << " Kinetic "<<norm2(Kinetic)<<std::endl;
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LatticeCoordinate(scoor,sdir);
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tmp5 = Cshift(src5_p,sdir,+1);
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tmp5 = (tmp5 - G5*tmp5)*0.5;
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tmp5 = where(scoor==Integer(Ls-1),mass*tmp5,-tmp5);
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Kinetic = Kinetic + tmp5;
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tmp5 = Cshift(src5_p,sdir,-1);
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tmp5 = (tmp5 + G5*tmp5)*0.5;
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tmp5 = where(scoor==Integer(0),mass*tmp5,-tmp5);
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Kinetic = Kinetic + tmp5;
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std::cout<<"Momentum space Ddwf "<< norm2(Kinetic)<<std::endl;
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std::cout<<"Stencil Ddwf "<< norm2(result5)<<std::endl;
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result5 = result5 - Kinetic;
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std::cout<<"diff "<< norm2(result5)<<std::endl;
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GRID_ASSERT(norm2(result5)<1.0e-4);
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}
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////////////////////////////////////////////////////
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// Dwf prop
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////////////////////////////////////////////////////
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{
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std::cout<<"****************************************"<<std::endl;
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std::cout << "Testing Ddwf Ht Mom space 4d propagator \n";
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std::cout<<"****************************************"<<std::endl;
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LatticeFermionD src(&GRID); gaussian(pRNG,src);
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LatticeFermionD tmp(&GRID);
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LatticeFermionD ref(&GRID);
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LatticeFermionD diff(&GRID);
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Coordinate point(4,0);
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src=Zero();
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SpinColourVectorD ferm; gaussian(sRNG,ferm);
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pokeSite(ferm,src,point);
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const int Ls=32;
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GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,&GRID);
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GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,&GRID);
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RealD mass=0.01;
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RealD M5 =0.8;
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DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,GRID,RBGRID,mass,M5);
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std::cout << " Solving by FFT and Feynman rules" <<std::endl;
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bool fiveD = false;
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Ddwf.FreePropagator(src,ref,mass,fiveD);
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Gamma G5(Gamma::Algebra::Gamma5);
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LatticeFermionD src5(FGrid); src5=Zero();
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LatticeFermionD tmp5(FGrid);
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LatticeFermionD result5(FGrid); result5=Zero();
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LatticeFermionD result4(&GRID);
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const int sdir=0;
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tmp = (src + G5*src)*0.5; InsertSlice(tmp,src5, 0,sdir);
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tmp = (src - G5*src)*0.5; InsertSlice(tmp,src5,Ls-1,sdir);
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std::cout << " Solving by Conjugate Gradient (CGNE)" <<std::endl;
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Ddwf.Mdag(src5,tmp5);
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src5=tmp5;
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MdagMLinearOperator<DomainWallFermionD,LatticeFermionD> HermOp(Ddwf);
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ConjugateGradient<LatticeFermionD> CG(1.0e-8,10000);
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CG(HermOp,src5,result5);
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ExtractSlice(tmp,result5,0 ,sdir); result4 = (tmp-G5*tmp)*0.5;
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ExtractSlice(tmp,result5,Ls-1,sdir); result4 = result4+(tmp+G5*tmp)*0.5;
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std::cout << " Taking difference" <<std::endl;
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std::cout << "Ddwf result4 "<<norm2(result4)<<std::endl;
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std::cout << "Ddwf ref "<<norm2(ref)<<std::endl;
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diff = ref - result4;
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std::cout << "result - ref "<<norm2(diff)<<std::endl;
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GRID_ASSERT(norm2(diff)<1.0e-4);
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}
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Grid_finalize();
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}
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