Grid/Grid_main.cc

#include "Grid.h"
#include "Grid_vRealD.h"
#include "Grid_vRealF.h"
#include "Grid_vComplexD.h"
#include "Grid_vComplexF.h"
#include "Grid_Cartesian.h"
#include "Grid_Lattice.h"

using namespace std;
using namespace Grid;
using namespace Grid::QCD;


int main (int argc, char ** argv)
{
  Grid_init(&argc,&argv);

  std::vector<int> latt_size(4);
  std::vector<int> simd_layout(4);
  
  std::vector<int> mpi_layout(4);
  mpi_layout[0]=4;
  mpi_layout[1]=2;
  mpi_layout[2]=4;
  mpi_layout[3]=2;

#ifdef AVX512
 for(int omp=128;omp<236;omp+=16){
#else
 for(int omp=1;omp<8;omp*=20){
#endif

#ifdef OMP
   omp_set_num_threads(omp);
#endif 

  for(int lat=16;lat<=16;lat+=40){
    latt_size[0] = lat;
    latt_size[1] = lat;
    latt_size[2] = lat;
    latt_size[3] = lat;
    double volume = latt_size[0]*latt_size[1]*latt_size[2]*latt_size[3];
    
#ifdef AVX512
    simd_layout[0] = 1;
    simd_layout[1] = 2;
    simd_layout[2] = 2;
    simd_layout[3] = 2;
#endif
#if defined (AVX1)|| defined (AVX2)
    simd_layout[0] = 1;
    simd_layout[1] = 1;
    simd_layout[2] = 2;
    simd_layout[3] = 2;
#endif
#if defined (SSE2)
    simd_layout[0] = 1;
    simd_layout[1] = 1;
    simd_layout[2] = 1;
    simd_layout[3] = 2;
#endif
    
    GridCartesian Fine(latt_size,simd_layout,mpi_layout);
    GridRedBlackCartesian rbFine(latt_size,simd_layout,mpi_layout);
    
    LatticeColourMatrix Foo(&Fine);
    LatticeColourMatrix Bar(&Fine);

    LatticeSpinColourMatrix scFoo(&Fine);
    LatticeSpinColourMatrix scBar(&Fine);

    LatticeColourMatrix Shifted(&Fine);
    LatticeColourMatrix ShiftedCheck(&Fine);
    LatticeColourMatrix rShifted(&rbFine);
    LatticeColourMatrix bShifted(&rbFine);
   
    LatticeColourMatrix rFoo(&rbFine);
    LatticeColourMatrix bFoo(&rbFine);
    
    LatticeColourMatrix FooBar(&Fine);
    LatticeSpinColourMatrix scFooBar(&Fine);
    
    LatticeColourVector     cVec(&Fine);
    LatticeSpinVector       sVec(&Fine);
    LatticeSpinColourVector scVec(&Fine);

    LatticeColourMatrix     cMat(&Fine);
    LatticeSpinMatrix       sMat(&Fine);
    LatticeSpinColourMatrix scMat(&Fine);
    
    LatticeComplex scalar(&Fine);

    SpinMatrix GammaFive;
    iSpinMatrix<vComplex> iGammaFive;
    ColourMatrix cmat;
    
    random(Foo);
    gaussian(Bar);
    random(scFoo);
    random(scBar);

    random(cMat);
    random(sMat);
    random(scMat);
    random(cVec);
    random(sVec);
    random(scVec);

    fflush(stdout);
    cVec = cMat * cVec;  // LatticeColourVector     = LatticeColourMatrix     * LatticeColourVector
    sVec = sMat * sVec;  // LatticeSpinVector       = LatticeSpinMatrix       * LatticeSpinVector
    scVec= scMat * scVec;// LatticeSpinColourVector = LatticeSpinColourMatrix * LatticeSpinColourVector
    scVec= cMat * scVec; // LatticeSpinColourVector = LatticeColourMatrix     * LatticeSpinColourVector
    scVec= sMat * scVec; // LatticeSpinColourVector = LatticeSpinMatrix       * LatticeSpinColourVector
    
    cMat = outerProduct(cVec,cVec);
    scalar = localInnerProduct(cVec,cVec);
    
    scMat = sMat*scMat;  // LatticeSpinColourMatrix = LatticeSpinMatrix       * LatticeSpinColourMatrix

    // Non-lattice (const objects) * Lattice
    ColourMatrix cm;
    SpinColourMatrix scm;
    
    scMat = cMat*scMat;
    scm = cm * scm;         // SpinColourMatrix  = ColourMatrix     * SpinColourMatrix
    scm = scm *cm;          // SpinColourMatrix  = SpinColourMartix * ColourMatrix
    scm = GammaFive * scm ; // SpinColourMatrix  = SpinMatrix       * SpinColourMatrix
    scm = scm* GammaFive  ; // SpinColourMatrix  = SpinColourMatrix * SpinMatrix
    
    sMat = adj(sMat);       // LatticeSpinMatrix adjoint
    sMat = iGammaFive*sMat; // SpinMatrix * LatticeSpinMatrix
    sMat = GammaFive*sMat;  // SpinMatrix * LatticeSpinMatrix
    scMat= adj(scMat);
    cMat= adj(cMat);
    cm=adj(cm);
    scm=adj(scm);
    
//    Foo = Foo+scalar; // LatticeColourMatrix+Scalar
//    Foo = Foo*scalar; // LatticeColourMatrix*Scalar
//    Foo = Foo-scalar; // LatticeColourMatrix-Scalar
//    Foo = scalar*Foo; // Scalar*LatticeColourMatrix
//    Foo = scalar+Foo; // Scalar+LatticeColourMatrix
//    Foo = scalar-Foo; // Scalar-LatticeColourMatrix
    
    LatticeComplex trscMat(&Fine);
    trscMat = trace(scMat); // Trace
    
    FooBar = Bar;
 
    /*
    { 
      std::vector<int> coor(4);
      for(int d=0;d<4;d++) coor[d] = 0;
      peekSite(cmat,Foo,coor);
      Foo = zero;
      pokeSite(cmat,Foo,coor);
    }
    random(Foo);
    */
    lex_sites(Foo);


    //setCheckerboard(ShiftedCheck,rFoo); 
    //setCheckerboard(ShiftedCheck,bFoo); 


    // Lattice SU(3) x SU(3)
    FooBar = Foo * Bar;
    
    // Lattice 12x12 GEMM
    scFooBar = scFoo * scBar;
    
    // Benchmark some simple operations LatticeSU3 * Lattice SU3.
    double t0,t1,flops;
    double bytes;
    int ncall=100;
    int Nc = Grid::QCD::Nc;

    flops = ncall*1.0*volume*(8*Nc*Nc*Nc);
    bytes = ncall*1.0*volume*Nc*Nc    *2*3*sizeof(Grid::Real);
    printf("%f flop and %f bytes\n",flops,bytes/ncall);
        FooBar = Foo * Bar;
    t0=usecond();
    for(int i=0;i<ncall;i++){
        mult(FooBar,Foo,Bar); // this is better
    }
    t1=usecond();
#ifdef OMP
    printf("mult NumThread %d , Lattice size %d , %f us per call\n",omp_get_max_threads(),lat,(t1-t0)/ncall);
#endif
    printf("mult NumThread %d , Lattice size %d , %f Mflop/s\n",omp,lat,flops/(t1-t0));
    printf("mult NumThread %d , Lattice size %d , %f MB/s\n",omp,lat,bytes/(t1-t0));

    mult(FooBar,Foo,Bar);
    FooBar = Foo * Bar;

    bytes = ncall*1.0*volume*Nc*Nc    *2*5*sizeof(Grid::Real);
    t0=usecond();
    for(int i=0;i<ncall;i++){
      mult(FooBar,Foo,Cshift(Bar,1,-2));
      //mult(FooBar,Foo,Bar);
      //FooBar = Foo * Bar; // this is bad
    }
    t1=usecond();

    FooBar = Foo * Bar;
    
    printf("Cshift Mult: NumThread %d , Lattice size %d , %f us per call\n",omp,lat,(t1-t0)/ncall);
    printf("Cshift Mult: NumThread %d , Lattice size %d , %f Mflop/s\n",omp,lat,flops/(t1-t0));
    printf("Cshift Mult: NumThread %d , Lattice size %d , %f MB/s\n",omp,lat,bytes/(t1-t0));

    //    pickCheckerboard(0,rFoo,FooBar);
    //    pickCheckerboard(1,bFoo,FooBar);
    //    setCheckerboard(FooBar,rFoo);
    //    setCheckerboard(FooBar,bFoo);
    
    double nrm=0;

    for(int dir=0;dir<4;dir++){
      for(int shift=0;shift<latt_size[dir];shift++){



	pickCheckerboard(0,rFoo,Foo);    // Pick out red or black checkerboards
	pickCheckerboard(1,bFoo,Foo);
    
	std::cout << "Shifting both parities by "<< shift <<" direction "<< dir <<std::endl;
	Shifted  = Cshift(Foo,dir,shift);    // Shift everything

	std::cout << "Shifting even source parities to odd result"<<std::endl;
	bShifted = Cshift(rFoo,dir,shift);   // Shift red->black
	std::cout << "Shifting odd parities to even result"<<std::endl;
	rShifted = Cshift(bFoo,dir,shift);   // Shift black->red
    
	ShiftedCheck=zero;
	setCheckerboard(ShiftedCheck,bShifted); // Put them all together
	setCheckerboard(ShiftedCheck,rShifted); // and check the results (later)
    
	// Check results
	std::vector<int> coor(4);
	for(coor[3]=0;coor[3]<latt_size[3]/mpi_layout[3];coor[3]++){
	for(coor[2]=0;coor[2]<latt_size[2]/mpi_layout[2];coor[2]++){
	for(coor[1]=0;coor[1]<latt_size[1]/mpi_layout[1];coor[1]++){
	for(coor[0]=0;coor[0]<latt_size[0]/mpi_layout[0];coor[0]++){
 
        std::complex<Grid::Real> diff;
                    
        std::vector<int> shiftcoor = coor;
        shiftcoor[dir]=(shiftcoor[dir]+shift+latt_size[dir])%(latt_size[dir]/mpi_layout[dir]);

	std::vector<int> rl(4);
	for(int dd=0;dd<4;dd++){
	  rl[dd] = latt_size[dd]/simd_layout[dd]/mpi_layout[dd];
	}
	int lex =  coor[0]%rl[0]
	  + (coor[1]%rl[1])*rl[0]
	  + (coor[2]%rl[2])*rl[0]*rl[1]
	  + (coor[3]%rl[3])*rl[0]*rl[1]*rl[2];
	lex += 
	  +1000*(coor[0]/rl[0])
	  +1000*(coor[1]/rl[1])*simd_layout[0]
	  +1000*(coor[2]/rl[2])*simd_layout[0]*simd_layout[1]
	  +1000*(coor[3]/rl[3])*simd_layout[0]*simd_layout[1]*simd_layout[2];

	int lex_coor = shiftcoor[0]%rl[0]
	  + (shiftcoor[1]%rl[1])*rl[0]
	  + (shiftcoor[2]%rl[2])*rl[0]*rl[1]
	  + (shiftcoor[3]%rl[3])*rl[0]*rl[1]*rl[2];
	lex_coor += 
	  +1000*(shiftcoor[0]/rl[0])
	  +1000*(shiftcoor[1]/rl[1])*simd_layout[0]
	  +1000*(shiftcoor[2]/rl[2])*simd_layout[0]*simd_layout[1]
	  +1000*(shiftcoor[3]/rl[3])*simd_layout[0]*simd_layout[1]*simd_layout[2];

        ColourMatrix foo;
        ColourMatrix bar;
        ColourMatrix shifted1;
        ColourMatrix shifted2;
        ColourMatrix shifted3;
        ColourMatrix foobar1;
        ColourMatrix foobar2;
        ColourMatrix mdiff,amdiff;
                    
        peekSite(shifted1,Shifted,coor);
        peekSite(shifted2,Foo,shiftcoor);
        peekSite(shifted3,ShiftedCheck,coor);
        peekSite(foo,Foo,coor);
        
        mdiff = shifted1-shifted2;
        amdiff=adj(mdiff);
        ColourMatrix prod = amdiff*mdiff;
        TReal Ttr=real(trace(prod));
        double nn=Ttr._internal._internal;
        if ( nn > 0 )
            cout<<"Shift real trace fail "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<endl;
        
        for(int r=0;r<3;r++){
        for(int c=0;c<3;c++){
            diff =shifted1._internal._internal[r][c]-shifted2._internal._internal[r][c];
            nn=real(conj(diff)*diff);
            if ( nn > 0 )
                cout<<"Shift fail (shifted1/shifted2-ref) "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
                    <<shifted1._internal._internal[r][c]<<" "<<shifted2._internal._internal[r][c]
                    << " "<< foo._internal._internal[r][c]<< " lex expect " << lex_coor << " lex "<<lex<<endl;
            else if(0)
                cout<<"Shift pass 1vs2 "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
                    <<shifted1._internal._internal[r][c]<<" "<<shifted2._internal._internal[r][c]
                    << " "<< foo._internal._internal[r][c]<< " lex expect " << lex_coor << " lex "<<lex<<endl;
        }}
        
        for(int r=0;r<3;r++){
        for(int c=0;c<3;c++){
            diff =shifted3._internal._internal[r][c]-shifted2._internal._internal[r][c];
            nn=real(conj(diff)*diff);
            if ( nn > 0 )
                cout<<"Shift rb fail (shifted3/shifted2-ref) "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
                <<shifted3._internal._internal[r][c]<<" "<<shifted2._internal._internal[r][c]
                << " "<< foo._internal._internal[r][c]<< " lex expect " << lex_coor << " lex "<<lex<<endl;
            else if(0)
                cout<<"Shift rb pass 3vs2 "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
                <<shifted3._internal._internal[r][c]<<" "<<shifted2._internal._internal[r][c]
                << " "<< foo._internal._internal[r][c]<< " lex expect " << lex_coor << " lex "<<lex<<endl;
        }}
        peekSite(bar,Bar,coor);
                    
        peekSite(foobar1,FooBar,coor);
        foobar2 = foo*bar;
        for(int r=0;r<Nc;r++){
        for(int c=0;c<Nc;c++){
            diff =foobar2._internal._internal[r][c]-foobar1._internal._internal[r][c];
            nrm = nrm + real(conj(diff)*diff);
        }}
    }}}}
      }}
    std::cout << "LatticeColorMatrix * LatticeColorMatrix nrm diff = "<<nrm<<std::endl;

   } // loop for lat
 } // loop for omp

 MPI_Finalize();

}