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Merge remote-tracking branch 'upstream/master'
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@ -117,15 +117,15 @@ namespace Grid {
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}
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Orthogonalise();
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}
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virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop) {
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virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
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RealD scale;
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ConjugateGradient<FineField> CG(1.0e-4,10000);
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ConjugateGradient<FineField> CG(2.0e-3,10000);
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FineField noise(FineGrid);
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FineField Mn(FineGrid);
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for(int b=0;b<nbasis;b++){
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for(int b=0;b<nn;b++){
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gaussian(RNG,noise);
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scale = std::pow(norm2(noise),-0.5);
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@ -133,7 +133,7 @@ namespace Grid {
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hermop.Op(noise,Mn); std::cout << "noise ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
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for(int i=0;i<2;i++){
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for(int i=0;i<1;i++){
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CG(hermop,noise,subspace[b]);
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@ -144,7 +144,8 @@ namespace Grid {
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}
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hermop.Op(noise,Mn); std::cout << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
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subspace[b] = noise;
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subspace[b] = noise;
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}
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Orthogonalise();
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@ -71,6 +71,47 @@ namespace Grid {
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}
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};
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////////////////////////////////////////////////////////////////////
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// Construct herm op and shift it for mgrid smoother
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////////////////////////////////////////////////////////////////////
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template<class Matrix,class Field>
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class ShiftedMdagMLinearOperator : public LinearOperatorBase<Field> {
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Matrix &_Mat;
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RealD _shift;
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public:
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ShiftedMdagMLinearOperator(Matrix &Mat,RealD shift): _Mat(Mat), _shift(shift){};
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// Support for coarsening to a multigrid
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void OpDiag (const Field &in, Field &out) {
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_Mat.Mdiag(in,out);
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assert(0);
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}
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void OpDir (const Field &in, Field &out,int dir,int disp) {
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_Mat.Mdir(in,out,dir,disp);
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assert(0);
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}
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void Op (const Field &in, Field &out){
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_Mat.M(in,out);
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assert(0);
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}
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void AdjOp (const Field &in, Field &out){
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_Mat.Mdag(in,out);
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assert(0);
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}
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void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
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_Mat.MdagM(in,out,n1,n2);
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out = out + _shift*in;
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ComplexD dot;
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dot= innerProduct(in,out);
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n1=real(dot);
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n2=norm2(out);
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}
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void HermOp(const Field &in, Field &out){
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RealD n1,n2;
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HermOpAndNorm(in,out,n1,n2);
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}
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};
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////////////////////////////////////////////////////////////////////
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// Wrap an already herm matrix
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////////////////////////////////////////////////////////////////////
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@ -50,6 +50,15 @@ namespace Grid {
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return;
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}
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// Convenience for plotting the approximation
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void PlotApprox(std::ostream &out) {
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out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
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for(double x=lo;x<hi;x+=(hi-lo)/50.0){
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out <<x<<"\t"<<approx(x)<<std::endl;
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}
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};
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Chebyshev(double _lo,double _hi,int _order, double (* func)(double) ){
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lo=_lo;
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hi=_hi;
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@ -95,46 +104,39 @@ namespace Grid {
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return sum;
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};
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// Convenience for plotting the approximation
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void PlotApprox(std::ostream &out) {
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out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
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for(double x=lo;x<hi;x+=(hi-lo)/50.0){
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out <<x<<"\t"<<approx(x)<<std::endl;
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}
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};
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// Implement the required interface; could require Lattice base class
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// Implement the required interface
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void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
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Field T0 = in;
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Field T1 = T0; // Field T1(T0._grid); more efficient but hardwires Lattice class
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Field T2 = T1;
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GridBase *grid=in._grid;
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int vol=grid->gSites();
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Field T0(grid); T0 = in;
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Field T1(grid);
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Field T2(grid);
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Field y(grid);
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// use a pointer trick to eliminate copies
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Field *Tnm = &T0;
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Field *Tn = &T1;
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Field *Tnp = &T2;
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Field y = in;
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std::cout << "Chebyshev ["<<lo<<","<<hi<<"]"<< " order "<<order <<std::endl;
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// Tn=T1 = (xscale M + mscale)in
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double xscale = 2.0/(hi-lo);
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double mscale = -(hi+lo)/(hi-lo);
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// Tn=T1 = (xscale M + mscale)in
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Linop.Op(T0,y);
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Linop.HermOp(T0,y);
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T1=y*xscale+in*mscale;
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// sum = .5 c[0] T0 + c[1] T1
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out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
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for(int n=2;n<order;n++){
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Linop.Op(*Tn,y);
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Linop.HermOp(*Tn,y);
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y=xscale*y+mscale*(*Tn);
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*Tnp=2.0*y-(*Tnm);
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out=out+Coeffs[n]* (*Tnp);
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// Cycle pointers to avoid copies
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@ -15,7 +15,7 @@
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#ifndef INCLUDED_ALG_REMEZ_H
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#define INCLUDED_ALG_REMEZ_H
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#include <algorithms/approx/bigfloat_double.h>
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#include <algorithms/approx/bigfloat.h>
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#define JMAX 10000 //Maximum number of iterations of Newton's approximation
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#define SUM_MAX 10 // Maximum number of terms in exponential
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@ -15,7 +15,7 @@ public:
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Integer MaxIterations;
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int verbose;
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ConjugateGradient(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) {
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verbose=1;
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verbose=0;
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};
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@ -137,7 +137,7 @@ namespace Grid {
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cp = axpy_norm(r,-a,q[peri_k],r);
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std::cout<< " VPCG_step resid" <<sqrt(cp/rsq)<<std::endl;
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std::cout<< " VPGCR_step resid" <<sqrt(cp/rsq)<<std::endl;
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if((k==nstep-1)||(cp<rsq)){
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return cp;
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}
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@ -1,5 +1,4 @@
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#include <Grid.h>
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namespace Grid {
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namespace QCD {
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@ -13,7 +12,6 @@ void DiracOptDhopSite(CartesianStencil &st,LatticeDoubledGaugeField &U,
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vHalfSpinColourVector Uchi;
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int offset,local,perm, ptype;
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// Xp
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int ss = sF;
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offset = st._offsets [Xp][ss];
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@ -1,7 +1,9 @@
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#ifndef G5_HERMITIAN_LINOP
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#define G5_HERMITIAN_LINOP
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namespace Grid {
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namespace QCD {
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////////////////////////////////////////////////////////////////////
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// Wrap an already herm matrix
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////////////////////////////////////////////////////////////////////
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@ -18,7 +18,7 @@ namespace Grid{
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Pmu = zero;
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for(int mu=0;mu<Nd;mu++){
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SU3::GaussianLieAlgebraMatrix(pRNG, Pmu);
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pokeLorentz(P, Pmu, mu);
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PokeIndex<LorentzIndex>(P, Pmu, mu);
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}
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}
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@ -77,10 +77,10 @@ namespace Grid{
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LatticeColourMatrix Umu(U._grid);
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LatticeColourMatrix Pmu(U._grid);
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for (int mu = 0; mu < Nd; mu++){
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Umu=peekLorentz(U, mu);
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Pmu=peekLorentz(*P, mu);
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Umu=PeekIndex<LorentzIndex>(U, mu);
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Pmu=PeekIndex<LorentzIndex>(*P, mu);
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Umu = expMat(Pmu, ep, Params.Nexp)*Umu;
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pokeLorentz(U, Umu, mu);
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PokeIndex<LorentzIndex>(U, Umu, mu);
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}
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}
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212
lib/qcd/hmc/integrators/Integrator_base.h
Normal file
212
lib/qcd/hmc/integrators/Integrator_base.h
Normal file
@ -0,0 +1,212 @@
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//--------------------------------------------------------------------
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/*! @file Integrator_base.h
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* @brief Declaration of classes for the abstract Molecular Dynamics integrator
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*
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* @author Guido Cossu
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*/
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//--------------------------------------------------------------------
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#ifndef INTEGRATOR_INCLUDED
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#define INTEGRATOR_INCLUDED
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#include <memory>
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class Observer;
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/*! @brief Abstract base class for Molecular Dynamics management */
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namespace Grid{
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namespace QCD{
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typedef Action<LatticeLorentzColourMatrix>* ActPtr; // now force the same size as the rest of the code
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typedef std::vector<ActPtr> ActionLevel;
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typedef std::vector<ActionLevel> ActionSet;
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typedef std::vector<Observer*> ObserverList;
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class LeapFrog;
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struct IntegratorParameters{
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int Nexp;
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int MDsteps; // number of outer steps
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RealD trajL; // trajectory length
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RealD stepsize;
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IntegratorParameters(int Nexp_,
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int MDsteps_,
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RealD trajL_):
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Nexp(Nexp_),MDsteps(MDsteps_),trajL(trajL_),stepsize(trajL/MDsteps){};
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};
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namespace MDutils{
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void generate_momenta(LatticeLorentzColourMatrix&,GridParallelRNG&);
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void generate_momenta_su3(LatticeLorentzColourMatrix&,GridParallelRNG&);
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}
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template< class IntegratorPolicy >
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class Integrator{
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private:
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IntegratorParameters Params;
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const ActionSet as;
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const std::vector<int> Nrel; //relative step size per level
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//ObserverList observers; // not yet
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std::unique_ptr<LatticeLorentzColourMatrix> P;
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IntegratorPolicy TheIntegrator;// contains parameters too
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void update_P(LatticeLorentzColourMatrix&U, int level,double ep){
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for(int a=0; a<as[level].size(); ++a){
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LatticeLorentzColourMatrix force(U._grid);
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as[level].at(a)->deriv(U,force);
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*P -= force*ep;
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}
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}
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void update_U(LatticeLorentzColourMatrix&U, double ep){
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//rewrite exponential to deal with the lorentz index?
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LatticeColourMatrix Umu(U._grid);
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LatticeColourMatrix Pmu(U._grid);
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for (int mu = 0; mu < Nd; mu++){
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Umu=PeekIndex<LorentzIndex>(U, mu);
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Pmu=PeekIndex<LorentzIndex>(*P, mu);
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Umu = expMat(Pmu, Complex(ep, 0.0))*Umu;
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}
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}
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void register_observers();
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void notify_observers();
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friend void IntegratorPolicy::step (LatticeLorentzColourMatrix& U,
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int level, std::vector<int>& clock,
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Integrator<LeapFrog>* Integ);
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public:
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Integrator(IntegratorParameters Par,
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ActionSet& Aset, std::vector<int> Nrel_):
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Params(Par),as(Aset),Nrel(Nrel_){
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assert(as.size() == Nrel.size());
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};
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~Integrator(){}
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//Initialization of momenta and actions
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void init(LatticeLorentzColourMatrix& U,
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GridParallelRNG& pRNG){
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std::cout<< "Integrator init\n";
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if (!P)
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P = new LatticeLorentzColourMatrix(U._grid);
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MDutils::generate_momenta(*P,pRNG);
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for(int level=0; level< as.size(); ++level){
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for(int actionID=0; actionID<as.at(level).size(); ++actionID){
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as[level].at(actionID)->init(U, pRNG);
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}
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}
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}
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RealD S(LatticeLorentzColourMatrix& U){
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// Momenta
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LatticeComplex Hloc = - trace((*P)*adj(*P));
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Complex Hsum = sum(Hloc);
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RealD H = Hsum.real();
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// Actions
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for(int level=0; level<as.size(); ++level)
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for(int actionID=0; actionID<as.at(level).size(); ++actionID)
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H += as[level].at(actionID)->S(U);
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return H;
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}
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void integrate(LatticeLorentzColourMatrix& U, int level){
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std::vector<int> clock;
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clock.resize(as.size(),0);
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for(int step=0; step< Params.MDsteps; ++step) // MD step
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TheIntegrator.step(U,0,clock, *(this));
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}
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};
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class MinimumNorm2{
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const double lambda = 0.1931833275037836;
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public:
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void step (LatticeLorentzColourMatrix& U, int level, std::vector<int>& clock);
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};
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class LeapFrog{
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public:
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void step (LatticeLorentzColourMatrix& U,
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int level, std::vector<int>& clock,
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Integrator<LeapFrog>* Integ){
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// cl : current level
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// fl : final level
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// eps : current step size
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int fl = Integ->as.size() -1;
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double eps = Integ->Params.stepsize;
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// Get current level step size
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for(int l=0; l<=level; ++l) eps/= Integ->Nrel[l];
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int fin = 1;
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for(int l=0; l<=level; ++l) fin*= Integ->Nrel[l];
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fin = 2*Integ->Params.MDsteps*fin - 1;
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for(int e=0; e<Integ->Nrel[level]; ++e){
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if(clock[level] == 0){ // initial half step
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Integ->update_P(U, level,eps/2);
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++clock[level];
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}
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if(level == fl){ // lowest level
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Integ->update_U(U, eps);
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"U "<< 0.5*(clock[level]+1) <<std::endl;
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}else{ // recursive function call
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step(U, level+1,clock, Integ);
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}
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if(clock[level] == fin){ // final half step
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Integ->update_P(U, level,eps/2);
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++clock[level];
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}else{ // bulk step
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Integ->update_P(U, level,eps);
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clock[level]+=2;
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for(int l=0; l<level;++l) std::cout<<" ";
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std::cout<<"P "<< 0.5*clock[level] <<std::endl;
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}
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}
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||||
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||||
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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//INTEGRATOR_INCLUDED
|
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