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Grid/tests/qdpxx/Test_qdpxx_baryon.cc
Peter Boyle d201277652 Expose Nc as a compile time configure option. 
Remove precision option
2020-10-07 13:07:00 -04:00

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/qdpxx/Test_qdpxx_wilson.cc
Copyright (C) 2017
Author: Felix Erben <felix.erben@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 <chroma.h>
#include <Grid/Grid.h>
#include <Grid/qcd/utils/BaryonUtils.h>
typedef Grid::LatticeGaugeField GaugeField;
namespace Chroma
{
class ChromaWrapper
{
public:
typedef multi1d<LatticeColorMatrix> U;
typedef LatticeFermion T4;
static void ImportGauge(GaugeField &gr,
QDP::multi1d<QDP::LatticeColorMatrix> &ch)
{
Grid::LorentzColourMatrix LCM;
Grid::Complex cc;
QDP::ColorMatrix cm;
QDP::Complex c;
std::vector<int> x(4);
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
Grid::peekSite(LCM, gr, x);
for (int mu = 0; mu < 4; mu++)
{
for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
cc = LCM(mu)()(i, j);
c = QDP::cmplx(QDP::Real(real(cc)), QDP::Real(imag(cc)));
QDP::pokeColor(cm, c, i, j);
}
}
QDP::pokeSite(ch[mu], cm, cx);
}
}
}
}
}
}
static void ExportGauge(GaugeField &gr,
QDP::multi1d<QDP::LatticeColorMatrix> &ch)
{
Grid::LorentzColourMatrix LCM;
Grid::Complex cc;
QDP::ColorMatrix cm;
QDP::Complex c;
std::vector<int> x(4);
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
for (int mu = 0; mu < 4; mu++)
{
for (int i = 0; i < 3; i++)
{
for (int j = 0; j < 3; j++)
{
cm = QDP::peekSite(ch[mu], cx);
c = QDP::peekColor(cm, i, j);
cc = Grid::Complex(toDouble(real(c)), toDouble(imag(c)));
LCM(mu)
()(i, j) = cc;
}
}
}
Grid::pokeSite(LCM, gr, x);
}
}
}
}
}
// Specific for Wilson Fermions
static void ImportPropagator(Grid::LatticePropagator &gr,
QDP::LatticePropagator &ch)
{
Grid::LatticeSpinColourVector LF(gr.Grid());
QDP::LatticeFermion cLF;
int Nspin=4;
int Ncolour=3;
for (int is = 0; is < Nspin; is++){
for (int ic = 0; ic < Ncolour; ic++){
Grid::PropToFerm<Grid::WilsonImplR>(LF,gr,is,ic);
ImportFermion(LF,cLF);
Chroma::FermToProp(cLF,ch,ic,is);
}
}
}
static void ExportPropagator(Grid::LatticePropagator &gr,
QDP::LatticePropagator &ch)
{
Grid::LatticeSpinColourVector LF(gr.Grid());
QDP::LatticeFermion cLF;
int Nspin=4;
int Ncolour=3;
for (int is = 0; is < Nspin; is++){
for (int ic = 0; ic < Ncolour; ic++){
Chroma::PropToFerm(ch,cLF,ic,is);
ExportFermion(LF,cLF);
Grid::FermToProp<Grid::WilsonImplR>(gr,LF,is,ic);
}
}
}
// Specific for Wilson Fermions
static void ImportFermion(Grid::LatticeFermion &gr,
QDP::LatticeFermion &ch)
{
Grid::SpinColourVector F;
Grid::Complex c;
QDP::Fermion cF;
QDP::SpinVector cS;
QDP::Complex cc;
std::vector<int> x(4); // explicit 4d fermions in Grid
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
Grid::peekSite(F, gr, x);
for (int j = 0; j < 3; j++)
{
for (int sp = 0; sp < 4; sp++)
{
c = F()(sp)(j);
cc = QDP::cmplx(QDP::Real(real(c)), QDP::Real(imag(c)));
QDP::pokeSpin(cS, cc, sp);
}
QDP::pokeColor(cF, cS, j);
}
QDP::pokeSite(ch, cF, cx);
}
}
}
}
}
// Specific for 4d Wilson fermions
static void ExportFermion(Grid::LatticeFermion &gr,
QDP::LatticeFermion &ch)
{
Grid::SpinColourVector F;
Grid::Complex c;
QDP::Fermion cF;
QDP::SpinVector cS;
QDP::Complex cc;
std::vector<int> x(4); // 4d fermions
QDP::multi1d<int> cx(4);
Grid::Coordinate gd = gr.Grid()->GlobalDimensions();
for (x[0] = 0; x[0] < gd[0]; x[0]++)
{
for (x[1] = 0; x[1] < gd[1]; x[1]++)
{
for (x[2] = 0; x[2] < gd[2]; x[2]++)
{
for (x[3] = 0; x[3] < gd[3]; x[3]++)
{
cx[0] = x[0];
cx[1] = x[1];
cx[2] = x[2];
cx[3] = x[3];
cF = QDP::peekSite(ch, cx);
for (int sp = 0; sp < 4; sp++)
{
for (int j = 0; j < 3; j++)
{
cS = QDP::peekColor(cF, j);
cc = QDP::peekSpin(cS, sp);
c = Grid::Complex(QDP::toDouble(QDP::real(cc)),
QDP::toDouble(QDP::imag(cc)));
F()
(sp)(j) = c;
}
}
Grid::pokeSite(F, gr, x);
}
}
}
}
}
};
} // namespace Chroma
void make_gauge(GaugeField &Umu, Grid::LatticePropagator &q1,Grid::LatticePropagator &q2,Grid::LatticePropagator &q3)
{
using namespace Grid;
using namespace Grid::QCD;
std::vector<int> seeds4({1, 2, 3, 4});
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)Umu.Grid();
Grid::GridParallelRNG RNG4(UGrid);
RNG4.SeedFixedIntegers(seeds4);
Grid::SU<Nc>::HotConfiguration(RNG4, Umu);
// Propagator
Grid::gaussian(RNG4, q1);
Grid::gaussian(RNG4, q2);
Grid::gaussian(RNG4, q3);
}
void calc_chroma(GaugeField &lat, Grid::LatticePropagator &qU,Grid::LatticePropagator &qD,Grid::LatticePropagator &qS, std::vector<QDP::Complex> &res, std::string baryon)
{
QDP::multi1d<QDP::LatticeColorMatrix> u(4);
Chroma::ChromaWrapper::ImportGauge(lat, u);
QDP::LatticePropagator check;
QDP::LatticePropagator result;
QDP::LatticePropagator psiU;
QDP::LatticePropagator psiD;
QDP::LatticePropagator psiS;
Chroma::ChromaWrapper::ImportPropagator(qU, psiU);
Chroma::ChromaWrapper::ImportPropagator(qD, psiD);
Chroma::ChromaWrapper::ImportPropagator(qS, psiS);
if(0){
std::cout << "Testing ImportPropagator(): " << std::endl;
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)lat.Grid();
std::vector<Grid::TComplex> buf;
Grid::LatticeComplex tmp(UGrid);
tmp = Grid::trace(qU);
Grid::sliceSum(tmp,buf,Grid::Nd-1);
for (unsigned int t = 0; t < buf.size(); ++t)
{
std::cout << "Grid qU " << t << " " << Grid::TensorRemove(buf[t]) << std::endl;
}
QDP::LatticeComplex ctmp;
ctmp = QDP::trace(psiU);
Chroma::SftMom phases0(0,true,3); //How do I circumvent this? sliceSum equivalent?
QDP::multi2d<DComplex> hsum0;
hsum0 = phases0.sft(ctmp);
for(int t = 0; t < phases0.numSubsets(); ++t){
std::cout << "Chroma qU " << t << " " << hsum0[0][t] << std::endl;
}
}
SpinMatrix C;
SpinMatrix C_5;
SpinMatrix C_4_5;
SpinMatrix CG_1;
SpinMatrix CG_2;
SpinMatrix CG_3;
SpinMatrix CG_4;
SpinMatrix g_one = 1.0;
//C = \gamma_2\gamma_4
C = (Gamma(10)*g_one);
//C_5 = C*gamma_5
C_5 = (Gamma(5)*g_one);
//C_4_5 = C*gamma_4*gamma_5
C_4_5 = (Gamma(13)*g_one);
//CG_1 = C*gamma_1
CG_1 = (Gamma(11)*g_one);
//CG_2 = C*gamma_2
CG_2 = (Gamma(8)*g_one);
//CG_3 = C*gamma_3
CG_3 = (Gamma(14)*g_one);
//CG_4 = C*gamma_4
CG_4 = (Gamma(2)*g_one);
// S_proj_unpol = (1/2)(1 + gamma_4)
SpinMatrix S_proj_unpol = 0.5 * (g_one + (g_one * Gamma(8)));
QDP::LatticeComplex b_prop;
QDP::LatticePropagator di_quark;
if(! baryon.compare("OmegaX")){
// Omega_x - this esentially is degenerate (s C\gamma_1 s)s
// C gamma_1 = Gamma(10) * Gamma(1) = Gamma(11)
di_quark = QDP::quarkContract13(psiS * CG_1, CG_1 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("OmegaY")){
// Omega_x - this esentially is degenerate (s C\gamma_3 s)s
// C gamma_1 = Gamma(10) * Gamma(2) = Gamma(8)
di_quark = QDP::quarkContract13(psiS * CG_2, CG_2 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("OmegaZ")){
// Omega_x - this esentially is degenerate (s C\gamma_3 s)s
// C gamma_1 = Gamma(10) * Gamma(4) = Gamma(14)
di_quark = QDP::quarkContract13(psiS * CG_3, CG_3 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)))
+ 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else if (! baryon.compare("Proton")){
// Proton - this esentially is degenerate (d C\gamma_5 u)u
// This is how the UKHadron code is written - diquarks are swapped when compared to coment above code.
//di_quark = QDP::quarkContract13(psiU * C_5, C_5 * psiD);
di_quark = QDP::quarkContract13(psiD * C_5, C_5 * psiU);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
+ QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
} else if (! baryon.compare("Lambda")){
// Lambda (octet) - This is the totally antisymmetric
// one from the middle of the octet
// Lambda - (d C\gamma_5 s)u - (u C\gamma_5 s)d
// This is given by:
// 1/3[ <us>d + <ds>u + 4<ud>s - (usd) - (dsu) + 2(sud) + 2(sdu) + 2(uds) + 2(dus) ]
/* This is how the UKHadron code is written - diquarks are swapped when compared to coments above code.
// This gives <us>d - (usd) -- yes
di_quark = QDP::quarkContract13(psiU * C_5, C_5 * psiS);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiD * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives <ds>u - (dsu) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiS);
b_prop += QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 4<ud>s -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 4.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)));
//This gives 2(sud) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives 2(sdu) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 2(uds) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
// This gives 2(dus) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));*/
// This gives <us>d - (usd) -- yes
di_quark = QDP::quarkContract13(psiS * C_5, C_5 * psiU);
b_prop = QDP::trace(S_proj_unpol * QDP::traceColor(psiD * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives <ds>u - (dsu) -- yes
di_quark = quarkContract13(psiS * C_5,C_5 * psiD);
b_prop += QDP::trace(S_proj_unpol * QDP::traceColor(psiU * QDP::traceSpin(di_quark)))
- QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 4<ud>s -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 4.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * QDP::traceSpin(di_quark)));
//This gives 2(sud) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiS);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiD * di_quark));
// This gives 2(sdu) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiS);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiU * di_quark));
// This gives 2(uds) -- yes
di_quark = quarkContract13(psiD * C_5,C_5 * psiU);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
// This gives 2(dus) -- yes
di_quark = quarkContract13(psiU * C_5,C_5 * psiD);
b_prop += 2.0 * QDP::trace(S_proj_unpol * QDP::traceColor(psiS * di_quark));
} else {
std::cout << "baryon not part of test " << std::endl;
return;
}
std::cout<< "Chroma computing " << baryon << std::endl;
Chroma::SftMom phases(0,true,3); //How do I circumvent this? sliceSum equivalent?
QDP::multi2d<DComplex> hsum;
hsum = phases.sft(b_prop);
int length = phases.numSubsets();
res.resize(length);
for(int t = 0; t < length; ++t){
res[t] = hsum[0][t]; //Should I test momentum?
}
}
void calc_grid(Grid::LatticeGaugeField &Umu, Grid::LatticePropagator &qU, Grid::LatticePropagator &qD, Grid::LatticePropagator &qS, std::vector<Grid::Complex> &res, std::string baryon)
{
using namespace Grid;
using namespace Grid::QCD;
Grid::GridCartesian *UGrid = (Grid::GridCartesian *)Umu.Grid();
Grid::Gamma G_A = Grid::Gamma(Grid::Gamma::Algebra::Identity);
Grid::Gamma G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaZGamma5); // OmegaX: C*GammaX = i* GammaZ*Gamma5
Grid::LatticeComplex c(UGrid);
Grid::LatticeComplex c1(UGrid);
if(! baryon.compare("OmegaX")){
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("OmegaY")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaT);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("OmegaZ")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::GammaXGamma5);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qS,qS,G_A,G_B,G_A,G_B,"sss","sss",1,c);
c*=0.5;
std::cout << "Grid-Omega factor 2 larger than Chroma-Omega!!!" << std::endl;
} else if (! baryon.compare("Proton")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::SigmaXZ);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qU,G_A,G_B,G_A,G_B,"udu","udu",1,c);
std::cout << "UKHadron-Proton has flipped diquarks in original code." << std::endl;
} else if (! baryon.compare("Lambda")){
G_B = Grid::Gamma(Grid::Gamma::Algebra::SigmaXZ);
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","sud",1,c1); //<ud>s
c = 4.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","dus",1,c1); //<us>d
c += c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","uds",1,c1); //<ds>u
c += c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","sud",1,c1); //(sud)
c += 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","sud",1,c1); //(sdu)
c -= 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","dus",1,c1); //(dus)
c += 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qU,qD,qS,G_A,G_B,G_A,G_B,"uds","dus",1,c1); //-(dsu)
c -= c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qS,qU,qD,G_A,G_B,G_A,G_B,"sud","uds",1,c1); //(uds)
c -= 2.*c1;
BaryonUtils<Grid::WilsonImplR>::ContractBaryons(qD,qU,qS,G_A,G_B,G_A,G_B,"dus","uds",1,c1); //-(usd)
c -= c1;
std::cout << "UKHadron-Lambda has flipped diquarks in original code." << std::endl;
} else {
std::cout << "baryon not part of test " << std::endl;
return;
}
std::cout<< "Grid computing " << baryon << std::endl;
std::vector<Grid::TComplex> buf;
Grid::sliceSum(c,buf,Grid::Nd-1);
res.resize(buf.size());
for (unsigned int t = 0; t < buf.size(); ++t)
{
res[t]=Grid::TensorRemove(buf[t]);
}
}
int main(int argc, char **argv)
{
/********************************************************
* Setup QDP
*********************************************************/
Chroma::initialize(&argc, &argv);
Chroma::WilsonTypeFermActs4DEnv::registerAll();
/********************************************************
* Setup Grid
*********************************************************/
Grid::Grid_init(&argc, &argv);
Grid::GridCartesian *UGrid = Grid::SpaceTimeGrid::makeFourDimGrid(Grid::GridDefaultLatt(),
Grid::GridDefaultSimd(Grid::Nd, Grid::vComplex::Nsimd()),
Grid::GridDefaultMpi());
Grid::Coordinate gd = UGrid->GlobalDimensions();
QDP::multi1d<int> nrow(QDP::Nd);
for (int mu = 0; mu < 4; mu++)
nrow[mu] = gd[mu];
QDP::Layout::setLattSize(nrow);
QDP::Layout::create();
GaugeField Ug(UGrid);
typedef Grid::LatticePropagator PropagatorField;
PropagatorField up(UGrid);
PropagatorField down(UGrid);
PropagatorField strange(UGrid);
std::vector<ComplexD> res_chroma;
std::vector<Grid::Complex> res_grid;
Grid::Complex res_chroma_g;
std::vector<std::string> baryons({"OmegaX","OmegaY","OmegaZ","Proton","Lambda"});
int nBaryon=baryons.size();
for (int iB = 0; iB < nBaryon; iB++)
{
make_gauge(Ug, up, down, strange); // fills the gauge field and the propagator with random numbers
calc_chroma(Ug, up, down, strange, res_chroma,baryons[iB]);
for(int t=0;t<res_chroma.size();t++){
std::cout << " Chroma baryon "<<t<<" "<< res_chroma[t] << std::endl;
}
calc_grid(Ug, up, down, strange, res_grid,baryons[iB]);
for(int t=0;t<res_chroma.size();t++){
std::cout << " Grid baryon "<<t<<" "<< res_grid[t] << std::endl;
}
for(int t=0;t<res_chroma.size();t++){
res_chroma_g = Grid::Complex(toDouble(real(res_chroma[t])), toDouble(imag(res_chroma[t])));
std::cout << " Difference "<<t<<" "<< res_chroma_g - res_grid[t] << std::endl;
}
std::cout << "Finished test " << std::endl;
}
Chroma::finalize();
}
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