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Grid/tests/Grid_main.cc

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C++
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#include "Grid.h"
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
/*
Grid_main.cc(232): error: no suitable user-defined conversion from "Grid::iScalar<Grid::iMatrix<Grid::iScalar<Grid::Complex>, 4>>" to "const Grid::iScalar<Grid::iScalar<Grid::iMatrix<Grid::Complex, 3>>>" exists
c_m = peekIdiot<SpinColourMatrix>(scm,1,2);
*/
template<class vobj> auto peekIdiot(const vobj &rhs,int i,int j) -> decltype(peekIndex<2>(rhs,0,0))
{
return peekIndex<2>(rhs,i,j);
}
template<class vobj> auto peekDumKopf(const vobj &rhs,int i,int j) -> decltype(peekIndex<3>(rhs,0,0))
{
return peekIndex<3>(rhs,i,j);
}
template<class vobj> auto peekDumKopf(const vobj &rhs,int i) -> decltype(peekIndex<3>(rhs,0))
{
return peekIndex<3>(rhs,i);
}
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]=1;
mpi_layout[1]=1;
mpi_layout[2]=1;
mpi_layout[3]=1;
#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=8;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 (SSE4)
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);
GridParallelRNG FineRNG(&Fine);
FineRNG.SeedRandomDevice();
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);
LatticeReal rscalar(&Fine);
LatticeReal iscalar(&Fine);
SpinMatrix GammaFive;
iSpinMatrix<vComplex> iGammaFive;
ColourMatrix cmat;
random(FineRNG,Foo);
gaussian(FineRNG,Bar);
random(FineRNG,scFoo);
random(FineRNG,scBar);
random(FineRNG,cMat);
random(FineRNG,sMat);
random(FineRNG,scMat);
random(FineRNG,cVec);
random(FineRNG,sVec);
random(FineRNG,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);
scalar += scalar;
scalar -= scalar;
scalar *= scalar;
add(scalar,scalar,scalar);
sub(scalar,scalar,scalar);
mult(scalar,scalar,scalar);
mac(scalar,scalar,scalar);
scalar = scalar+scalar;
scalar = scalar-scalar;
scalar = scalar*scalar;
scalar=outerProduct(scalar,scalar);
scalar=adj(scalar);
// rscalar=real(scalar);
// iscalar=imag(scalar);
// scalar =cmplx(rscalar,iscalar);
pokeIndex<1>(cVec,scalar,1);
scalar=transpose(scalar);
scalar=transposeIndex<1>(scalar);
scalar=traceIndex<1>(scalar);
scalar=peekIndex<1>(cVec,0);
scalar=trace(scalar);
scalar=localInnerProduct(cVec,cVec);
scalar=localNorm2(cVec);
// -=,+=,*=,()
// add,+,sub,-,mult,mac,*
// adj,conj
// real,imag
// transpose,transposeIndex
// trace,traceIndex
// peekIndex
// innerProduct,outerProduct,
// localNorm2
// localInnerProduct
scMat = sMat*scMat; // LatticeSpinColourMatrix = LatticeSpinMatrix * LatticeSpinColourMatrix
// Non-lattice (const objects) * Lattice
ColourMatrix cm;
SpinColourMatrix scm;
vSpinColourMatrix vscm;
Complex cplx(1.0);
Integer myint=1;
double mydouble=1.0;
// vSpinColourMatrix vscm;
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
scm = scm*cplx;
vscm = vscm*cplx;
scMat = scMat*cplx;
scm = cplx*scm;
vscm = cplx*vscm;
scMat = cplx*scMat;
scm = myint*scm;
vscm = myint*vscm;
scMat = scMat*myint;
scm = scm*mydouble;
vscm = vscm*mydouble;
scMat = scMat*mydouble;
scMat = mydouble*scMat;
cMat = mydouble*cMat;
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);
scm=transpose(scm);
scm=transposeIndex<1>(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
{ // Peek-ology and Poke-ology, with a little app-ology
TComplex c;
ColourMatrix c_m;
SpinMatrix s_m;
SpinColourMatrix sc_m;
s_m = traceIndex<1>(sc_m); // Map to traceColour
c_m = traceIndex<2>(sc_m); // map to traceSpin
c = traceIndex<2>(s_m);
c = traceIndex<1>(c_m);
s_m = peekIndex<1>(scm,0,0);
c_m = peekIndex<2>(scm,1,2);
// c_m = peekSpin<SpinColourMatrix>(scm,1,2);
c_m = peekIdiot<SpinColourMatrix>(scm,1,2);
printf("c. Level %d\n",c_m.TensorLevel);
printf("c. Level %d\n",c_m().TensorLevel);
printf("c. Level %d\n",c_m()().TensorLevel);
c_m()() = scm()(0,0); //ColourComponents of CM <= ColourComponents of SpinColourMatrix
scm()(1,1) = cm()(); //ColourComponents of CM <= ColourComponents of SpinColourMatrix
c = scm()(1,1)(1,2);
scm()(1,1)(2,1) = c;
pokeIndex<1> (c_m,c,0,0);
}
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);
Integer mm[4];
mm[0]=1;
mm[1]=Fine._rdimensions[0];
mm[2]=Fine._ldimensions[0]*Fine._ldimensions[1];
mm[3]=Fine._ldimensions[0]*Fine._ldimensions[1]*Fine._ldimensions[2];
LatticeInteger lex(&Fine);
lex=zero;
for(int d=0;d<4;d++){
LatticeInteger coor(&Fine);
LatticeCoordinate(coor,d);
lex = lex + coor*mm[d];
}
Bar = zero;
Bar = where(lex<10,Foo,Bar);
{
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]++){
ColourMatrix bar;
peekSite(bar,Bar,coor);
for(int r=0;r<3;r++){
for(int c=0;c<3;c++){
// cout<<"bar "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "<<bar()()(r,c)<<std::endl;
}}
}}}}
}
//setCheckerboard(ShiftedCheck,rFoo);
//setCheckerboard(ShiftedCheck,bFoo);
// Lattice SU(3) x SU(3)
Fine.Barrier();
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;
LatticeGaugeField U(&Fine);
// LatticeColourMatrix Uy = peekLorentz(U,1);
LatticeColourMatrix Uy = peekDumKopf(U,1);
flops = ncall*1.0*volume*(8*Nc*Nc*Nc);
bytes = ncall*1.0*volume*Nc*Nc *2*3*sizeof(Grid::Real);
if ( Fine.IsBoss() ) {
printf("%f flop and %f bytes\n",flops,bytes/ncall);
}
FooBar = Foo * Bar;
Fine.Barrier();
t0=usecond();
for(int i=0;i<ncall;i++){
Fine.Barrier();
mult(FooBar,Foo,Bar); // this is better
}
t1=usecond();
Fine.Barrier();
if ( Fine.IsBoss() ) {
#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);
Fine.Barrier();
t0=usecond();
for(int i=0;i<ncall;i++){
Fine.Barrier();
mult(FooBar,Foo,Cshift(Bar,1,-1));
//mult(FooBar,Foo,Bar);
//FooBar = Foo * Bar; // this is bad
}
t1=usecond();
Fine.Barrier();
FooBar = Foo * Bar;
if ( Fine.IsBoss() ) {
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;
LatticeColourMatrix deriv(&Fine);
double half=0.5;
deriv = 0.5*Cshift(Foo,0,1) - 0.5*Cshift(Foo,0,-1);
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);
if ( Fine.IsBoss() ) {
std::cout << "Shifting both parities by "<< shift <<" direction "<< dir <<std::endl;
}
Shifted = Cshift(Foo,dir,shift); // Shift everything
bShifted = Cshift(rFoo,dir,shift); // Shift red->black
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;
Real Ttr=real(trace(prod));
double nn=Ttr;
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()()(r,c)-shifted2()()(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()()(r,c)<<" "<<shifted2()()(r,c)
<< " "<< foo()()(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()()(r,c)<<" "<<shifted2()()(r,c)
<< " "<< foo()()(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()()(r,c)-shifted2()()(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()()(r,c)<<" "<<shifted2()()(r,c)
<< " "<< foo()()(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()()(r,c)<<" "<<shifted2()()(r,c)
<< " "<< foo()()(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()()(r,c)-foobar1()()(r,c);
nrm = nrm + real(conj(diff)*diff);
}}
}}}}
if( Fine.IsBoss() ){
std::cout << "LatticeColorMatrix * LatticeColorMatrix nrm diff = "<<nrm<<std::endl;
}
}}
} // loop for lat
} // loop for omp
Grid_finalize();
}
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