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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){ 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){ for(int a=0; a<as[level].actions.size(); ++a){
GaugeField force(U._grid); GaugeField force(U._grid);
GaugeField& Us = Smearer.get_U(as[level].actions.at(a)->is_smeared); 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; 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); if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
force = Ta(force); force = Ta(force);
std::cout<< GridLogIntegrator << "Force average: "<< norm2(force)/(U._grid->gSites()) <<std::endl; 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 // Calculate action
RealD S(GaugeField& U){ RealD S(GaugeField& U){// here also U not used
LatticeComplex Hloc(U._grid); Hloc = zero; LatticeComplex Hloc(U._grid); Hloc = zero;
// Momenta // Momenta

23
lib/qcd/smearing/APEsmearing.h
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@@ -30,7 +30,7 @@
// Constructors and destructors // 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(double rho_val):rho(set_rho(rho_val)){}
Smear_APE():rho(set_rho(1.0)){} Smear_APE():rho(set_rho(1.0)){}
~Smear_APE(){} ~Smear_APE(){}
@@ -38,7 +38,6 @@
/////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////
void smear(GaugeField& u_smr, const GaugeField& U)const{ void smear(GaugeField& u_smr, const GaugeField& U)const{
GridBase *grid = U._grid; GridBase *grid = U._grid;
double d_rho;
GaugeLinkField Cup(grid), tmp_stpl(grid); GaugeLinkField Cup(grid), tmp_stpl(grid);
WilsonLoops<Gimpl> WL; WilsonLoops<Gimpl> WL;
u_smr = zero; u_smr = zero;
@@ -47,14 +46,13 @@
Cup = zero; Cup = zero;
for(int nu=0; nu<Nd; ++nu){ for(int nu=0; nu<Nd; ++nu){
if (nu != mu) { if (nu != mu) {
d_rho = rho[mu + Nd * nu];
// get the staple in direction mu, 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 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 // 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 // Output SigmaTerm
GridBase *grid = U._grid; GridBase *grid = U._grid;
int vol = U._grid->gSites();
WilsonLoops<Gimpl> WL; WilsonLoops<Gimpl> WL;
GaugeLinkField staple(grid), u_tmp(grid); GaugeLinkField staple(grid), u_tmp(grid);
@@ -80,32 +77,32 @@ void derivative(GaugeField& SigmaTerm,
Real rho_munu, rho_numu; Real rho_munu, rho_numu;
for(int mu = 0; mu < Nd; ++mu){ for(int mu = 0; mu < Nd; ++mu){
U_mu = PeekIndex<LorentzIndex>( U, mu); U_mu = peekLorentz( U, mu);
iLambda_mu = PeekIndex<LorentzIndex>(iLambda, mu); iLambda_mu = peekLorentz(iLambda, mu);
for(int nu = 0; nu < Nd; ++nu){ for(int nu = 0; nu < Nd; ++nu){
if(nu==mu) continue; if(nu==mu) continue;
U_nu = PeekIndex<LorentzIndex>( U, nu); U_nu = peekLorentz( U, nu);
iLambda_nu = PeekIndex<LorentzIndex>(iLambda, nu); iLambda_nu = peekLorentz(iLambda, nu);
rho_munu = rho[mu + Nd * nu]; rho_munu = rho[mu + Nd * nu];
rho_numu = rho[nu + Nd * mu]; rho_numu = rho[nu + Nd * mu];
WL.StapleUpper(staple, U, mu, nu); 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) //-r_numu*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)*Lambda_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu); Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_nu, mu, 1);// general also for Gparity? 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) //r_numu*Lambda_nu(mu)*U_nu(x+mu)*Udag_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu); Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);
sh_field = Cshift(iLambda_mu, nu, 1); 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) //-r_munu*U_nu(x+mu)*Udag_mu(x+nu)*Lambda_mu(x+nu)*Udag_nu(x)
Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu); Gimpl::AddGaugeLink(SigmaTerm, temp_Sigma, mu);

69
lib/qcd/smearing/GaugeConfiguration.h
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@@ -17,7 +17,7 @@
the HMC update and integrators. the HMC update and integrators.
An "advanced configuration" object that can provide not only the An "advanced configuration" object that can provide not only the
data to store the gauge configuration but also operations to manipulate data to store the gauge configuration but also operations to manipulate
it like smearing. it, like smearing.
It stores a list of smeared configurations. It stores a list of smeared configurations.
*/ */
@@ -68,6 +68,8 @@ GaugeField AnalyticSmearedForce(const GaugeField& SigmaKPrime,
GaugeLinkField GaugeKmu(grid), Cmu(grid); GaugeLinkField GaugeKmu(grid), Cmu(grid);
StoutSmearing.BaseSmear(C, GaugeK); StoutSmearing.BaseSmear(C, GaugeK);
SigmaK = zero;
iLambda = zero;
for (int mu = 0; mu < Nd; mu++){ for (int mu = 0; mu < Nd; mu++){
Cmu = peekLorentz( C,mu); Cmu = peekLorentz( C,mu);
@@ -101,17 +103,17 @@ void set_iLambda(GaugeLinkField& iLambda,
GaugeLinkField unity(grid); GaugeLinkField unity(grid);
unity=1.0; unity=1.0;
LatticeReal u(grid), w(grid); LatticeComplex u(grid), w(grid);
LatticeComplex f0(grid), f1(grid), f2(grid); LatticeComplex f0(grid), f1(grid), f2(grid);
LatticeReal xi0(grid), xi1(grid), tmp(grid); LatticeComplex xi0(grid), xi1(grid), tmp(grid);
LatticeReal u2(grid), w2(grid), cosw(grid); LatticeComplex u2(grid), w2(grid), cosw(grid);
LatticeComplex emiu(grid), e2iu(grid), qt(grid), fden(grid); LatticeComplex emiu(grid), e2iu(grid), qt(grid), fden(grid);
LatticeComplex r01(grid), r11(grid), r21(grid), r02(grid), r12(grid); LatticeComplex r01(grid), r11(grid), r21(grid), r02(grid), r12(grid);
LatticeComplex r22(grid), tr1(grid), tr2(grid); LatticeComplex r22(grid), tr1(grid), tr2(grid);
LatticeComplex b10(grid), b11(grid), b12(grid), b20(grid), b21(grid), b22(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 // Exponential
iQ2 = iQ * iQ; iQ2 = iQ * iQ;
@@ -121,44 +123,44 @@ void set_iLambda(GaugeLinkField& iLambda,
e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2; e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2;
// Getting B1, B2, Gamma and Lambda // Getting B1, B2, Gamma and Lambda
// simplify this part, reduntant calculations in set_fj
xi0 = StoutSmearing.func_xi0(w); xi0 = StoutSmearing.func_xi0(w);
xi1 = StoutSmearing.func_xi1(w); xi1 = StoutSmearing.func_xi1(w);
u2 = u * u; u2 = u * u;
w2 = w * w; w2 = w * w;
cosw = cos(w); cosw = cos(w);
emiu = toComplex(cos(u)) - timesI(toComplex(sin(u))); emiu = cos(u) - timesI(sin(u));
e2iu = toComplex(cos(2.0*u)) + timesI(toComplex(sin(2.0*u))); e2iu = cos(2.0*u) + timesI(sin(2.0*u));
r01 = (toComplex(2.0*u) + timesI(toComplex(2.0*(u2-w2)))) * e2iu r01 = (2.0*u + timesI(2.0*(u2-w2))) * e2iu
+ emiu * (toComplex(16.0*u*cosw + 2.0*u*(3.0*u2+w2)*xi0) + + emiu * ((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))); timesI(-8.0*u2*cosw + 2.0*(9.0*u2+w2)*xi0));
r11 = (toComplex(2.0*LatticeUnitReal) + timesI(toComplex(4.0*u)))* e2iu r11 = (2.0*LatticeUnitComplex + timesI(4.0*u))* e2iu
+ emiu * (toComplex(-2.0*cosw + (3.0*u2-w2)*xi0) + + emiu * ((-2.0*cosw + (3.0*u2-w2)*xi0) +
timesI(toComplex(2.0*u*cosw + 6.0*u*xi0))); timesI((2.0*u*cosw + 6.0*u*xi0)));
r21 = 2.0*timesI(e2iu) 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) + r02 = -2.0 * e2iu + emiu * (-8.0*u2*xi0 +
timesI(toComplex(2.0*u*(cosw + xi0 + 3.0*u2*xi1)))); 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 = LatticeUnitComplex/(2.0*(9.0*u2-w2)*(9.0*u2-w2));
fden = toComplex(pow(tmp, -1.0)); // 1/tmp
b10 = toComplex(2.0*u) * r01 + toComplex(3.0*u2 - w2)*r02 - toComplex(30.0*u2 + 2.0*w2)*f0; b10 = 2.0 * u * r01 + (3.0* u2 - w2)*r02 - (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; b11 = 2.0 * u * r11 + (3.0* u2 - w2)*r12 - (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; 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; b20 = r01 - (3.0*u)*r02 - (24.0*u)*f0;
b21 = r11 - toComplex(3.0*u)*r12 - toComplex(24.0*u)*f1; b21 = r11 - (3.0*u)*r12 - (24.0*u)*f1;
b22 = r21 - toComplex(3.0*u)*r22 - toComplex(24.0*u)*f2; b22 = r21 - (3.0*u)*r22 - (24.0*u)*f2;
b10 *= fden; b10 *= fden;
b11 *= fden; b11 *= fden;
@@ -167,6 +169,7 @@ void set_iLambda(GaugeLinkField& iLambda,
b21 *= fden; b21 *= fden;
b22 *= fden; b22 *= fden;
B1 = b10*unity + timesMinusI(b11) * iQ - b12 * iQ2; B1 = b10*unity + timesMinusI(b11) * iQ - b12 * iQ2;
B2 = b20*unity + timesMinusI(b21) * iQ - b22 * iQ2; B2 = b20*unity + timesMinusI(b21) * iQ - b22 * iQ2;
USigmap = GaugeK * Sigmap; USigmap = GaugeK * Sigmap;
@@ -180,8 +183,7 @@ void set_iLambda(GaugeLinkField& iLambda,
GaugeLinkField iGamma = tr1 * timesMinusI(iQ) - tr2 * iQ2 + GaugeLinkField iGamma = tr1 * timesMinusI(iQ) - tr2 * iQ2 +
f1 * USigmap + f2 * QUS + f2 * USQ; f1 * USigmap + f2 * QUS + f2 * USQ;
iLambda = Ta(iGamma); iLambda = Ta(timesI(iGamma));
} }
@@ -214,15 +216,18 @@ public:
//==================================================================== //====================================================================
void smeared_force(GaugeField& SigmaTilde) const{ void smeared_force(GaugeField& SigmaTilde) const{
if (smearingLevels > 0){ if (smearingLevels > 0){
GaugeField force = SigmaTilde;//actually = U*SigmaTilde GaugeField force(SigmaTilde._grid);
GaugeLinkField tmp_mu(SigmaTilde._grid); GaugeLinkField tmp_mu(SigmaTilde._grid);
force = SigmaTilde;//actually = U*SigmaTilde
for (int mu = 0; mu < Nd; mu++){ 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); tmp_mu = adj(peekLorentz(SmearedSet[smearingLevels-1], mu)) * peekLorentz(force,mu);
pokeLorentz(force, tmp_mu, mu); pokeLorentz(force, tmp_mu, mu);
} }
for(int ismr = smearingLevels - 1; ismr > 0; --ismr) for(int ismr = smearingLevels - 1; ismr > 0; --ismr)
force = AnalyticSmearedForce(force,get_smeared_conf(ismr-1)); force = AnalyticSmearedForce(force,get_smeared_conf(ismr-1));
@@ -246,7 +251,7 @@ GaugeField& get_U(bool smeared=false) {
if (smeared){ if (smeared){
if (smearingLevels){ if (smearingLevels){
RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(SmearedSet[smearingLevels-1]); 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(); return get_SmearedU();
} }

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

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