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Grid/tests/qdpxx/Test_qdpxx_loops_staples.cc

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/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/qdpxx/Test_qdpxx_loops_staples.cc
Copyright (C) 2015
Author: Azusa Yamaguchi <ayamaguc@staffmail.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>
double calc_grid_p (Grid::LatticeGaugeField & lat);
double calc_chroma_p (Grid::LatticeGaugeField & lat);
double calc_grid_r (Grid::LatticeGaugeField & lat);
double calc_grid_IW (Grid::LatticeGaugeField & lat);
double calc_grid_r_dir (Grid::LatticeGaugeField & lat);
double calc_chroma_r (Grid::LatticeGaugeField & lat);
double calc_chroma_IW (Grid::LatticeGaugeField & lat);
void check_grid_r_staple(Grid::LatticeGaugeField & Umu);
void check_grid_p_staple(Grid::LatticeGaugeField & Umu);
const double beta=2.6;
const double c1=-0.331;
#include <chroma.h>
#include <actions/ferm/invert/syssolver_linop_cg_array.h>
#include <actions/ferm/invert/syssolver_linop_aggregate.h>
namespace Chroma {
class ChromaWrapper {
public:
typedef multi1d<LatticeColorMatrix> U;
static void ImportGauge(Grid::LatticeGaugeField & 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);
std::vector<int> 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 Chroma::Handle< Chroma::LinearGaugeAction > GetRBCAction ( U &u )
{
Chroma::CreatePeriodicGaugeState<U,U> CPGS;
Chroma::Handle< Chroma::CreateGaugeState<U,U> > cgs (new Chroma::CreatePeriodicGaugeState<U,U>);
Chroma::Handle< Chroma::LinearGaugeAction> action = new Chroma::RBCGaugeAct(cgs,beta,c1);
return action;
}
static Chroma::Handle< Chroma::LinearGaugeAction > GetRectangle ( U &u )
{
Chroma::CreatePeriodicGaugeState<U,U> CPGS;
Chroma::Handle< Chroma::CreateGaugeState<U,U> > cgs (new Chroma::CreatePeriodicGaugeState<U,U>);
Chroma::Handle< Chroma::LinearGaugeAction> action = new Chroma::RectGaugeAct(cgs, Real(c1));
return action;
}
static Chroma::Handle< Chroma::LinearGaugeAction > GetPlaquette ( U &u )
{
Chroma::CreatePeriodicGaugeState<U,U> CPGS;
Chroma::Handle< Chroma::CreateGaugeState<U,U> > cgs (new Chroma::CreatePeriodicGaugeState<U,U>);
Chroma::Handle< Chroma::LinearGaugeAction> action = new Chroma::WilsonGaugeAct(cgs, Real(beta));
return action;
}
};
}
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());
std::vector<int> 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();
Grid::LatticeGaugeField lat(UGrid);
double s_grid = calc_grid_p (lat);
double s_chroma = calc_chroma_p(lat);
// Match conventions
double vol = UGrid->gSites();
s_chroma+= beta * QDP::Nd * (QDP::Nd-1)*vol *0.5;
std::cout << " Chroma/Grid plaquette = " <<s_chroma<<" "<<s_grid<<std::endl;
std::cout << " Chroma avg plaquette = " <<1.0 - s_chroma / vol/ 6 / beta <<std::endl;
s_grid = calc_grid_r (lat);
s_chroma = calc_chroma_r(lat);
std::cout << std::setprecision(10);
std::cout<< " bare s_chroma "<<s_chroma<<std::endl;
s_chroma+= c1 * 12.0 *vol ;
std::cout<< " adjusted s_chroma "<<s_chroma<<std::endl;
std::cout<< " adjust "<< c1 * 12.0 *vol <<std::endl;
std::cout << " Chroma/Grid rectangle = " <<s_chroma<<" "<<s_grid<<std::endl;
std::cout << " Chroma avg rectangle = " <<1.0 - s_chroma / vol/ 12.0 / c1 <<std::endl;
check_grid_r_staple(lat);
check_grid_p_staple(lat);
calc_grid_r_dir(lat);
// Iwasaki case
std::cout << "Checking Iwasaki action (Grid/Chroma) " << std::endl;
s_grid = calc_grid_IW(lat);
s_chroma = calc_chroma_IW(lat);
// Adjust for the missing "1" in chroma's action.
s_chroma+= beta * (1.0-8*c1) * QDP::Nd * (QDP::Nd-1)*vol *0.5;
s_chroma+= beta * c1 * 12.0 *vol ;
std::cout << "Iwasaki action (Grid/Chroma) = " << s_grid<< " " << s_chroma <<std::endl;
Chroma::finalize();
}
double calc_chroma_IW(Grid::LatticeGaugeField & lat)
{
typedef QDP::multi1d<QDP::LatticeColorMatrix> U;
QDP::multi1d<QDP::LatticeColorMatrix> u(4);
Chroma::ChromaWrapper::ImportGauge(lat,u) ;
for(int mu=0;mu<4;mu++){
std::cout <<"Imported Gauge norm ["<<mu<<"] "<< QDP::norm2(u[mu])<<std::endl;
}
auto action =Chroma::ChromaWrapper::GetRBCAction(u);
Chroma::Handle<GaugeState<U,U> > gs(action->getCreateState()(u));
Real act = action->S(gs);
double s = toDouble(act);
return s;
}
double calc_chroma_r(Grid::LatticeGaugeField & lat)
{
typedef QDP::multi1d<QDP::LatticeColorMatrix> U;
QDP::multi1d<QDP::LatticeColorMatrix> u(4);
Chroma::ChromaWrapper::ImportGauge(lat,u) ;
for(int mu=0;mu<4;mu++){
std::cout <<"Imported Gauge norm ["<<mu<<"] "<< QDP::norm2(u[mu])<<std::endl;
}
auto action =Chroma::ChromaWrapper::GetRectangle(u);
Chroma::Handle<GaugeState<U,U> > gs(action->getCreateState()(u));
Real act = action->S(gs);
double s = toDouble(act);
return s;
}
// Conventions matching:
//
// Chroma:
//
// w_plaq is defined in MesPlq as
// w_plaq =( 2/(V*Nd*(Nd-1)*Nc)) * Sum Re Tr Plaq
//
// S = -(coeff/(Nc) Sum Re Tr Plaq
//
// S = -coeff * (V*Nd*(Nd-1)/2) w_plaq
// = -coeff * (V*Nd*(Nd-1)/2)*(2/(V*Nd*(Nd-1)*Nc))* Sum Re Tr Plaq
// = -coeff * (1/(Nc)) * Sum Re Tr Plaq
//
// Grid: has 1-plaq as usual to define Fmunu
//
// action = beta*(1.0 -plaq)*(Nd*(Nd-1.0))*vol*0.5;
// action = beta * Nd*Nd-1*vol*0.5 - beta * Nd*Nd-1*vol*0.5*plaq
//
// plaq == sumplaq * 2/(V*Nd*(Nd-1)*Nc)
double calc_chroma_p(Grid::LatticeGaugeField & lat)
{
typedef QDP::multi1d<QDP::LatticeColorMatrix> U;
QDP::multi1d<QDP::LatticeColorMatrix> u(4);
Chroma::ChromaWrapper::ImportGauge(lat,u) ;
for(int mu=0;mu<4;mu++){
std::cout <<"Imported Gauge norm ["<<mu<<"] "<< QDP::norm2(u[mu])<<std::endl;
}
auto action =Chroma::ChromaWrapper::GetPlaquette(u);
Chroma::Handle<GaugeState<U,U> > gs(action->getCreateState()(u));
Real act = action->S(gs);
double s = toDouble(act);
return s;
}
double calc_grid_p(Grid::LatticeGaugeField & Umu)
{
std::vector<int> seeds4({1,2,3,4});
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
Grid::GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
Grid::SU3::HotConfiguration(RNG4,Umu);
Grid::LatticeColourMatrix tmp(UGrid);
tmp = Grid::zero;
Grid::PokeIndex<LorentzIndex>(Umu,tmp,2);
Grid::PokeIndex<LorentzIndex>(Umu,tmp,3);
Grid::WilsonGaugeActionR Wilson(beta); // Just take beta = 1.0
return Wilson.S(Umu);
}
double calc_grid_r(Grid::LatticeGaugeField & Umu)
{
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
Grid::PlaqPlusRectangleActionR Wilson(0.0,c1); // Just take beta = 0.0
return Wilson.S(Umu);
}
double calc_grid_IW(Grid::LatticeGaugeField & Umu)
{
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
Grid::IwasakiGaugeActionR Iwasaki(beta);
return Iwasaki.S(Umu);
}
double calc_grid_r_dir(Grid::LatticeGaugeField & Umu)
{
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
std::vector<Grid::LatticeColourMatrix> U(4,UGrid);
for(int mu=0;mu<Nd;mu++){
U[mu] = Grid::PeekIndex<LorentzIndex>(Umu,mu);
}
Grid::LatticeComplex rect(UGrid);
Grid::TComplex trect;
Grid::Complex crect;
Grid::RealD rrect;
Grid::RealD vol = UGrid->gSites();
for(int mu=0;mu<Grid::Nd;mu++){
for(int nu=0;nu<Grid::Nd;nu++){
if ( mu!=nu ) {
Grid::ColourWilsonLoops::traceDirRectangle(rect,U,mu,nu);
trect = Grid::sum(rect);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/2.0/3.0<<std::endl;
Grid::GridStopWatch Peter;
Grid::GridStopWatch Azusa;
// Staple test
Peter.Start();
{
Grid::LatticeColourMatrix Stap(UGrid);
Grid::LatticeComplex SumTrStap(UGrid);
Grid::LatticeComplex TrStap(UGrid);
/*
* Make staple for loops centered at coor of link ; this one is ok. // |
*/
// __ ___
// | __ |
Stap =
Grid::Cshift(Grid::PeriodicBC::CovShiftForward (U[mu],mu,
Grid::PeriodicBC::CovShiftForward (U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::Cshift(adj(U[nu]),nu,-1))))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
SumTrStap = TrStap;
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect=real(crect);
std::cout<< "mu/nu inline trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __
// |__ __ |
Stap = Grid::Cshift(Grid::PeriodicBC::CovShiftForward (U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu, U[nu])))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect=real(crect);
std::cout<< "mu/nu inline trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __
// |__ __ |
Stap = Grid::Cshift(Grid::PeriodicBC::CovShiftBackward(U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftForward(U[nu],nu,U[mu])))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __ ___
// |__ |
Stap = Grid::Cshift(Grid::PeriodicBC::CovShiftForward (U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[nu],nu,U[mu])))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// --
// | |
//
// | |
//
/*
* Make staple for loops centered at coor of link ; this one is ok. // |
*/
// Stap =
// Grid::Cshift(Grid::PeriodicBC::CovShiftForward(U[nu],nu,U[nu]),mu,1)* // ->||
// Grid::adj(Grid::PeriodicBC::CovShiftForward(U[nu],nu,Grid::PeriodicBC::CovShiftForward(U[nu],nu,U[mu]))) ;
Stap = Grid::Cshift(Grid::PeriodicBC::CovShiftForward(U[nu],nu,
Grid::PeriodicBC::CovShiftForward(U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftBackward(U[nu],nu, Grid::Cshift(adj(U[nu]),nu,-1))))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
SumTrStap += TrStap;
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline trace 1x2 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
//
// | |
//
// | |
// --
Stap = Grid::Cshift(Grid::PeriodicBC::CovShiftBackward(U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[nu],nu,
Grid::PeriodicBC::CovShiftBackward(U[mu],mu,
Grid::PeriodicBC::CovShiftForward (U[nu],nu,U[nu])))) , mu, 1);
TrStap = Grid::trace (U[mu]*Stap);
trect = Grid::sum(TrStap);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline trace 1x2 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
trect = Grid::sum(SumTrStap);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline trace 2x1+1x2 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/2.0/3.0<<std::endl;
}
Peter.Stop();
Azusa.Start();
{
Grid::LatticeComplex RectPlaq_d(UGrid);
Grid::LatticeColourMatrix ds_U(UGrid);
Grid::LatticeColourMatrix left_2(UGrid);
Grid::LatticeColourMatrix upper_l(UGrid);
Grid::LatticeColourMatrix upper_staple(UGrid);
Grid::LatticeColourMatrix down_l(UGrid);
Grid::LatticeColourMatrix down_staple(UGrid);
Grid::LatticeColourMatrix tmp(UGrid);
// 2 (mu)x1(nu)
left_2= Grid::PeriodicBC::CovShiftForward(U[mu],mu,U[mu]); // Umu(x) Umu(x+mu)
tmp=Grid::Cshift(U[nu],mu,2); // Unu(x+2mu)
upper_l= Grid::PeriodicBC::CovShiftForward(tmp,nu,Grid::adj(left_2)); // Unu(x+2mu) Umu^dag(x+mu+nu) Umu^dag(x+nu)
// __ __
// = |
// Unu(x-2mu) Umudag(x-mu+nu) Umudag(x+nu) Unudag(x)
// __ __
// upper_staple = | |
// v
upper_staple= upper_l*adj(U[nu]); // Unu(x+2mu) Umu^dag(x+mu+nu) Umu^dag(x+nu) Unu^dag(x)
//
// down_staple = |__ __|
//
tmp = adj(left_2*tmp)*U[nu];
down_staple= Grid::Cshift(tmp,nu,-1); // Unu^dag((x+2mu-nu) Umu^dag(x+mu-nu) Umu^dag(x-nu) Unu(x-nu)
// __ __
// | __|
//
tmp=Grid::Cshift(U[mu],mu,1);
ds_U=tmp*(upper_staple); // Umu(x+mu) Unu(x+2mu) Umu^dag(x+mu+nu) Umu^dag(x+nu) Unu^dag(x)
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __ __
// |__ |
//
tmp=upper_staple*U[mu];
ds_U= Grid::Cshift(tmp,mu,-1);
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __
// |__ __ |
//
tmp=Grid::Cshift(U[mu],mu,1);
ds_U=tmp*(down_staple); // Umu(x+mu) Unu^dag((x+2mu-nu) Umu^dag(x+mu-nu) Umu^dag(x-nu) Unu(x-nu)
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// __
// |__ __ |
//
tmp = down_staple*U[mu];
ds_U=Grid::Cshift(tmp,mu,-1);
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 2x1 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// 1(mu) x 2 (nu) ** this was ok
// _
// | |
// | |
Grid::LatticeColourMatrix up2= Grid::PeriodicBC::CovShiftForward(U[nu],nu,U[nu]);
upper_l= Grid::PeriodicBC::CovShiftForward(Grid::Cshift(up2,mu,1),nu,Grid::Cshift(adj(U[mu]),nu,1));
ds_U= upper_l*Grid::adj(up2);
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 1x2 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
// 1(mu) x 2 (nu) ** this was ok
//
// | |
// |_|
/*
|
V
downer_l= |
(x)<----V
*/
down_l= Grid::adj(Grid::PeriodicBC::CovShiftForward(U[mu],mu,up2)); //downer_l
/*
^ |
down_staple = | V
^ |
| V
(x)<----
down_staple= upper*upper_l;
*/
tmp= down_l*up2;
ds_U= Grid::Cshift(tmp,nu,-2);
RectPlaq_d = Grid::trace(U[mu]*ds_U);
trect = Grid::sum(RectPlaq_d);
crect = Grid::TensorRemove(trect);
rrect = real(crect);
std::cout<< "mu/nu inline AZUSA trace 1x2 code = "<<mu<<"/"<<nu<<" ; rect = "<<rrect/vol/1.0/3.0<<std::endl;
}
Azusa.Stop();
std::chrono::milliseconds pt = Peter.Elapsed();
std::chrono::milliseconds az = Azusa.Elapsed();
std::cout<< "Times ";
std::cout<<pt.count();
std::cout<<" A ";
std::cout<<az.count();
std::cout<<std::endl;
}
}}
Grid::PlaqPlusRectangleActionR Wilson(0.0,c1); // Just take beta = 0.0
return Wilson.S(Umu);
};
void check_grid_r_staple(Grid::LatticeGaugeField & Umu)
{
std::vector<int> seeds4({1,2,3,4});
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
Grid::PlaqPlusRectangleActionR Wilson(0.0,c1); // Just take beta = 0.0
Grid::LatticeColourMatrix staple(UGrid);
Grid::LatticeColourMatrix link(UGrid);
Grid::LatticeComplex Traced(UGrid);
Grid::Complex Rplaq(0.0);
for(int mu=0;mu<Nd;mu++){
Grid::RealD vol = UGrid->gSites();
// for mu, nu!=mu => 12
// 6 loops contribute to staple for each orientation.
// Nc=3.
// Vol as for each site
Grid::RealD RectScale(1.0/vol/12.0/6.0/3.0);
Grid::ColourWilsonLoops::RectStaple(staple,Umu,mu);
link = Grid::PeekIndex<LorentzIndex>(Umu,mu);
Traced = Grid::trace( link*staple) * RectScale;
Grid::TComplex Tp = Grid::sum(Traced);
Grid::Complex p = Grid::TensorRemove(Tp);
std::cout<< "Rect from RectStaple "<<p<<std::endl;
Rplaq = Rplaq+ p;
}
std::cout<< "Rect from RectStaple "<<Rplaq<<std::endl;
}
void check_grid_p_staple(Grid::LatticeGaugeField & Umu)
{
std::vector<int> seeds4({1,2,3,4});
Grid::GridCartesian * UGrid = (Grid::GridCartesian *) Umu.Grid();
Grid::PlaqPlusRectangleActionR Wilson(1.0,0.0); // Just take c1 = 0.0
Grid::LatticeColourMatrix staple(UGrid);
Grid::LatticeColourMatrix link(UGrid);
Grid::LatticeComplex Traced(UGrid);
Grid::Complex plaq(0.0);
for(int mu=0;mu<Nd;mu++){
Grid::RealD vol = UGrid->gSites();
// for mu, nu!=mu => 12
// 2 loops contribute to staple for each orientation.
// Nc=3.
// Vol as for each site
Grid::RealD Scale(1.0/vol/12.0/2.0/3.0);
Grid::ColourWilsonLoops::Staple(staple,Umu,mu);
link = Grid::PeekIndex<LorentzIndex>(Umu,mu);
Traced = Grid::trace( link*staple) * Scale;
Grid::TComplex Tp = Grid::sum(Traced);
Grid::Complex p = Grid::TensorRemove(Tp);
std::cout<< "Plaq from PlaqStaple "<<p<<std::endl;
plaq = plaq+ p;
}
std::cout<< "Plaq from PlaqStaple "<<plaq<<std::endl;
}
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