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316 lines
9.4 KiB
C++
316 lines
9.4 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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{
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namespace QCD
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{
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//trivial class for no smearing
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template <class Impl>
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class NoSmearing
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{
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public:
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INHERIT_FIELD_TYPES(Impl);
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Field *ThinField;
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NoSmearing() : ThinField(NULL) {}
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void set_Field(Field &U) { ThinField = &U; }
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void smeared_force(Field &) const {}
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Field &get_SmearedU() { return *ThinField; }
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Field &get_U(bool smeared = false)
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{
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return *ThinField;
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}
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};
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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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{
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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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{
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ThinLinks = &U; // attach the smearing routine to the field U
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// check the pointer is not null
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if (ThinLinks == NULL)
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std::cout << GridLogError
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<< "[SmearedConfiguration] Error in ThinLinks pointer\n";
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if (smearingLevels > 0)
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{
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std::cout << GridLogDebug
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<< "[SmearedConfiguration] Filling SmearedSet\n";
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GaugeField previous_u(ThinLinks->_grid);
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previous_u = *ThinLinks;
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for (int smearLvl = 0; smearLvl < smearingLevels; ++smearLvl)
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{
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StoutSmearing.smear(SmearedSet[smearLvl], previous_u);
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previous_u = SmearedSet[smearLvl];
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// For debug purposes
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RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(previous_u);
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std::cout << GridLogDebug
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<< "[SmearedConfiguration] Plaq: " << impl_plaq << std::endl;
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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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{
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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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SigmaK = zero;
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iLambda = zero;
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for (int mu = 0; mu < Nd; mu++)
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{
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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,
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GaugeK); // derivative of SmearBase
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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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{
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return SmearedSet[Level];
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}
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//====================================================================
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void set_iLambda(GaugeLinkField &iLambda, GaugeLinkField &e_iQ,
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const GaugeLinkField &iQ, const GaugeLinkField &Sigmap,
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const GaugeLinkField &GaugeK) const
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{
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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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LatticeComplex u(grid), w(grid);
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LatticeComplex f0(grid), f1(grid), f2(grid);
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LatticeComplex xi0(grid), xi1(grid), tmp(grid);
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LatticeComplex 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),
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b22(grid);
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LatticeComplex LatticeUnitComplex(grid);
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LatticeUnitComplex = 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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// simplify this part, reduntant calculations in set_fj
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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 = cos(u) - timesI(sin(u));
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e2iu = cos(2.0 * u) + timesI(sin(2.0 * u));
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r01 = (2.0 * u + timesI(2.0 * (u2 - w2))) * e2iu +
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emiu * ((16.0 * u * cosw + 2.0 * u * (3.0 * u2 + w2) * xi0) +
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timesI(-8.0 * u2 * cosw + 2.0 * (9.0 * u2 + w2) * xi0));
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r11 = (2.0 * LatticeUnitComplex + timesI(4.0 * u)) * e2iu +
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emiu * ((-2.0 * cosw + (3.0 * u2 - w2) * xi0) +
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timesI((2.0 * u * cosw + 6.0 * u * xi0)));
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r21 =
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2.0 * timesI(e2iu) + emiu * (-3.0 * u * xi0 + timesI(cosw - 3.0 * xi0));
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r02 = -2.0 * e2iu +
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emiu * (-8.0 * u2 * xi0 +
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timesI(2.0 * u * (cosw + xi0 + 3.0 * u2 * xi1)));
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r12 = emiu * (2.0 * u * xi0 + timesI(-cosw - xi0 + 3.0 * u2 * xi1));
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r22 = emiu * (xi0 - timesI(3.0 * u * xi1));
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fden = LatticeUnitComplex / (2.0 * (9.0 * u2 - w2) * (9.0 * u2 - w2));
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b10 = 2.0 * u * r01 + (3.0 * u2 - w2) * r02 - (30.0 * u2 + 2.0 * w2) * f0;
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b11 = 2.0 * u * r11 + (3.0 * u2 - w2) * r12 - (30.0 * u2 + 2.0 * w2) * f1;
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b12 = 2.0 * u * r21 + (3.0 * u2 - w2) * r22 - (30.0 * u2 + 2.0 * w2) * f2;
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b20 = r01 - (3.0 * u) * r02 - (24.0 * u) * f0;
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b21 = r11 - (3.0 * u) * r12 - (24.0 * u) * f1;
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b22 = r21 - (3.0 * u) * r22 - (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 = iQ * USigmap;
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GaugeLinkField USQ = USigmap * iQ;
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GaugeLinkField iGamma = tr1 * iQ - timesI(tr2) * iQ2 +
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timesI(f1) * USigmap + f2 * QUS + f2 * USQ;
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iLambda = Ta(iGamma);
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}
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//====================================================================
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public:
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GaugeField *
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ThinLinks; /* Pointer to the thin links configuration */
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/* Standard constructor */
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SmearedConfiguration(GridCartesian *UGrid, unsigned int Nsmear,
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Smear_Stout<Gimpl> &Stout)
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: smearingLevels(Nsmear), StoutSmearing(Stout), ThinLinks(NULL)
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{
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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), StoutSmearing(), SmearedSet(), 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_Field(GaugeField &U)
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{
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double start = usecond();
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fill_smearedSet(U);
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double end = usecond();
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double time = (end - start)/ 1e3;
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std::cout << GridLogMessage << "Smearing in " << time << " ms" << std::endl;
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}
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//====================================================================
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void smeared_force(GaugeField &SigmaTilde) const
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{
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if (smearingLevels > 0)
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{
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double start = usecond();
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GaugeField force = SigmaTilde; // actually = U*SigmaTilde
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GaugeLinkField tmp_mu(SigmaTilde._grid);
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for (int mu = 0; mu < Nd; mu++)
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{
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// to get just SigmaTilde
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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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{
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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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double end = usecond();
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double time = (end - start)/ 1e3;
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std::cout << GridLogMessage << "Smearing force in " << time << " ms" << std::endl;
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} // if smearingLevels = 0 do nothing
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}
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//====================================================================
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GaugeField &get_SmearedU() { return SmearedSet[smearingLevels - 1]; }
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GaugeField &get_U(bool smeared = false)
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{
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// get the config, thin links by default
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if (smeared)
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{
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if (smearingLevels)
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{
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RealD impl_plaq =
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WilsonLoops<Gimpl>::avgPlaquette(SmearedSet[smearingLevels - 1]);
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std::cout << GridLogDebug << "getting Usmr Plaq: " << impl_plaq
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<< std::endl;
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return get_SmearedU();
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}
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else
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{
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RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(*ThinLinks);
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std::cout << GridLogDebug << "getting Thin Plaq: " << impl_plaq
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<< std::endl;
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return *ThinLinks;
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}
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}
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else
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{
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RealD impl_plaq = WilsonLoops<Gimpl>::avgPlaquette(*ThinLinks);
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std::cout << GridLogDebug << "getting Thin Plaq: " << impl_plaq
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<< std::endl;
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return *ThinLinks;
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}
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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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