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Grid/tests/core/Test_main.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_main.cc
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: neo <cossu@post.kek.jp>
Author: paboyle <paboyle@ph.ed.ac.uk>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/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 = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(4, vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
latt_size.resize(4);
#ifdef AVX512
for (int omp = 128; omp < 236; omp += 16) {
#else
for (int omp = 1; omp < 2; omp *= 20) {
#endif
#ifdef OMP
omp_set_num_threads(omp);
#endif
for (int lat = 8; lat <= 16; lat += 40) {
std::cout << "Lat " << lat << std::endl;
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];
GridCartesian Fine(latt_size, simd_layout, mpi_layout);
GridRedBlackCartesian rbFine(latt_size, simd_layout, mpi_layout);
GridParallelRNG FineRNG(&Fine);
GridSerialRNG SerialRNG;
GridSerialRNG SerialRNG1;
FineRNG.SeedRandomDevice();
SerialRNG.SeedRandomDevice();
std::cout << "SerialRNG" << SerialRNG._generators[0] << std::endl;
std::vector<typename GridSerialRNG::RngStateType> saved;
SerialRNG.GetState(saved, 0);
SerialRNG1.SetState(saved, 0);
RealD dd1, dd2;
std::cout << "Testing RNG state save restore" << std::endl;
for (int i = 0; i < 10; i++) {
random(SerialRNG, dd1);
random(SerialRNG1, dd2);
std::cout << "i " << i << " " << dd1 << " " << dd2 << std::endl;
}
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);
LatticeLorentzColourMatrix lcMat(&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, lcMat);
random(FineRNG, cVec);
random(FineRNG, sVec);
random(FineRNG, scVec);
fflush(stdout);
LatticeColourMatrix newFoo = Foo;
// confirm correctness of copy constructor
Bar = Foo - newFoo;
std::cout << "Copy constructor diff check: ";
double test_cc = norm2(Bar);
if (test_cc < 1e-5){
std::cout << "OK\n";
}
else{
std::cout << "fail\n";
abort();
}
TComplex tr = trace(cmat);
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);
cMat = Ta(cMat); // traceless antihermitian
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<ColourIndex>(cVec, scalar, 1);
scalar = transpose(scalar);
scalar = TransposeIndex<ColourIndex>(scalar);
scalar = TraceIndex<SpinIndex>(scalar);
scalar = PeekIndex<ColourIndex>(cVec, 0);
scalar = trace(scalar);
scalar = localInnerProduct(cVec, cVec);
scalar = localNorm2(cVec);
// -=,+=,*=,()
// add,+,sub,-,mult,mac,*
// adj,conjugate
// 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);
random(SerialRNG, cm);
std::cout << GridLogMessage << cm << std::endl;
cm = Ta(cm);
TComplex tracecm = trace(cm);
std::cout << GridLogMessage << cm << std::endl;
cm = Exponentiate(cm, 2.0, 12);
std::cout << GridLogMessage << cm << " " << std::endl;
Complex det = Determinant(cm);
std::cout << GridLogMessage << "determinant: " << det << std::endl;
std::cout << GridLogMessage << "norm: " << norm2(cm) << std::endl;
cm = ProjectOnGroup(cm);
std::cout << GridLogMessage << cm << " " << std::endl;
std::cout << GridLogMessage << "norm: " << norm2(cm) << std::endl;
cm = ProjectOnGroup(cm);
std::cout << GridLogMessage << cm << " " << std::endl;
std::cout << GridLogMessage << "norm: " << norm2(cm) << std::endl;
// det = Determinant(cm);
// std::cout<<GridLogMessage << "determinant: " << det << std::endl;
// 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
// Exponentiate test
std::vector<int> mysite{0, 0, 0, 0};
random(FineRNG, cMat);
cMat = Ta(cMat);
peekSite(cm, cMat, mysite);
std::cout << GridLogMessage << cm << " " << std::endl;
cm = Exponentiate(cm, 1.0, 12);
std::cout << GridLogMessage << cm << " " << std::endl;
std::cout << GridLogMessage << "norm: " << norm2(cm) << std::endl;
std::cout << GridLogMessage << "norm cMmat : " << norm2(cMat)
<< std::endl;
cMat = expMat(cMat, ComplexD(1.0, 0.0));
std::cout << GridLogMessage << "norm expMat: " << norm2(cMat)
<< std::endl;
peekSite(cm, cMat, mysite);
std::cout << GridLogMessage << cm << " " << std::endl;
std::cout << GridLogMessage << "determinant: " << Determinant(cm)
<< std::endl;
std::cout << GridLogMessage << "norm: " << norm2(cm) << std::endl;
// LatticeComplex trlcMat(&Fine);
// trlcMat = trace(lcMat); // Trace involving iVector - now generates
// error
{ // Peek-ology and Poke-ology, with a little app-ology
Complex c;
ColourMatrix c_m;
SpinMatrix s_m;
SpinColourMatrix sc_m;
s_m = TensorIndexRecursion<ColourIndex>::traceIndex(
sc_m); // Map to traceColour
c_m = TensorIndexRecursion<SpinIndex>::traceIndex(
sc_m); // map to traceSpin
c = TensorIndexRecursion<SpinIndex>::traceIndex(s_m);
c = TensorIndexRecursion<ColourIndex>::traceIndex(c_m);
s_m = TensorIndexRecursion<ColourIndex>::peekIndex(scm, 0, 0);
c_m = TensorIndexRecursion<SpinIndex>::peekIndex(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<ColourIndex> (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<Integer(10),Foo,Bar);
cout << "peeking sites..\n";
{
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 = 5000;
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 us per call\n", omp,
lat, (t1 - t0) / ncall);
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 << GridLogMessage << "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;
Complex trprod = trace(prod);
Real Ttr = real(trprod);
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(conjugate(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(conjugate(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(conjugate(diff) * diff);
}
}
}
}
}
}
if (Fine.IsBoss()) {
std::cout << GridLogMessage
<< "LatticeColorMatrix * LatticeColorMatrix nrm diff = "
<< nrm << std::endl;
}
}
}
} // loop for lat
} // loop for omp
/*
// Testing Smearing routine compilation, separate in a different file
GridCartesian Fine(latt_size,simd_layout,mpi_layout);
Smear_APE< PeriodicGimplR > APEsmearing; // periodic gauge implemetation
Smear_Stout< PeriodicGimplR > StoutSmearing(&APEsmearing);
SmearedConfiguration< PeriodicGimplR > SmartConf(&Fine, 3, StoutSmearing);
std::cout<<GridLogMessage << sizeof(vComplexF) << std::endl;
*/
Grid_finalize();
}
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