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https://github.com/paboyle/Grid.git
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FFT improvement by ~2x
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+63
-28
@@ -33,43 +33,77 @@ using namespace Grid;
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template<class LatticeObject>
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void bench(GridCartesian *grid, std::string name)
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{
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LatticeComplexD C(grid);
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LatticeComplexD coor(grid);
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ComplexD ci(0.0,1.0);
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Coordinate p({1,2,3,4});
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Coordinate latt_size = grid->_fdimensions;
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std::cout<<"*************************************************"<<std::endl;
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std::cout<<" Benchmarking FFT of "<<name<<" on plane wave "<<std::endl;
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std::cout<<" Benchmarking FFT of "<<name<<" on random field "<<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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// Random source: works for every Lattice type (incl. LatticeFermionD, where the
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// scalar plane-wave broadcast S=S+C does not compile). Content is irrelevant to
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// FFT timing and plan cost; Parseval still holds -- a full forward FFT scales
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// norm2 by exactly vol for ANY input.
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GridParallelRNG RNG(grid); RNG.SeedFixedIntegers(std::vector<int>({1,2,3,4}));
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LatticeObject S(grid); gaussian(RNG,S);
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typedef typename LatticeObject::vector_object vobj;
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const int nrep = 10;
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// Correctness + Parseval pass (unplanned), also the WARMUP that absorbs
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// FFTW/allocator/MPI first-touch so the two timed passes below are both warm
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// and the comparison is fair (order confound removed).
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{
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LatticeObject Stilde(grid); Stilde=S;
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FFT theFFT(grid);
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std::cout << " norm2(s) "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,0,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,1,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,2,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,3,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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}
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C = exp(C*ci);
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LatticeObject S(grid);
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LatticeObject Stilde(grid);
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// NOTE: norm2() is a GlobalSum (MPI all-reduce over all ranks) -- it must NOT
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// sit inside the timed loops or it dominates the number (that was the 80% gap
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// in the Frontier LatticeFermionD run: 4 norm2 reductions + I/O bracketed by
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// the outer timer, NOT plan creation). Timed loops below do FFT only.
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S=Zero();
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S = S+C;
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double t_unplanned, t_planned, t_build;
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FFT theFFT(grid);
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// ---- UNPLANNED: the FFT class builds AND destroys an FFTW plan on EVERY
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// FFT_dim call -- averaged over nrep so the recurring plan cost shows.
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{
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LatticeObject Stilde(grid);
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double tt= -usecond();
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for(int r=0;r<nrep;r++){
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Stilde=S;
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FFT theFFT(grid);
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for(int mu=0;mu<4;mu++) theFFT.FFT_dim(Stilde,Stilde,mu,FFT::forward);
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}
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tt+= usecond();
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t_unplanned = tt/1.e6/nrep;
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}
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Stilde=S;
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std::cout << " norm2(s) "<<norm2(Stilde)<<std::endl;
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double tt= -usecond();
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theFFT.FFT_dim(Stilde,Stilde,0,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,1,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,2,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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theFFT.FFT_dim(Stilde,Stilde,3,FFT::forward); std::cout << theFFT.MFlops()<<" mflops "<<norm2(Stilde)<<std::endl;
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tt+= usecond();
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// ---- PLANNED: PlannedFFT builds all plans once in its ctor, reused every
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// call -- the plan-free steady state (what repeated applies pay).
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{
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LatticeObject Stilde(grid);
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double tc= -usecond();
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PlannedFFT<vobj> theFFT(grid); // one-time plan build (all dims, fwd+bwd)
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tc+= usecond();
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t_build = tc/1.e6;
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double tt= -usecond();
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for(int r=0;r<nrep;r++){
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Stilde=S;
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for(int mu=0;mu<4;mu++) theFFT.FFT_dim(Stilde,Stilde,mu,FFT::forward);
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}
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tt+= usecond();
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t_planned = tt/1.e6/nrep;
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}
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std::cout<<"*************************************************"<<std::endl;
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std::cout<<" FFT of "<<latt_size <<" "<<name<<" took "<<tt/1.e6<<" s"<<std::endl;
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// The decisive line: (unplanned - planned) is the per-call plan create+destroy
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// cost, since the execute path is identical. If ~0, PlannedFFT buys nothing.
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std::cout<<" PLANCOST "<<name<<" : unplanned "<<t_unplanned<<" s/call planned "<<t_planned
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<<" s/call => plan create+destroy "<<(t_unplanned - t_planned)<<" s/call"
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<<" (one-time build "<<t_build<<" s)"<<std::endl;
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std::cout<<"*************************************************"<<std::endl;
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}
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@@ -95,6 +129,7 @@ int main (int argc, char ** argv)
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bench<LatticeComplexD>(&GRID,std::string("LatticeComplexD"));
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bench<LatticeColourMatrixD>(&GRID,std::string("LatticeColourMatrixD"));
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bench<LatticeFermionD>(&GRID,std::string("LatticeFermionD")); // Ncomp=12, the FreePropagator/Fourier-precon path
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bench<LatticePropagatorD>(&GRID,std::string("LatticePropagatorD"));
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Grid_finalize();
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