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Debugged smearing for EOWilson, accepts

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This commit is contained in:
Guido Cossu
2016-07-04 15:35:37 +01:00
parent 8dd099267d
commit 0fa66e8f3c
4 changed files with 305 additions and 400 deletions
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8
lib/qcd/hmc/integrators/Integrator.h
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@@ -113,15 +113,17 @@ namespace Grid{
}
void update_P(GaugeField &Mom,GaugeField&U, int level,double ep){
// input U actually not used...
for(int a=0; a<as[level].actions.size(); ++a){
GaugeField force(U._grid);
GaugeField& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared);
as[level].actions.at(a)->deriv(Us,force); // deriv should not include Ta
as[level].actions.at(a)->deriv(Us,force); // deriv should NOT include Ta
std::cout<< GridLogIntegrator << "Smearing (on/off): "<<as[level].actions.at(a)->is_smeared <<std::endl;
if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
force = Ta(force);
std::cout<< GridLogIntegrator << "Force average: "<< norm2(force)/(U._grid->gSites()) <<std::endl;
Mom = Mom - force*ep;
Mom -= force*ep;
}
}
@@ -184,7 +186,7 @@ namespace Grid{
}
// Calculate action
RealD S(GaugeField& U){
RealD S(GaugeField& U){// here also U not used
LatticeComplex Hloc(U._grid); Hloc = zero;
// Momenta

23
lib/qcd/smearing/APEsmearing.h
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@@ -30,7 +30,7 @@
// Constructors and destructors
Smear_APE(const std::vector<double>& rho_):rho(rho_){}
Smear_APE(const std::vector<double>& rho_):rho(rho_){} // check vector size
Smear_APE(double rho_val):rho(set_rho(rho_val)){}
Smear_APE():rho(set_rho(1.0)){}
~Smear_APE(){}
@@ -38,7 +38,6 @@
///////////////////////////////////////////////////////////////////////////////
void smear(GaugeField& u_smr, const GaugeField& U)const{
GridBase *grid = U._grid;
double d_rho;
GaugeLinkField Cup(grid), tmp_stpl(grid);
WilsonLoops<Gimpl> WL;
u_smr = zero;
@@ -47,14 +46,13 @@
Cup = zero;
for(int nu=0; nu<Nd; ++nu){
if (nu != mu) {
d_rho = rho[mu + Nd * nu];
// get the staple in direction mu, nu
WL.Staple(tmp_stpl, U, mu, nu); //nb staple conventions of IroIro and Grid differ by a dagger
Cup += tmp_stpl*d_rho;
Cup += tmp_stpl*rho[mu + Nd * nu];
}
}
// save the Cup link-field on the u_smr gauge-field
pokeLorentz(u_smr, adj(Cup), mu); // u_smr[mu] = Cup^dag
pokeLorentz(u_smr, adj(Cup), mu); // u_smr[mu] = Cup^dag see conventions for Staple
}
}
@@ -70,7 +68,6 @@ void derivative(GaugeField& SigmaTerm,
// Output SigmaTerm
GridBase *grid = U._grid;
int vol = U._grid->gSites();
WilsonLoops<Gimpl> WL;
GaugeLinkField staple(grid), u_tmp(grid);
@@ -80,32 +77,32 @@ void derivative(GaugeField& SigmaTerm,
Real rho_munu, rho_numu;
for(int mu = 0; mu < Nd; ++mu){
U_mu = PeekIndex<LorentzIndex>( U, mu);
iLambda_mu = PeekIndex<LorentzIndex>(iLambda, mu);
U_mu = peekLorentz( U, mu);
iLambda_mu = peekLorentz(iLambda, mu);
for(int nu = 0; nu < Nd; ++nu){
if(nu==mu) continue;
U_nu = PeekIndex<LorentzIndex>( U, nu);
iLambda_nu = PeekIndex<LorentzIndex>(iLambda, nu);
U_nu = peekLorentz( U, nu);
iLambda_nu = peekLorentz(iLambda, nu);
rho_munu = rho[mu + Nd * nu];
rho_numu = rho[nu + Nd * mu];
WL.StapleUpper(staple, U, mu, nu);
temp_Sigma = -rho_numu*staple*iLambda_nu;
temp_Sigma = -rho_numu*staple*iLambda_nu; //ok
//-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity?
temp_Sigma = rho_numu*sh_field*staple;
temp_Sigma = rho_numu*sh_field*staple; //ok
//r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_mu, nu, 1);
temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu);
temp_Sigma = -rho_munu*staple*U_nu*sh_field*adj(U_nu); //ok
//-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);

69
lib/qcd/smearing/GaugeConfiguration.h
View File

@@ -17,7 +17,7 @@
the HMC update and integrators.
An "advanced configuration" object that can provide not only the
data to store the gauge configuration but also operations to manipulate
it like smearing.
it, like smearing.
It stores a list of smeared configurations.
*/
@@ -68,6 +68,8 @@ GaugeField AnalyticSmearedForce(const GaugeField& SigmaKPrime,
GaugeLinkField GaugeKmu(grid), Cmu(grid);
StoutSmearing.BaseSmear(C, GaugeK);
SigmaK = zero;
iLambda = zero;
for (int mu = 0; mu < Nd; mu++){
Cmu = peekLorentz( C,mu);
@@ -101,17 +103,17 @@ void set_iLambda(GaugeLinkField& iLambda,
GaugeLinkField unity(grid);
unity=1.0;
LatticeReal u(grid), w(grid);
LatticeComplex u(grid), w(grid);
LatticeComplex f0(grid), f1(grid), f2(grid);
LatticeReal xi0(grid), xi1(grid), tmp(grid);
LatticeReal u2(grid), w2(grid), cosw(grid);
LatticeComplex xi0(grid), xi1(grid), tmp(grid);
LatticeComplex u2(grid), w2(grid), cosw(grid);
LatticeComplex emiu(grid), e2iu(grid), qt(grid), fden(grid);
LatticeComplex r01(grid), r11(grid), r21(grid), r02(grid), r12(grid);
LatticeComplex r22(grid), tr1(grid), tr2(grid);
LatticeComplex b10(grid), b11(grid), b12(grid), b20(grid), b21(grid), b22(grid);
LatticeReal LatticeUnitReal(grid);
LatticeComplex LatticeUnitComplex(grid);
LatticeUnitReal = 1.0;
LatticeUnitComplex = 1.0;
// Exponential
iQ2 = iQ * iQ;
@@ -121,44 +123,44 @@ void set_iLambda(GaugeLinkField& iLambda,
e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2;
// Getting B1, B2, Gamma and Lambda
// simplify this part, reduntant calculations in set_fj
xi0 = StoutSmearing.func_xi0(w);
xi1 = StoutSmearing.func_xi1(w);
u2 = u * u;
w2 = w * w;
cosw = cos(w);
emiu = toComplex(cos(u)) - timesI(toComplex(sin(u)));
e2iu = toComplex(cos(2.0*u)) + timesI(toComplex(sin(2.0*u)));
emiu = cos(u) - timesI(sin(u));
e2iu = cos(2.0*u) + timesI(sin(2.0*u));
r01 = (toComplex(2.0*u) + timesI(toComplex(2.0*(u2-w2)))) * e2iu
+ emiu * (toComplex(16.0*u*cosw + 2.0*u*(3.0*u2+w2)*xi0) +
timesI(toComplex(-8.0*u2*cosw + 2.0*(9.0*u2+w2)*xi0)));
r01 = (2.0*u + timesI(2.0*(u2-w2))) * e2iu
+ emiu * ((16.0*u*cosw + 2.0*u*(3.0*u2+w2)*xi0) +
timesI(-8.0*u2*cosw + 2.0*(9.0*u2+w2)*xi0));
r11 = (toComplex(2.0*LatticeUnitReal) + timesI(toComplex(4.0*u)))* e2iu
+ emiu * (toComplex(-2.0*cosw + (3.0*u2-w2)*xi0) +
timesI(toComplex(2.0*u*cosw + 6.0*u*xi0)));
r11 = (2.0*LatticeUnitComplex + timesI(4.0*u))* e2iu
+ emiu * ((-2.0*cosw + (3.0*u2-w2)*xi0) +
timesI((2.0*u*cosw + 6.0*u*xi0)));
r21 = 2.0*timesI(e2iu)
+ emiu * (toComplex(-3.0*u*xi0) + timesI(toComplex(cosw - 3.0*xi0)));
+ emiu * (-3.0*u*xi0 + timesI(cosw - 3.0*xi0));
r02 = -2.0 * e2iu + emiu * (toComplex(-8.0*u2*xi0) +
timesI(toComplex(2.0*u*(cosw + xi0 + 3.0*u2*xi1))));
r02 = -2.0 * e2iu + emiu * (-8.0*u2*xi0 +
timesI(2.0*u*(cosw + xi0 + 3.0*u2*xi1)));
r12 = emiu * (toComplex(2.0*u*xi0) + timesI(toComplex(-cosw - xi0 + 3.0*u2*xi1)));
r12 = emiu * (2.0*u*xi0 + timesI(-cosw - xi0 + 3.0*u2*xi1));
r22 = emiu * (toComplex(xi0) - timesI(toComplex(3.0*u*xi1)));
r22 = emiu * (xi0 - timesI(3.0*u*xi1));
tmp = (2.0*(9.0*u2-w2)*(9.0*u2-w2));
fden = toComplex(pow(tmp, -1.0)); // 1/tmp
fden = LatticeUnitComplex/(2.0*(9.0*u2-w2)*(9.0*u2-w2));
b10 = toComplex(2.0*u) * r01 + toComplex(3.0*u2 - w2)*r02 - toComplex(30.0*u2 + 2.0*w2)*f0;
b11 = toComplex(2.0*u) * r11 + toComplex(3.0*u2 - w2)*r12 - toComplex(30.0*u2 + 2.0*w2)*f1;
b12 = toComplex(2.0*u) * r21 + toComplex(3.0*u2 - w2)*r22 - toComplex(30.0*u2 + 2.0*w2)*f2;
b10 = 2.0 * u * r01 + (3.0* u2 - w2)*r02 - (30.0 * u2 + 2.0 * w2)*f0;
b11 = 2.0 * u * r11 + (3.0* u2 - w2)*r12 - (30.0 * u2 + 2.0 * w2)*f1;
b12 = 2.0 * u * r21 + (3.0* u2 - w2)*r22 - (30.0 * u2 + 2.0 * w2)*f2;
b20 = r01 - toComplex(3.0*u)*r02 - toComplex(24.0*u)*f0;
b21 = r11 - toComplex(3.0*u)*r12 - toComplex(24.0*u)*f1;
b22 = r21 - toComplex(3.0*u)*r22 - toComplex(24.0*u)*f2;
b20 = r01 - (3.0*u)*r02 - (24.0*u)*f0;
b21 = r11 - (3.0*u)*r12 - (24.0*u)*f1;
b22 = r21 - (3.0*u)*r22 - (24.0*u)*f2;
b10 *= fden;
b11 *= fden;
@@ -167,6 +169,7 @@ void set_iLambda(GaugeLinkField& iLambda,
b21 *= fden;
b22 *= fden;
B1 = b10*unity + timesMinusI(b11) * iQ - b12 * iQ2;
B2 = b20*unity + timesMinusI(b21) * iQ - b22 * iQ2;
USigmap = GaugeK * Sigmap;
@@ -180,8 +183,7 @@ void set_iLambda(GaugeLinkField& iLambda,
GaugeLinkField iGamma = tr1 * timesMinusI(iQ) - tr2 * iQ2 +
f1 * USigmap + f2 * QUS + f2 * USQ;
iLambda = Ta(iGamma);
iLambda = Ta(timesI(iGamma));
}
@@ -214,15 +216,18 @@ public:
//====================================================================
void smeared_force(GaugeField& SigmaTilde) const{
if (smearingLevels > 0){
GaugeField force = SigmaTilde;//actually = U*SigmaTilde
GaugeField force(SigmaTilde._grid);
GaugeLinkField tmp_mu(SigmaTilde._grid);
force = SigmaTilde;//actually = U*SigmaTilde
for (int mu = 0; mu < Nd; mu++){
// to get SigmaTilde
// to get just SigmaTilde
tmp_mu = adj(peekLorentz(SmearedSet[smearingLevels-1], mu)) * peekLorentz(force,mu);
pokeLorentz(force, tmp_mu, mu);
}
for(int ismr = smearingLevels - 1; ismr > 0; --ismr)
force = AnalyticSmearedForce(force,get_smeared_conf(ismr-1));
@@ -246,7 +251,7 @@ GaugeField& get_U(bool smeared=false) {
if (smeared){
if (smearingLevels){
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(SmearedSet[smearingLevels-1]);
std::cout<< GridLogDebug << "getting U Plaq: " << impl_plaq<< std::endl;
std::cout<< GridLogDebug << "getting Usmr Plaq: " << impl_plaq<< std::endl;
return get_SmearedU();
}

121
lib/qcd/smearing/StoutSmearing.h
View File

@@ -12,7 +12,6 @@
template <class Gimpl>
class Smear_Stout: public Smear<Gimpl> {
private:
const std::vector<double> d_rho;
const Smear < Gimpl > * SmearBase;
public:
@@ -27,11 +26,9 @@
static_assert(Nc==3, "Stout smearing currently implemented only for Nc==3");
}
~Smear_Stout(){}
~Smear_Stout(){} //delete SmearBase...
void smear(GaugeField& u_smr,const GaugeField& U) const{
GaugeField C(U._grid);
GaugeLinkField tmp(U._grid), iq_mu(U._grid), Umu(U._grid);
@@ -39,24 +36,16 @@
//Smear the configurations
SmearBase->smear(C, U);
for (int mu = 0; mu<Nd; mu++)
{
tmp = peekLorentz(C,mu);
Umu = peekLorentz(U,mu);
std::cout << "source matrix " << Umu << std::endl;
iq_mu = Ta(tmp * adj(Umu)); // iq_mu = Ta(Omega_mu) to match the signs with the paper
exponentiate_iQ(tmp, iq_mu);
//Debug check
GaugeLinkField check = adj(tmp) * tmp - 1.0;
std::cout << "check " << check << std::endl;
pokeLorentz(u_smr, tmp*Umu, mu);// u_smr = exp(iQ_mu)*U_mu
}
std::cout<< GridLogDebug << "Stout smearing completed\n";
};
@@ -95,14 +84,8 @@
iQ2 = iQ * iQ;
iQ3 = iQ * iQ2;
set_uw_complex(u, w, iQ2, iQ3);
set_fj_complex(f0, f1, f2, u, w);
std::cout << "f0 " << f0 << std::endl;
std::cout << "f1 " << f1 << std::endl;
std::cout << "f2 " << f2 << std::endl;
std::cout << "iQ " << iQ << std::endl;
std::cout << "iQ2 " << iQ2 << std::endl;
set_uw(u, w, iQ2, iQ3);
set_fj(f0, f1, f2, u, w);
e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2;
@@ -110,28 +93,7 @@
};
void set_uw(LatticeReal& u, LatticeReal& w,
GaugeLinkField& iQ2, GaugeLinkField& iQ3) const{
Real one_over_three = 1.0/3.0;
Real one_over_two = 1.0/2.0;
GridBase *grid = u._grid;
LatticeReal c0(grid), c1(grid), tmp(grid), c0max(grid), theta(grid);
// sign in c0 from the conventions on the Ta
// c0 = - toReal(imag(trace(iQ3))) * one_over_three;
c0 = - toReal(real(timesMinusI(trace(iQ3)))) * one_over_three; //slow and temporary, FIX the bug in imag
c1 = - toReal(real(trace(iQ2))) * one_over_two;
tmp = c1 * one_over_three;
c0max = 2.0 * pow(tmp, 1.5);
theta = acos(c0/c0max);
u = sqrt(tmp) * cos( theta * one_over_three);
w = sqrt(c1) * sin( theta * one_over_three);
}
void set_uw_complex(LatticeComplex& u, LatticeComplex& w,
void set_uw(LatticeComplex& u, LatticeComplex& w,
GaugeLinkField& iQ2, GaugeLinkField& iQ3) const{
Complex one_over_three = 1.0/3.0;
Complex one_over_two = 1.0/2.0;
@@ -144,64 +106,15 @@
c1 = - real(trace(iQ2)) * one_over_two;
//Cayley Hamilton checks to machine precision, tested
std::cout << "c0 " << c0 << std::endl;
std::cout << "c1 " << c1 << std::endl;
tmp = c1 * one_over_three;
c0max = 2.0 * pow(tmp, 1.5);
std::cout << "c0max " << c0max << std::endl;
LatticeComplex tempratio = c0/c0max;
std::cout << "ratio c0/c0max " << tempratio << std::endl;
theta = acos(c0/c0max); // divide by three here, now leave as it is
std::cout << "theta " << theta << std::endl;
u = sqrt(tmp) * cos( theta * one_over_three);
w = sqrt(c1) * sin( theta * one_over_three);
std::cout << "u " << u << std::endl;
std::cout << "w " << w << std::endl;
theta = acos(c0/c0max)*one_over_three; // divide by three here, now leave as it is
u = sqrt(tmp) * cos( theta );
w = sqrt(c1) * sin( theta );
}
void set_fj(LatticeComplex& f0, LatticeComplex& f1, LatticeComplex& f2,
const LatticeReal& u, const LatticeReal& w) const{
GridBase *grid = u._grid;
LatticeReal xi0(grid), u2(grid), w2(grid), cosw(grid), tmp(grid);
LatticeComplex fden(grid);
LatticeComplex h0(grid), h1(grid), h2(grid);
LatticeComplex e2iu(grid), emiu(grid), ixi0(grid), qt(grid);
xi0 = func_xi0(w);
u2 = u * u;
w2 = w * w;
cosw = cos(w);
ixi0 = timesI(toComplex(xi0));
emiu = toComplex(cos(u)) - timesI(toComplex(sin(u)));
e2iu = toComplex(cos(2.0*u)) + timesI(toComplex(sin(2.0*u)));
h0 = e2iu * toComplex(u2 - w2) + emiu *( toComplex(8.0*u2*cosw) +
toComplex(2.0*u*(3.0*u2 + w2))*ixi0);
h1 = toComplex(2.0*u) * e2iu - emiu*( toComplex(2.0*u*cosw) -
toComplex(3.0*u2-w2)*ixi0);
h2 = e2iu - emiu * (toComplex(cosw) + toComplex(3.0*u)*ixi0);
tmp = 9.0*u2 - w2;
fden = toComplex(pow(tmp, -1.0));
f0 = h0 * fden;
f1 = h1 * fden;
f2 = h2 * fden;
}
void set_fj_complex(LatticeComplex& f0, LatticeComplex& f1, LatticeComplex& f2,
const LatticeComplex& u, const LatticeComplex& w) const{
GridBase *grid = u._grid;
@@ -212,47 +125,35 @@
LatticeComplex unity(grid);
unity = 1.0;
xi0 = sin(w)/w;//func_xi0(w);
std::cout << "xi0 " << xi0 << std::endl;
xi0 = func_xi0(w);
u2 = u * u;
std::cout << "u2 " << u2 << std::endl;
w2 = w * w;
std::cout << "w2 " << w2 << std::endl;
cosw = cos(w);
std::cout << "cosw " << cosw << std::endl;
ixi0 = timesI(xi0);
emiu = cos(u) - timesI(sin(u));
e2iu = cos(2.0*u) + timesI(sin(2.0*u));
std::cout << "emiu " << emiu << std::endl;
std::cout << "e2iu " << e2iu << std::endl;
h0 = e2iu * (u2 - w2) + emiu * ( (8.0*u2*cosw) + (2.0*u*(3.0*u2 + w2)*ixi0));
h1 = e2iu * (2.0 * u) - emiu * ( (2.0*u*cosw) - (3.0*u2-w2)*ixi0);
h2 = e2iu - emiu * ( cosw + (3.0*u)*ixi0);
std::cout << "h0 " << h0 << std::endl;
std::cout << "h1 " << h1 << std::endl;
std::cout << "h2 " << h2 << std::endl;
fden = unity/(9.0*u2 - w2);// reals
std::cout << "fden " << fden << std::endl;
f0 = h0 * fden;
f1 = h1 * fden;
f2 = h2 * fden;
}
LatticeReal func_xi0(const LatticeReal& w) const{
LatticeComplex func_xi0(const LatticeComplex& w) const{
// Define a function to do the check
//if( w < 1e-4 ) std::cout << GridLogWarning<< "[Smear_stout] w too small: "<< w <<"\n";
return sin(w)/w;
}
LatticeReal func_xi1(const LatticeReal& w) const{
LatticeComplex func_xi1(const LatticeComplex& w) const{
// Define a function to do the check
//if( w < 1e-4 ) std::cout << GridLogWarning << "[Smear_stout] w too small: "<< w <<"\n";
return cos(w)/(w*w) - sin(w)/(w*w*w);