portelli/Grid
1
0
Fork 0
mirror of https://github.com/paboyle/Grid.git synced 2025-11-03 21:44:33 +00:00
Code Releases Activity

Integrator works now

Browse Source
This commit is contained in:
Guido Cossu
2017-02-24 17:03:42 +00:00
parent 902afcfbaf
commit 7270c6a150
9 changed files with 528 additions and 63 deletions
Download Patch File Download Diff File Expand all files Collapse all files

10
lib/qcd/hmc/GenericHMCrunner.h
View File

@@ -138,7 +138,15 @@ class HMCWrapperTemplate: public HMCRunnerBase<ReaderClass> {
// Can move this outside?
typedef IntegratorType<SmearingPolicy> TheIntegrator;
TheIntegrator MDynamics(UGrid, Parameters.MD, TheAction, Smearing);
// Metric
//TrivialMetric<typename Implementation::Field> Mtr;
ConjugateGradient<LatticeGaugeField> CG(1.0e-8,10000);
LaplacianParams LapPar(0.0001, 1.0, 1000, 1e-8, 12, 64);
RealD Kappa = 0.9;
LaplacianAdjointField<PeriodicGimplR> Laplacian(UGrid, CG, LapPar, Kappa);
TheIntegrator MDynamics(UGrid, Parameters.MD, TheAction, Smearing, Laplacian);
if (Parameters.StartingType == "HotStart") {
// Hot start

16
lib/qcd/hmc/HMC.h
View File

@@ -202,7 +202,7 @@ class HybridMonteCarlo {
RealD H0 = TheIntegrator.S(U); // initial state action
std::streamsize current_precision = std::cout.precision();
std::cout.precision(17);
std::cout.precision(15);
std::cout << GridLogMessage << "Total H before trajectory = " << H0 << "\n";
std::cout.precision(current_precision);
@@ -210,7 +210,19 @@ class HybridMonteCarlo {
RealD H1 = TheIntegrator.S(U); // updated state action
std::cout.precision(17);
///////////////////////////////////////////////////////////
if(0){
std::cout << "------------------------- Reversibility test" << std::endl;
TheIntegrator.reverse_momenta();
TheIntegrator.integrate(U);
H1 = TheIntegrator.S(U); // updated state action
std::cout << "--------------------------------------------" << std::endl;
}
///////////////////////////////////////////////////////////
std::cout.precision(15);
std::cout << GridLogMessage << "Total H after trajectory = " << H1
<< " dH = " << H1 - H0 << "\n";
std::cout.precision(current_precision);

98
lib/qcd/hmc/integrators/Integrator.h
View File

@@ -78,7 +78,7 @@ class Integrator {
std::vector<double> t_P;
//MomentaField P;
GeneralisedMomenta<FieldImplementation, TrivialMetric<MomentaField>> P;
GeneralisedMomenta<FieldImplementation > P;
SmearingPolicy& Smearer;
RepresentationPolicy Representations;
IntegratorParameters Params;
@@ -125,9 +125,15 @@ class Integrator {
force = FieldImplementation::projectForce(force); // Ta for gauge fields
Real force_abs = std::sqrt(norm2(force)/U._grid->gSites());
std::cout << GridLogIntegrator << "Force average: " << force_abs << std::endl;
Mom -= force * ep;
Mom -= force * ep;
}
MomentaField MomDer(P.Mom._grid);
P.M.ImportGauge(U);
P.DerivativeU(P.Mom, MomDer);
Mom -= MomDer * ep;
// Force from the other representations
as[level].apply(update_P_hireps, Representations, Mom, U, ep);
}
@@ -141,7 +147,7 @@ class Integrator {
MomentaField Msum(P.Mom._grid);
Msum = zero;
for (int a = 0; a < as[level].actions.size(); ++a) {
// Compute the force
// Compute the force terms for the lagrangian part
// We need to compute the derivative of the actions
// only once
Field force(U._grid);
@@ -153,7 +159,7 @@ class Integrator {
if (as[level].actions.at(a)->is_smeared) Smearer.smeared_force(force);
force = FieldImplementation::projectForce(force); // Ta for gauge fields
Real force_abs = std::sqrt(norm2(force) / U._grid->gSites());
std::cout << GridLogIntegrator << "Force average: " << force_abs
std::cout << GridLogIntegrator << "|Force| site average: " << force_abs
<< std::endl;
Msum += force;
}
@@ -162,21 +168,44 @@ class Integrator {
MomentaField OldMom = P.Mom;
double threshold = 1e-6;
P.M.ImportGauge(U);
MomentaField MomDer(P.Mom._grid);
MomentaField MomDer1(P.Mom._grid);
MomDer1 = zero;
MomentaField diff(P.Mom._grid);
// be careful here, we need the first step
// in every trajectory
static int call = 0;
if (call == 1)
P.DerivativeU(P.Mom, MomDer1);
call = 1;
// Here run recursively
int counter = 1;
RealD RelativeError;
do {
MomentaField MomDer(P.Mom._grid);
MomentaField X(P.Mom._grid);
OldMom = NewMom;
std::cout << GridLogIntegrator << "UpdateP implicit step "<< counter << std::endl;
// Compute the derivative of the kinetic term
// with respect to the gauge field
P.DerivativeU(NewMom, MomDer);
NewMom = P.Mom - ep * (MomDer + Msum);
Real force_abs = std::sqrt(norm2(MomDer) / U._grid->gSites());
std::cout << GridLogIntegrator << "|Force| laplacian site average: " << force_abs
<< std::endl;
} while (norm2(NewMom - OldMom) > threshold);
NewMom = P.Mom - ep* 0.5 * (2.0*Msum + MomDer + MomDer1);
diff = NewMom - OldMom;
counter++;
RelativeError = std::sqrt(norm2(diff))/std::sqrt(norm2(NewMom));
std::cout << GridLogIntegrator << "UpdateP RelativeError: " << RelativeError << std::endl;
OldMom = NewMom;
} while (RelativeError > threshold);
P.Mom = NewMom;
// update the auxiliary fields momenta
// todo
}
@@ -204,19 +233,44 @@ class Integrator {
int fl = levels - 1;
std::cout << GridLogIntegrator << " " << "[" << fl << "] U " << " dt " << ep << " : t_U " << t_U << std::endl;
Real threshold = 1e-6;
P.M.ImportGauge(U);
MomentaField Mom1(P.Mom._grid);
MomentaField Mom2(P.Mom._grid);
RealD RelativeError;
Field diff(U._grid);
Real threshold = 1e-6;
int counter = 1;
int MaxCounter = 1000;
Field OldU = U;
Field NewU = U;
P.M.ImportGauge(U);
P.DerivativeP(Mom1); // first term in the derivative
do {
OldU = NewU; // some redundancy to be eliminated
std::cout << GridLogIntegrator << "UpdateU implicit step "<< counter << std::endl;
P.DerivativeP(Mom2); // second term in the derivative, on the updated U
FieldImplementation::update_field(Mom1 + Mom2, NewU, ep);
MomentaField sum = (Mom1 + Mom2);
//std::cout << GridLogMessage << "sum Norm " << norm2(sum) << std::endl;
for (int mu = 0; mu < Nd; mu++) {
auto Umu = PeekIndex<LorentzIndex>(U, mu);
auto Pmu = PeekIndex<LorentzIndex>(sum, mu);
Umu = expMat(Pmu, ep * 0.5, 12) * Umu;
PokeIndex<LorentzIndex>(NewU, ProjectOnGroup(Umu), mu);
}
diff = NewU - OldU;
RelativeError = std::sqrt(norm2(diff))/std::sqrt(norm2(NewU));
std::cout << GridLogIntegrator << "UpdateU RelativeError: " << RelativeError << std::endl;
P.M.ImportGauge(NewU);
} while (norm2(NewU - OldU) > threshold);
OldU = NewU; // some redundancy to be eliminated
counter++;
} while (RelativeError > threshold && counter < MaxCounter);
U = NewU;
}
@@ -225,10 +279,10 @@ class Integrator {
public:
Integrator(GridBase* grid, IntegratorParameters Par,
ActionSet<Field, RepresentationPolicy>& Aset,
SmearingPolicy& Sm)
SmearingPolicy& Sm, Metric<MomentaField>& M)
: Params(Par),
as(Aset),
P(grid),
P(grid, M),
levels(Aset.size()),
Smearer(Sm),
Representations(grid) {
@@ -260,6 +314,10 @@ class Integrator {
}
void reverse_momenta(){
P.Mom *= 1.0;
}
// to be used by the actionlevel class to iterate
// over the representations
struct _refresh {
@@ -278,7 +336,10 @@ class Integrator {
void refresh(Field& U, GridParallelRNG& pRNG) {
assert(P.Mom._grid == U._grid);
std::cout << GridLogIntegrator << "Integrator refresh\n";
//FieldImplementation::generate_momenta(P, pRNG);
P.M.ImportGauge(U);
P.MomentaDistribution(pRNG);
// Update the smeared fields, can be implemented as observer
@@ -325,7 +386,9 @@ class Integrator {
// Calculate action
RealD S(Field& U) { // here also U not used
RealD H = - FieldImplementation::FieldSquareNorm(P.Mom); // - trace (P*P)
//RealD H = - FieldImplementation::FieldSquareNorm(P.Mom); // - trace (P*P)
P.M.ImportGauge(U);
RealD H = - P.MomentaAction();
RealD Hterm;
std::cout << GridLogMessage << "Momentum action H_p = " << H << "\n";
@@ -369,6 +432,7 @@ class Integrator {
// and that we indeed got to the end of the trajectory
assert(fabs(t_U - Params.trajL) < 1.0e-6);
}

82
lib/qcd/hmc/integrators/Integrator_algorithm.h
View File

@@ -294,7 +294,7 @@ class ForceGradient : public Integrator<FieldImplementation, SmearingPolicy,
// correct
template <class FieldImplementation, class SmearingPolicy,
class RepresentationPolicy =
Representations<FundamentalRepresentation> >
@@ -311,9 +311,9 @@ class ImplicitLeapFrog : public Integrator<FieldImplementation, SmearingPolicy,
std::string integrator_name(){return "ImplicitLeapFrog";}
ImplicitLeapFrog(GridBase* grid, IntegratorParameters Par,
ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm)
ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
: Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
grid, Par, Aset, Sm){};
grid, Par, Aset, Sm, M){};
void step(Field& U, int level, int _first, int _last) {
int fl = this->as.size() - 1;
@@ -335,19 +335,89 @@ class ImplicitLeapFrog : public Integrator<FieldImplementation, SmearingPolicy,
}
if (level == fl) { // lowest level
this->implicit_update_U(U, eps / 2.0);
this->implicit_update_U(U, eps);
} else { // recursive function call
this->step(U, level + 1, first_step, last_step);
}
int mm = last_step ? 1 : 2;
this->update_P(U, level, mm * eps / 2.0);
//int mm = last_step ? 1 : 2;
if (last_step){
this->update_P(U, level, eps / 2.0);
} else {
this->implicit_update_P(U, level, eps);
}
}
}
};
// This is not completely tested
template <class FieldImplementation, class SmearingPolicy,
class RepresentationPolicy =
Representations<FundamentalRepresentation> >
class ImplicitMinimumNorm2 : public Integrator<FieldImplementation, SmearingPolicy,
RepresentationPolicy> {
private:
const RealD lambda = 0.1931833275037836;
public:
INHERIT_FIELD_TYPES(FieldImplementation);
ImplicitMinimumNorm2(GridBase* grid, IntegratorParameters Par,
ActionSet<Field, RepresentationPolicy>& Aset, SmearingPolicy& Sm, Metric<Field>& M)
: Integrator<FieldImplementation, SmearingPolicy, RepresentationPolicy>(
grid, Par, Aset, Sm, M){};
std::string integrator_name(){return "ImplicitMininumNorm2";}
void step(Field& U, int level, int _first, int _last) {
// level : current level
// fl : final level
// eps : current step size
int fl = this->as.size() - 1;
RealD eps = this->Params.trajL/this->Params.MDsteps * 2.0;
for (int l = 0; l <= level; ++l) eps /= 2.0 * this->as[l].multiplier;
// Nesting: 2xupdate_U of size eps/2
// Next level is eps/2/multiplier
int multiplier = this->as[level].multiplier;
for (int e = 0; e < multiplier; ++e) { // steps per step
int first_step = _first && (e == 0);
int last_step = _last && (e == multiplier - 1);
if (first_step) { // initial half step
this->implicit_update_P(U, level, lambda * eps);
}
if (level == fl) { // lowest level
this->implicit_update_U(U, 0.5 * eps);
} else { // recursive function call
this->step(U, level + 1, first_step, 0);
}
this->implicit_update_P(U, level, (1.0 - 2.0 * lambda) * eps);
if (level == fl) { // lowest level
this->implicit_update_U(U, 0.5 * eps);
} else { // recursive function call
this->step(U, level + 1, 0, last_step);
}
//int mm = (last_step) ? 1 : 2;
//this->update_P(U, level, lambda * eps * mm);
if (last_step) {
this->update_P(U, level, eps * lambda);
} else {
this->implicit_update_P(U, level, lambda * eps*2.0);
}
}
}
};

45
lib/qcd/utils/CovariantLaplacian.h
View File

@@ -77,7 +77,8 @@ template <class Impl>
class LaplacianAdjointField: public Metric<typename Impl::Field> {
OperatorFunction<typename Impl::Field> &Solver;
LaplacianParams param;
MultiShiftFunction PowerNegHalf;
MultiShiftFunction PowerHalf;
MultiShiftFunction PowerInvHalf;
public:
INHERIT_GIMPL_TYPES(Impl);
@@ -87,10 +88,15 @@ class LaplacianAdjointField: public Metric<typename Impl::Field> {
AlgRemez remez(param.lo,param.hi,param.precision);
std::cout<<GridLogMessage << "Generating degree "<<param.degree<<" for x^(1/2)"<<std::endl;
remez.generateApprox(param.degree,1,2);
PowerNegHalf.Init(remez,param.tolerance,true);
PowerHalf.Init(remez,param.tolerance,false);
PowerInvHalf.Init(remez,param.tolerance,true);
};
void Mdir(const GaugeField&, GaugeField&, int, int){ assert(0);}
void Mdiag(const GaugeField&, GaugeField&){ assert(0);}
void ImportGauge(const GaugeField& _U) {
for (int mu = 0; mu < Nd; mu++) {
U[mu] = PeekIndex<LorentzIndex>(_U, mu);
@@ -98,6 +104,11 @@ class LaplacianAdjointField: public Metric<typename Impl::Field> {
}
void M(const GaugeField& in, GaugeField& out) {
// in is an antihermitian matrix
// test
//GaugeField herm = in + adj(in);
//std::cout << "AHermiticity: " << norm2(herm) << std::endl;
GaugeLinkField tmp(in._grid);
GaugeLinkField tmp2(in._grid);
GaugeLinkField sum(in._grid);
@@ -116,17 +127,21 @@ class LaplacianAdjointField: public Metric<typename Impl::Field> {
}
}
void MDeriv(const GaugeField& in, GaugeField& der, bool dag) {
void MDeriv(const GaugeField& in, GaugeField& der) {
// in is anti-hermitian
RealD factor = -kappa / (double(4 * Nd));
for (int mu = 0; mu < Nd; mu++) {
GaugeLinkField in_mu = PeekIndex<LorentzIndex>(in, mu);
for (int mu = 0; mu < Nd; mu++){
GaugeLinkField der_mu(der._grid);
if (!dag)
der_mu =
factor * Cshift(in_mu, mu, +1) * adj(U[mu]) + adj(U[mu]) * in_mu;
else
der_mu = factor * U[mu] * Cshift(in_mu, mu, +1) + in_mu * U[mu];
}
der_mu = zero;
for (int nu = 0; nu < Nd; nu++){
GaugeLinkField in_nu = PeekIndex<LorentzIndex>(in, nu);
der_mu += U[mu] * Cshift(in_nu, mu, 1) * adj(U[mu]) * in_nu;
}
// the minus sign comes by using the in_nu instead of the
// adjoint in the last multiplication
PokeIndex<LorentzIndex>(der, -2.0 * factor * der_mu, mu);
}
}
void Minv(const GaugeField& in, GaugeField& inverted){
@@ -134,14 +149,12 @@ class LaplacianAdjointField: public Metric<typename Impl::Field> {
Solver(HermOp, in, inverted);
}
void MInvSquareRoot(GaugeField& P){
// Takes a gaussian gauge field and multiplies by the metric
// need the rational approximation for the square root
void MSquareRoot(GaugeField& P){
GaugeField Gp(P._grid);
HermitianLinearOperator<LaplacianAdjointField<Impl>,GaugeField> HermOp(*this);
ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter,PowerNegHalf);
ConjugateGradientMultiShift<GaugeField> msCG(param.MaxIter,PowerHalf);
msCG(HermOp,P,Gp);
P = Gp; // now P has the correct distribution
P = Gp;
}

59
lib/qcd/utils/Metric.h
View File

@@ -39,7 +39,8 @@ public:
virtual void ImportGauge(const Field&) = 0;
virtual void M(const Field&, Field&) = 0;
virtual void Minv(const Field&, Field&) = 0;
virtual void MInvSquareRoot(Field&) = 0;
virtual void MSquareRoot(Field&) = 0;
virtual void MDeriv(const Field&, Field&) = 0;
};
@@ -54,9 +55,12 @@ public:
virtual void Minv(const Field& in, Field& out){
out = in;
}
virtual void MInvSquareRoot(Field& P){
virtual void MSquareRoot(Field& P){
// do nothing
}
virtual void MDeriv(const Field& in, Field& out){
out = zero;
}
};
@@ -64,17 +68,17 @@ public:
// Generalised momenta
///////////////////////////////
template <typename Implementation, typename Metric>
template <typename Implementation>
class GeneralisedMomenta{
public:
typedef typename Implementation::Field MomentaField; //for readability
Metric M;
typedef typename Implementation::GaugeLinkField MomentaLinkField; //for readability
Metric<MomentaField>& M;
MomentaField Mom;
GeneralisedMomenta(GridBase* grid): Mom(grid){}
GeneralisedMomenta(GridBase* grid, Metric<MomentaField>& M): M(M), Mom(grid){}
// Correct
void MomentaDistribution(GridParallelRNG& pRNG){
// Generate a distribution for
// 1/2 P^dag G P
@@ -83,26 +87,45 @@ public:
// Generate gaussian momenta
Implementation::generate_momenta(Mom, pRNG);
// Modify the distribution with the metric
M.MInvSquareRoot(Mom);
M.MSquareRoot(Mom);
}
void Derivative(MomentaField& in, MomentaField& der){
// Correct
RealD MomentaAction(){
MomentaField inv(Mom._grid);
inv = zero;
M.Minv(Mom, inv);
LatticeComplex Hloc(Mom._grid);
Hloc = zero;
for (int mu = 0; mu < Nd; mu++) {
// This is not very general
// hide in the operators
auto Mom_mu = PeekIndex<LorentzIndex>(Mom, mu);
auto inv_mu = PeekIndex<LorentzIndex>(inv, mu);
Hloc += trace(Mom_mu * inv_mu);
}
Complex Hsum = sum(Hloc);
return Hsum.real();
}
// Correct
void DerivativeU(MomentaField& in, MomentaField& der){
// Compute the derivative of the kinetic term
// with respect to the gauge field
MomentaField MomDer(in._grid);
MomentaField MDer(in._grid);
MomentaField X(in._grid);
M.Minv(in, X); // X = G in
M.MDeriv(X, MomDer, DaggerNo); // MomDer = dM/dU X
// MomDer is just the derivative
MomDer = adj(X)* MomDer;
// Traceless Antihermitian
// assuming we are in the algebra
der = Implementation::projectForce(MomDer);
X = zero;
M.Minv(in, X); // X = G in
M.MDeriv(X, MDer); // MDer = U * dS/dU
der = Implementation::projectForce(MDer); // Ta if gauge fields
}
//
void DerivativeP(MomentaField& der){
der = zero;
M.Minv(Mom, der);
der = Implementation::projectForce(der);
}
};

178
tests/forces/Test_laplacian_force.cc Normal file
View File

@@ -0,0 +1,178 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_rect_force.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>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
#define parallel_for PARALLEL_FOR_LOOP for
int main (int argc, char ** argv)
{
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
GridCartesian Grid(latt_size,simd_layout,mpi_layout);
GridRedBlackCartesian RBGrid(latt_size,simd_layout,mpi_layout);
int threads = GridThread::GetThreads();
std::cout<<GridLogMessage << "Grid is setup to use "<<threads<<" threads"<<std::endl;
std::vector<int> seeds({1,2,3,4});
GridParallelRNG pRNG(&Grid);
pRNG.SeedRandomDevice();
LatticeGaugeField U(&Grid);
LatticeGaugeField P(&Grid);
LatticeColourMatrix P_mu(&Grid);
// Matrix in the algebra
for (int mu = 0; mu < Nd; mu++) {
SU<Nc>::GaussianFundamentalLieAlgebraMatrix(pRNG, P_mu);
PokeIndex<LorentzIndex>(P, P_mu, mu);
}
SU3::HotConfiguration(pRNG,U);
ConjugateGradient<LatticeGaugeField> CG(1.0e-8, 10000);
LaplacianParams LapPar(0.001, 1.0, 1000, 1e-8, 10, 64);
RealD Kappa = 0.99;
LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid, CG, LapPar, Kappa);
GeneralisedMomenta<PeriodicGimplR> LaplacianMomenta(&Grid, Laplacian);
LaplacianMomenta.M.ImportGauge(U);
LaplacianMomenta.MomentaDistribution(pRNG);// fills the Momenta with the correct distr
std::cout << std::setprecision(15);
std::cout << GridLogMessage << "MomentaAction" << std::endl;
ComplexD S = LaplacianMomenta.MomentaAction();
// get the deriv with respect to "U"
LatticeGaugeField UdSdU(&Grid);
std::cout << GridLogMessage<< "DerivativeU" << std::endl;
LaplacianMomenta.DerivativeU(LaplacianMomenta.Mom, UdSdU);
////////////////////////////////////
// Modify the gauge field a little
////////////////////////////////////
RealD dt = 0.001;
LatticeColourMatrix mommu(&Grid);
LatticeColourMatrix forcemu(&Grid);
LatticeGaugeField mom(&Grid);
LatticeGaugeField Uprime(&Grid);
std::cout << GridLogMessage << "Update the U " << std::endl;
for(int mu=0;mu<Nd;mu++){
// Traceless antihermitian momentum; gaussian in lie algebra
SU3::GaussianFundamentalLieAlgebraMatrix(pRNG, mommu);
auto Umu = PeekIndex<LorentzIndex>(U, mu);
PokeIndex<LorentzIndex>(mom,mommu,mu);
Umu = expMat(mommu, dt, 12) * Umu;
PokeIndex<LorentzIndex>(Uprime, ProjectOnGroup(Umu), mu);
}
std::cout << GridLogMessage << "New action " << std::endl;
LaplacianMomenta.M.ImportGauge(Uprime);
ComplexD Sprime = LaplacianMomenta.MomentaAction();
//////////////////////////////////////////////
// Use derivative to estimate dS
//////////////////////////////////////////////
LatticeComplex dS(&Grid); dS = zero;
for(int mu=0;mu<Nd;mu++){
auto UdSdUmu = PeekIndex<LorentzIndex>(UdSdU,mu);
mommu = PeekIndex<LorentzIndex>(mom,mu);
// Update gauge action density
// U = exp(p dt) U
// dU/dt = p U
// so dSdt = trace( dUdt dSdU) = trace( p UdSdUmu )
dS = dS + trace(mommu*UdSdUmu)*dt*2.0;
}
Complex dSpred = sum(dS);
std::cout << GridLogMessage << " S "<<S<<std::endl;
std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
std::cout << GridLogMessage << "pred dS "<< dSpred <<std::endl;
// P derivative
// Increment p
dt = 0.0001;
LaplacianMomenta.M.ImportGauge(U);
LatticeGaugeField UdSdP(&Grid);
LaplacianMomenta.DerivativeP(UdSdP);
LaplacianMomenta.Mom += dt*P;
Sprime = LaplacianMomenta.MomentaAction();
// Prediciton
dS = zero;
for(int mu=0;mu<Nd;mu++){
auto dSdPmu = PeekIndex<LorentzIndex>(UdSdP,mu);
auto Pmu = PeekIndex<LorentzIndex>(P,mu);
// Update gauge action density
//
// dMom/dt = P
// so dSdt = trace( dPdt dSdP) = trace( P dSdP )
dS = dS + trace(Pmu*dSdPmu)*dt*2.0;
}
dSpred = sum(dS);
std::cout << GridLogMessage << " S "<<S<<std::endl;
std::cout << GridLogMessage << " Sprime "<<Sprime<<std::endl;
std::cout << GridLogMessage << "dS "<<Sprime-S<<std::endl;
std::cout << GridLogMessage << "pred dS "<< dSpred <<std::endl;
std::cout<< GridLogMessage << "Done" <<std::endl;
Grid_finalize();
}

97
tests/hmc/Test_hmc_WilsonGauge_Implicit.cc Normal file
View File

@@ -0,0 +1,97 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_hmc_WilsonFermionGauge.cc
Copyright (C) 2015
Author: Peter Boyle <pabobyle@ph.ed.ac.uk>
Author: neo <cossu@post.kek.jp>
Author: Guido Cossu <guido.cossu@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>
int main(int argc, char **argv) {
using namespace Grid;
using namespace Grid::QCD;
Grid_init(&argc, &argv);
int threads = GridThread::GetThreads();
// here make a routine to print all the relevant information on the run
std::cout << GridLogMessage << "Grid is setup to use " << threads << " threads" << std::endl;
// Typedefs to simplify notation
typedef GenericHMCRunner<ImplicitLeapFrog> HMCWrapper; // Uses the default minimum norm
HMCWrapper TheHMC;
// Grid from the command line
TheHMC.Resources.AddFourDimGrid("gauge");
// Possibile to create the module by hand
// hardcoding parameters or using a Reader
// Checkpointer definition
CheckpointerParameters CPparams;
CPparams.config_prefix = "ckpoint_lat";
CPparams.rng_prefix = "ckpoint_rng";
CPparams.saveInterval = 20;
CPparams.format = "IEEE64BIG";
TheHMC.Resources.LoadBinaryCheckpointer(CPparams);
RNGModuleParameters RNGpar;
RNGpar.serial_seeds = "1 2 3 4 5";
RNGpar.parallel_seeds = "6 7 8 9 10 12";
TheHMC.Resources.SetRNGSeeds(RNGpar);
// Construct observables
// here there is too much indirection
PlaquetteObsParameters PlPar;
PlPar.output_prefix = "Plaquette";
PlaquetteMod<HMCWrapper::ImplPolicy> PlaqModule(PlPar);
TheHMC.Resources.AddObservable(&PlaqModule);
//////////////////////////////////////////////
/////////////////////////////////////////////////////////////
// Collect actions, here use more encapsulation
// need wrappers of the fermionic classes
// that have a complex construction
// standard
RealD beta = 5.6;
WilsonGaugeActionR Waction(beta);
ActionLevel<HMCWrapper::Field> Level1(1);
Level1.push_back(&Waction);
//Level1.push_back(WGMod.getPtr());
TheHMC.TheAction.push_back(Level1);
/////////////////////////////////////////////////////////////
// HMC parameters are serialisable
TheHMC.Parameters.MD.MDsteps = 60;
TheHMC.Parameters.MD.trajL = 1.0;
TheHMC.ReadCommandLine(argc, argv); // these can be parameters from file
TheHMC.Run(); // no smearing
Grid_finalize();
} // main

6
tests/solver/Test_laplacian.cc
View File

@@ -70,13 +70,13 @@ int main (int argc, char ** argv)
LatticeColourMatrix src_mu(&Grid);
for (int mu = 0; mu < Nd; mu++) {
SU<Nc>::GaussianFundamentalLieAlgebraMatrix(pRNG, src_mu);
PokeIndex<LorentzIndex>(src_f, src_mu, mu);
PokeIndex<LorentzIndex>(src_f, timesI(src_mu), mu);
}
LatticeGaugeField result_f(&Grid);
// Definition of the Laplacian operator
ConjugateGradient<LatticeGaugeField> CG(1.0e-8,10000);
LaplacianParams LapPar(0.001, 1.0, 1000, 1e-8, 10, 64);
LaplacianParams LapPar(0.00001, 1.0, 1000, 1e-8, 10, 64);
LaplacianAdjointField<PeriodicGimplR> Laplacian(&Grid, CG, LapPar, Kappa);
Laplacian.ImportGauge(Umu);
std::cout << GridLogMessage << "Testing the Laplacian using the full matrix" <<std::endl;
@@ -84,7 +84,7 @@ int main (int argc, char ** argv)
Laplacian.MomentaDistribution(src_f);
Laplacian.MSquareRoot(src_f);
// Tests also the version using the algebra decomposition