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249 lines
7.3 KiB
C++
249 lines
7.3 KiB
C++
/*!
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@file GaugeConfiguration.h
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@brief Declares the GaugeConfiguration class
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*/
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#ifndef GAUGE_CONFIG_
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#define GAUGE_CONFIG_
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namespace Grid {
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namespace QCD {
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/*!
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@brief Smeared configuration container
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It will behave like a configuration from the point of view of
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the HMC update and integrators.
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An "advanced configuration" object that can provide not only the
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data to store the gauge configuration but also operations to manipulate
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it like smearing.
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It stores a list of smeared configurations.
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*/
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template <class Gimpl>
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class SmearedConfiguration {
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public:
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INHERIT_GIMPL_TYPES(Gimpl) ;
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private:
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const unsigned int smearingLevels;
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Smear_Stout<Gimpl> StoutSmearing;
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std::vector<GaugeField> SmearedSet;
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// Member functions
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//====================================================================
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void fill_smearedSet(GaugeField& U){
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ThinLinks = &U; //attach the smearing routine to the field U
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//check that the pointer is not null
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if (ThinLinks==NULL)
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std::cout << GridLogError << "[SmearedConfiguration] Error in ThinLinks pointer\n";
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if (smearingLevels > 0){
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GaugeField previous_u(U._grid);
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std::cout<< GridLogDebug << "[SmearedConfiguration] Filling SmearedSet\n";
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previous_u = *ThinLinks;
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for(int smearLvl = 0; smearLvl < smearingLevels; ++smearLvl){
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StoutSmearing.smear(SmearedSet[smearLvl],previous_u);
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previous_u = SmearedSet[smearLvl];
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}
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}
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}
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//====================================================================
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GaugeField AnalyticSmearedForce(const GaugeField& SigmaKPrime,
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const GaugeField& GaugeK) const{
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GridBase *grid = GaugeK._grid;
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GaugeField C(grid), SigmaK(grid), iLambda(grid);
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GaugeLinkField iLambda_mu(grid);
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GaugeLinkField iQ(grid), e_iQ(grid);
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GaugeLinkField SigmaKPrime_mu(grid);
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GaugeLinkField GaugeKmu(grid), Cmu(grid);
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StoutSmearing.BaseSmear(C, GaugeK);
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for (int mu = 0; mu < Nd; mu++){
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Cmu = peekLorentz( C,mu);
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GaugeKmu = peekLorentz(GaugeK,mu);
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SigmaKPrime_mu = peekLorentz(SigmaKPrime,mu);
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iQ = Ta(Cmu*adj(GaugeKmu));
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set_iLambda(iLambda_mu, e_iQ, iQ, SigmaKPrime_mu, GaugeKmu);
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pokeLorentz(SigmaK, SigmaKPrime_mu*e_iQ + adj(Cmu)*iLambda_mu, mu);
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pokeLorentz(iLambda, iLambda_mu, mu);
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}
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StoutSmearing.derivative(SigmaK, iLambda, GaugeK);
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return SigmaK;
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}
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/*! @brief Returns smeared configuration at level 'Level' */
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const GaugeField& get_smeared_conf(int Level) const{
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return SmearedSet[Level];
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}
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void set_iLambda(GaugeLinkField& iLambda,
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GaugeLinkField& e_iQ,
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const GaugeLinkField& iQ,
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const GaugeLinkField& Sigmap,
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const GaugeLinkField& GaugeK)const{
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GridBase *grid = iQ._grid;
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GaugeLinkField iQ2(grid), iQ3(grid), B1(grid), B2(grid), USigmap(grid);
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GaugeLinkField unity(grid);
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unity=1.0;
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LatticeReal u(grid), w(grid);
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LatticeComplex f0(grid), f1(grid), f2(grid);
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LatticeReal xi0(grid), xi1(grid), tmp(grid);
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LatticeReal u2(grid), w2(grid), cosw(grid);
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LatticeComplex emiu(grid), e2iu(grid), qt(grid), fden(grid);
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LatticeComplex r01(grid), r11(grid), r21(grid), r02(grid), r12(grid);
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LatticeComplex r22(grid), tr1(grid), tr2(grid);
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LatticeComplex b10(grid), b11(grid), b12(grid), b20(grid), b21(grid), b22(grid);
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LatticeReal unitReal(grid);
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unitReal = 1.0;
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// Exponential
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iQ2 = iQ * iQ;
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iQ3 = iQ * iQ2;
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StoutSmearing.set_uw(u,w,iQ2,iQ3);
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StoutSmearing.set_fj(f0,f1,f2,u,w);
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e_iQ = f0*unity + timesMinusI(f1) * iQ - f2 * iQ2;
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// Getting B1, B2, Gamma and Lambda
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xi0 = StoutSmearing.func_xi0(w);
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xi1 = StoutSmearing.func_xi1(w);
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u2 = u * u;
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w2 = w * w;
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cosw = cos(w);
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emiu = toComplex(cos(u)) - timesI(toComplex(u));
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e2iu = toComplex(cos(2.0*u)) + timesI(toComplex(2.0*u));
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r01 = (toComplex(2.0*u) + timesI(toComplex(2.0*(u2-w2)))) * e2iu
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+ emiu * (toComplex(16.0*u*cosw + 2.0*u*(3.0*u2+w2)*xi0) +
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timesI(toComplex(-8.0*u2*cosw + 2.0*(9.0*u2+w2)*xi0)));
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r11 = (toComplex(2.0*unitReal) + timesI(toComplex(4.0*u)))* e2iu
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+ emiu * (toComplex(-2.0*cosw + (3.0*u2-w2)*xi0) +
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timesI(toComplex(2.0*u*cosw + 6.0*u*xi0)));
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r21 = timesI(toComplex(2.0*unitReal)) * e2iu
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+ emiu * (toComplex(-3.0*u*xi0) + timesI(toComplex(cosw - 3.0*xi0)));
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r02 = -2.0 * e2iu + emiu * (toComplex(-8.0*u2*xi0) +
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timesI(toComplex(2.0*u*(cosw + xi0 + 3.0*u2*xi1))));
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r12 = emiu * (toComplex(2.0*u*xi0) + timesI(toComplex(-cosw - xi0 + 3.0*u2*xi1)));
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r22 = emiu * (toComplex(xi0) - timesI(toComplex(3.0*u*xi1)));
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tmp = (2.0*(9.0*u2-w2)*(9.0*u2-w2));
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fden = toComplex(pow(tmp, -1.0)); // 1/tmp
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b10 = toComplex(2.0*u) * r01 + toComplex(3.0*u2 - w2)*r02 - toComplex(30.0*u2 + 2.0*w2)*f0;
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b11 = toComplex(2.0*u) * r11 + toComplex(3.0*u2 - w2)*r12 - toComplex(30.0*u2 + 2.0*w2)*f1;
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b12 = toComplex(2.0*u) * r21 + toComplex(3.0*u2 - w2)*r22 - toComplex(30.0*u2 + 2.0*w2)*f2;
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b20 = r01 - toComplex(3.0*u)*r02 - toComplex(24.0*u)*f0;
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b21 = r11 - toComplex(3.0*u)*r12 - toComplex(24.0*u)*f1;
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b22 = r21 - toComplex(3.0*u)*r22 - toComplex(24.0*u)*f2;
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b10 *= fden;
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b11 *= fden;
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b12 *= fden;
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b20 *= fden;
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b21 *= fden;
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b22 *= fden;
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B1 = b10*unity + timesMinusI(b11) * iQ - b12 * iQ2;
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B2 = b20*unity + timesMinusI(b21) * iQ - b22 * iQ2;
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USigmap = GaugeK * Sigmap;
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tr1 = trace(USigmap*B1);
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tr2 = trace(USigmap*B2);
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GaugeLinkField QUS = timesMinusI(iQ) * USigmap;
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GaugeLinkField USQ = USigmap * timesMinusI(iQ);
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GaugeLinkField iGamma = tr1 * timesMinusI(iQ) - tr2 * iQ2 +
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f1 * USigmap + f2 * QUS + f2 * USQ;
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iLambda = Ta(iGamma);
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}
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public:
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GaugeField* ThinLinks; /*!< @brief Pointer to the thin
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links configuration */
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/*! @brief Standard constructor */
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SmearedConfiguration(GridCartesian * UGrid,
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unsigned int Nsmear,
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Smear_Stout<Gimpl>& Stout):
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smearingLevels(Nsmear),
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StoutSmearing(Stout),
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ThinLinks(NULL){
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for (unsigned int i=0; i< smearingLevels; ++i)
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SmearedSet.push_back(*(new GaugeField(UGrid)));
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}
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/*! For just thin links */
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SmearedConfiguration():
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smearingLevels(0),
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StoutSmearing(),
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SmearedSet(),
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ThinLinks(NULL){}
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// attach the smeared routines to the thin links U and fill the smeared set
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void set_GaugeField(GaugeField& U){ fill_smearedSet(U);}
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void smeared_force(GaugeField& SigmaTilde) const{
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GaugeField force = SigmaTilde;//actually = U*SigmaTilde, check this for Grid
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GaugeLinkField tmp_mu(SigmaTilde._grid);
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for (int mu = 0; mu < Nd; mu++){
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tmp_mu = adj(peekLorentz(SmearedSet[smearingLevels-1], mu)) * peekLorentz(force,mu);
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pokeLorentz(force, tmp_mu, mu);
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}
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for(int ismr = smearingLevels - 1; ismr > 0; --ismr)
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force = AnalyticSmearedForce(force,get_smeared_conf(ismr-1));
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force = AnalyticSmearedForce(force,*ThinLinks);
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for (int mu = 0; mu < Nd; mu++){
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tmp_mu = peekLorentz(*ThinLinks, mu) * peekLorentz(force, mu);
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pokeLorentz(SigmaTilde, tmp_mu, mu);
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}
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}
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GaugeField& get_SmearedU(){
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return SmearedSet[smearingLevels-1];
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}
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GaugeField& get_U(bool smeared=false) {
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// get the config, thin links by default
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if (smeared){
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if (smearingLevels) return get_SmearedU();
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else return *ThinLinks;
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}
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else return *ThinLinks;
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}
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};
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}
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}
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#endif
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