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Patches for beginnings of an overlap multigrid
This commit is contained in:
Peter Boyle
parent
2534199ee7
commit
aba5c8595a
@ -3,7 +3,6 @@
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#include <algorithms/SparseMatrix.h>
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#include <algorithms/LinearOperator.h>
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#include <algorithms/CoarsenedMatrix.h>
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#include <algorithms/approx/Zolotarev.h>
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#include <algorithms/approx/Chebyshev.h>
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@ -17,6 +16,9 @@
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#include <algorithms/iterative/ConjugateGradientMultiShift.h>
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#include <algorithms/CoarsenedMatrix.h>
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// Eigen/lanczos
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// EigCg
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// MCR
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@ -12,9 +12,6 @@ namespace Grid {
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std::vector<int> directions ;
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std::vector<int> displacements;
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// FIXME -- don't like xposing the operator directions
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// as different to the geometrical dirs
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// Also don't like special casing five dim.. should pass an object in template
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Geometry(int _d) {
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int base = (_d==5) ? 1:0;
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@ -64,6 +61,99 @@ namespace Grid {
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};
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template<class Fobj,class CComplex,int nbasis>
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class Aggregation {
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public:
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typedef iVector<CComplex,nbasis > siteVector;
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typedef Lattice<siteVector> CoarseVector;
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typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
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typedef Lattice< CComplex > CoarseScalar; // used for inner products on fine field
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typedef Lattice<Fobj > FineField;
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GridBase *CoarseGrid;
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GridBase *FineGrid;
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std::vector<Lattice<Fobj> > subspace;
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Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid) :
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CoarseGrid(_CoarseGrid),
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FineGrid(_FineGrid),
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subspace(nbasis,_FineGrid)
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{
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};
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void Orthogonalise(void){
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CoarseScalar InnerProd(CoarseGrid);
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blockOrthogonalise(InnerProd,subspace);
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#if 1
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// CheckOrthogonal();
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#endif
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}
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void CheckOrthogonal(void){
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CoarseVector iProj(CoarseGrid);
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CoarseVector eProj(CoarseGrid);
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Lattice<CComplex> pokey(CoarseGrid);
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for(int i=0;i<nbasis;i++){
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blockProject(iProj,subspace[i],subspace);
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eProj=zero;
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for(int ss=0;ss<CoarseGrid->oSites();ss++){
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eProj._odata[ss](i)=CComplex(1.0);
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}
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eProj=eProj - iProj;
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std::cout<<"Orthog check error "<<i<<" " << norm2(eProj)<<std::endl;
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}
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std::cout <<"CheckOrthog done"<<std::endl;
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}
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void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
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blockProject(CoarseVec,FineVec,subspace);
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}
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void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
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blockPromote(CoarseVec,FineVec,subspace);
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}
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void CreateSubspaceRandom(GridParallelRNG &RNG){
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for(int i=0;i<nbasis;i++){
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random(RNG,subspace[i]);
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std::cout<<" norm subspace["<<i<<"] "<<norm2(subspace[i])<<std::endl;
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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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RealD scale;
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ConjugateGradient<FineField> CG(1.0e-4,10000);
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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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gaussian(RNG,noise);
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scale = std::pow(norm2(noise),-0.5);
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noise=noise*scale;
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hermop.Op(noise,Mn); std::cout << "Noise "<<b<<" nMdagMn "<<norm2(Mn)<< " "<< norm2(noise)<<std::endl;
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for(int i=0;i<2;i++){
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CG(hermop,noise,subspace[b]);
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noise = subspace[b];
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scale = std::pow(norm2(noise),-0.5);
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noise=noise*scale;
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}
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hermop.Op(noise,Mn); std::cout << "filtered "<<b<<" <s|MdagM|s> "<<norm2(Mn)<< " "<< norm2(noise)<<std::endl;
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subspace[b] = noise;
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}
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Orthogonalise();
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}
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};
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// Fine Object == (per site) type of fine field
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// nbasis == number of deflation vectors
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template<class Fobj,class CComplex,int nbasis>
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@ -145,7 +235,8 @@ namespace Grid {
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comm_buf.resize(Stencil._unified_buffer_size);
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};
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void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,std::vector<Lattice<Fobj> > & subspace){
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void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
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Aggregation<Fobj,CComplex,nbasis> & Subspace){
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FineField iblock(FineGrid); // contributions from within this block
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FineField oblock(FineGrid); // contributions from outwith this block
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@ -162,8 +253,11 @@ namespace Grid {
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CoarseScalar InnerProd(Grid());
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// Orthogonalise the subblocks over the basis
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blockOrthogonalise(InnerProd,subspace);
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blockProject(iProj,subspace[0],subspace);
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blockOrthogonalise(InnerProd,Subspace.subspace);
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//Subspace.Orthogonalise();
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// Subspace.CheckOrthogonal();
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//Subspace.Orthogonalise();
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// Subspace.CheckOrthogonal();
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// Compute the matrix elements of linop between this orthonormal
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// set of vectors.
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@ -177,7 +271,7 @@ namespace Grid {
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assert(self_stencil!=-1);
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for(int i=0;i<nbasis;i++){
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phi=subspace[i];
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phi=Subspace.subspace[i];
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for(int p=0;p<geom.npoint;p++){
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int dir = geom.directions[p];
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@ -210,8 +304,10 @@ namespace Grid {
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assert(0);
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}
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blockProject(iProj,iblock,subspace);
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blockProject(oProj,oblock,subspace);
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Subspace.ProjectToSubspace(iProj,iblock);
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Subspace.ProjectToSubspace(oProj,oblock);
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// blockProject(iProj,iblock,Subspace.subspace);
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// blockProject(oProj,oblock,Subspace.subspace);
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for(int ss=0;ss<Grid()->oSites();ss++){
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for(int j=0;j<nbasis;j++){
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if( disp!= 0 ) {
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@ -234,19 +330,19 @@ namespace Grid {
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}
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std::cout<< " picking by block0 "<< self_stencil <<std::endl;
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phi=subspace[0];
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phi=Subspace.subspace[0];
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std::vector<int> bc(FineGrid->_ndimension,0);
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blockPick(Grid(),phi,tmp,bc); // Pick out a block
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linop.Op(tmp,Mphi); // Apply big dop
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blockProject(iProj,Mphi,subspace); // project it and print it
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blockProject(iProj,Mphi,Subspace.subspace); // project it and print it
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std::cout<< " Computed matrix elements from block zero only "<<std::endl;
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std::cout<< iProj <<std::endl;
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std::cout<<"Computed Coarse Operator"<<std::endl;
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#endif
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// AssertHermitian();
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// ForceHermitian();
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// ForceDiagonal();
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AssertHermitian();
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// ForceDiagonal();
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}
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void ForceDiagonal(void) {
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@ -263,7 +359,7 @@ namespace Grid {
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Complex one(1.0);
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iMatrix<Complex,nbasis> ident; ident=one;
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iMatrix<CComplex,nbasis> ident; ident=one;
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val = val*adj(val);
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val = val + 1.0;
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@ -279,7 +375,7 @@ namespace Grid {
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int dd=d+1;
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A[2*d] = adj(Cshift(A[2*d+1],dd,1));
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}
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A[8] = 0.5*(A[8] + adj(A[8]));
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// A[8] = 0.5*(A[8] + adj(A[8]));
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}
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void AssertHermitian(void) {
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CoarseMatrix AA (Grid());
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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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@ -58,7 +58,7 @@ public:
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return;
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}
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std::cout << std::setprecision(4)<< "ConjugateGradient: k=0 residual "<<cp<<" rsq"<<rsq<<std::endl;
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if(verbose) std::cout << std::setprecision(4)<< "ConjugateGradient: k=0 residual "<<cp<<" rsq"<<rsq<<std::endl;
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int k;
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for (k=1;k<=MaxIterations;k++){
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@ -69,23 +69,29 @@ public:
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RealD qqck = norm2(mmp);
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ComplexD dck = innerProduct(p,mmp);
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// if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: d,qq "<<d<< " "<<qq <<" qqcheck "<< qqck<< " dck "<< dck<<std::endl;
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if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: d,qq "<<d<< " "<<qq <<" qqcheck "<< qqck<< " dck "<< dck<<std::endl;
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a = c/d;
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b_pred = a*(a*qq-d)/c;
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// if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: a,bp "<<a<< " "<<b_pred <<std::endl;
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if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: a,bp "<<a<< " "<<b_pred <<std::endl;
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cp = axpy_norm(r,-a,mmp,r);
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b = cp/c;
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// std::cout <<std::setprecision(4)<< "ConjugateGradient: cp,b "<<cp<< " "<<b <<std::endl;
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if (verbose) std::cout <<std::setprecision(4)<< "ConjugateGradient: cp,b "<<cp<< " "<<b <<std::endl;
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// Fuse these loops ; should be really easy
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psi= a*p+psi;
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p = p*b+r;
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if (verbose) std::cout<<"ConjugateGradient: Iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
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if (0) {
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Field tmp(src._grid);
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Linop.HermOpAndNorm(psi,tmp,qqck,qqck);
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tmp=tmp-src;
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std::cout<<"ConjugateGradient: true residual is "<< norm2(tmp);
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}
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// Stopping condition
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if ( cp <= rsq ) {
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@ -98,9 +104,10 @@ public:
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RealD resnorm = sqrt(norm2(p));
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RealD true_residual = resnorm/srcnorm;
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std::cout<<"ConjugateGradient: Converged on iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
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std::cout<<"ConjugateGradient: true residual is "<<true_residual<<" sol "<<psinorm<<" src "<<srcnorm<<std::endl;
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std::cout<<"ConjugateGradient: target residual was "<<Tolerance<<std::endl;
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std::cout<<"ConjugateGradient: Converged on iteration " <<k
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<<" computed residual "<<sqrt(cp/ssq)
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<<" true residual "<<true_residual
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<<" target "<<Tolerance<<std::endl;
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return;
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}
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}
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@ -16,7 +16,7 @@ namespace Grid {
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int verbose;
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ConjugateResidual(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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void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
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@ -37,8 +37,8 @@ namespace Grid {
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Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
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Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
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std::cout << "pAp, pAAp"<< pAp<<" "<<pAAp<<std::endl;
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std::cout << "rAr, rAAr"<< rAr<<" "<<rAAr<<std::endl;
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if(verbose) std::cout << "pAp, pAAp"<< pAp<<" "<<pAAp<<std::endl;
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if(verbose) std::cout << "rAr, rAAr"<< rAr<<" "<<rAAr<<std::endl;
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cp =norm2(r);
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ssq=norm2(src);
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@ -63,15 +63,16 @@ namespace Grid {
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axpy(p,b,p,r);
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pAAp=axpy_norm(Ap,b,Ap,Ar);
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std::cout<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
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if(verbose) std::cout<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
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if(cp<rsq) {
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Linop.HermOp(psi,Ap);
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axpy(r,-1.0,src,Ap);
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RealD true_resid = norm2(r);
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std::cout<<"ConjugateResidual: Converged on iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
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std::cout<<"ConjugateResidual: true residual is "<<true_resid<<std::endl;
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std::cout<<"ConjugateResidual: target residual was "<<Tolerance <<std::endl;
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std::cout<<"ConjugateResidual: Converged on iteration " <<k
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<< " computed residual "<<sqrt(cp/ssq)
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<< " true residual "<<true_resid
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<< " target " <<Tolerance <<std::endl;
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return;
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}
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@ -296,7 +296,7 @@ GRID_DEF_UNOP(toReal,UnaryToReal);
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GRID_DEF_UNOP(toComplex,UnaryToComplex);
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GRID_DEF_UNOP(abs ,UnaryAbs); //abs overloaded in cmath C++98; DON'T do the abs-fabs-dabs-labs thing
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GRID_DEF_UNOP(sqrt ,UnarySqrt);
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GRID_DEF_UNOP(rsqrt,UnarySqrt);
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GRID_DEF_UNOP(rsqrt,UnaryRsqrt);
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GRID_DEF_UNOP(sin ,UnarySin);
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GRID_DEF_UNOP(cos ,UnaryCos);
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GRID_DEF_UNOP(log ,UnaryLog);
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@ -168,7 +168,7 @@ inline void blockNormalise(Lattice<CComplex> &ip,Lattice<vobj> &fineX)
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GridBase *coarse = ip._grid;
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Lattice<vobj> zz(fineX._grid); zz=zero;
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blockInnerProduct(ip,fineX,fineX);
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ip = rsqrt(ip);
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ip = pow(ip,-0.5);
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blockZAXPY(fineX,ip,fineX,zz);
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}
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// useful in multigrid project;
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@ -522,22 +522,66 @@ Note that in step D setting B ~ X - A and using B in place of A in step E will g
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}
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// reunitarise??
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static void LieRandomize(GridParallelRNG &pRNG,LatticeMatrix &out,double scale=1.0){
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GridBase *grid = out._grid;
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LatticeComplex ca (grid);
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LatticeMatrix lie(grid);
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LatticeMatrix la (grid);
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Complex ci(0.0,scale);
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Matrix ta;
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lie=zero;
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for(int a=0;a<generators();a++){
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random(pRNG,ca); ca=real(ca)-0.5;
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generator(a,ta);
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la=ci*ca*ta;
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lie = lie+la; // e^{i la ta}
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}
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taExp(lie,out);
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}
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static void HotConfiguration(GridParallelRNG &pRNG,LatticeGaugeField &out){
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LatticeMatrix Umu(out._grid);
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for(int mu=0;mu<Nd;mu++){
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LieRandomize(pRNG,Umu,1.0);
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pokeLorentz(out,Umu,mu);
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}
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}
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static void TepidConfiguration(GridParallelRNG &pRNG,LatticeGaugeField &out){
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LatticeMatrix Umu(out._grid);
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for(int mu=0;mu<Nd;mu++){
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LieRandomize(pRNG,Umu,0.01);
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pokeLorentz(out,Umu,mu);
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}
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}
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static void ColdConfiguration(GridParallelRNG &pRNG,LatticeGaugeField &out){
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LatticeMatrix Umu(out._grid);
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Umu=1.0;
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for(int mu=0;mu<Nd;mu++){
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pokeLorentz(out,Umu,mu);
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}
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}
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static void taProj( const LatticeMatrix &in, LatticeMatrix &out){
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out = Ta(in);
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}
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static void taExp( const LatticeMatrix &x, LatticeMatrix &ex){
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LatticeMatrix xn = x;
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LatticeMatrix xn(x._grid);
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RealD nfac = 1.0;
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ex = 1+x; // 1+x
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xn = x;
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ex =xn+Complex(1.0); // 1+x
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// Do a 12th order exponentiation
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for(int i= 2; i <= 12; ++i)
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for(int i=2; i <= 12; ++i)
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{
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nfac = nfac/i;
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nfac = nfac/RealD(i); //1/2, 1/2.3 ...
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xn = xn * x; // x2, x3,x4....
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ex += xn*nfac;// x2/2!, x3/3!....
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ex = ex+ xn*nfac;// x2/2!, x3/3!....
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}
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}
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@ -83,20 +83,27 @@ int main (int argc, char ** argv)
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std::cout<<"Error "<<norm2(err)<<std::endl;
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const int nbasis = 2;
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std::vector<LatticeFermion> subspace(nbasis,FGrid);
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LatticeFermion prom(FGrid);
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for(int b=0;b<nbasis;b++){
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random(RNG5,subspace[b]);
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}
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std::cout << "Computed randoms"<< std::endl;
|
||||
std::vector<LatticeFermion> subspace(nbasis,FGrid);
|
||||
|
||||
std::cout<<"Calling Aggregation class" <<std::endl;
|
||||
|
||||
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace Aggregates(Coarse5d,FGrid);
|
||||
Aggregates.CreateSubspaceRandom(RNG5);
|
||||
|
||||
subspace=Aggregates.subspace;
|
||||
|
||||
std::cout << "Called aggregation class"<< std::endl;
|
||||
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
LittleDiracOperator LittleDiracOp(*Coarse5d);
|
||||
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,subspace);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
|
||||
@ -1,4 +1,6 @@
|
||||
#include <Grid.h>
|
||||
#include <qcd/utils/WilsonLoops.h>
|
||||
#include <qcd/utils/SUn.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
@ -59,67 +61,84 @@ int main (int argc, char ** argv)
|
||||
LatticeFermion ref(FGrid); ref=zero;
|
||||
LatticeFermion tmp(FGrid);
|
||||
LatticeFermion err(FGrid);
|
||||
LatticeGaugeField Umu(UGrid); gaussian(RNG4,Umu);
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
|
||||
|
||||
|
||||
//gaussian(RNG4,Umu);
|
||||
//random(RNG4,Umu);
|
||||
|
||||
NerscField header;
|
||||
std::string file("./ckpoint_lat.400");
|
||||
readNerscConfiguration(Umu,header,file);
|
||||
// SU3::ColdConfiguration(RNG4,Umu);
|
||||
// SU3::TepidConfiguration(RNG4,Umu);
|
||||
// SU3::HotConfiguration(RNG4,Umu);
|
||||
// Umu=zero;
|
||||
|
||||
#if 0
|
||||
LatticeColourMatrix U(UGrid);
|
||||
U=zero;
|
||||
for(int nn=0;nn<Nd;nn++){
|
||||
if (nn>2) {
|
||||
pokeIndex<LorentzIndex>(Umu,U,nn);
|
||||
}
|
||||
U=peekIndex<LorentzIndex>(Umu,nn);
|
||||
U=U*adj(U)-1.0;
|
||||
std::cout<<"SU3 test "<<norm2(U)<<std::endl;
|
||||
}
|
||||
#endif
|
||||
RealD mass=0.1;
|
||||
RealD M5=1.0;
|
||||
RealD M5=1.5;
|
||||
|
||||
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
|
||||
|
||||
const int nbasis = 8;
|
||||
|
||||
#if 0
|
||||
std::vector<LatticeFermion> subspace(nbasis,FGrid);
|
||||
LatticeFermion noise(FGrid);
|
||||
LatticeFermion ms(FGrid);
|
||||
for(int b=0;b<nbasis;b++){
|
||||
Gamma g5(Gamma::Gamma5);
|
||||
|
||||
gaussian(RNG5,noise);
|
||||
RealD scale = pow(norm2(noise),-0.5);
|
||||
noise=noise*scale;
|
||||
|
||||
HermIndefOp.HermOp(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
|
||||
HermIndefOp.Op(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
|
||||
// filter(HermIndefOp,noise,subspace[b]);
|
||||
// inverse iteration
|
||||
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-5,10000);
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-4,10000);
|
||||
|
||||
for(int i=0;i<4;i++){
|
||||
for(int i=0;i<1;i++){
|
||||
|
||||
CG(HermDefOp,noise,subspace[b]);
|
||||
noise = subspace[b];
|
||||
|
||||
scale = pow(norm2(noise),-0.5);
|
||||
noise=noise*scale;
|
||||
HermDefOp.HermOp(noise,ms); std::cout << "filt "<<b<<" <u|H|u> "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
HermDefOp.Op(noise,ms); std::cout << "filt "<<b<<" <u|H|u> "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
}
|
||||
|
||||
subspace[b] = noise;
|
||||
HermIndefOp.HermOp(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
|
||||
HermIndefOp.Op(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
|
||||
|
||||
}
|
||||
std::cout << "Computed randoms"<< std::endl;
|
||||
#else
|
||||
std::cout<<"Calling Aggregation class" <<std::endl;
|
||||
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace Aggregates(Coarse5d,FGrid);
|
||||
Aggregates.CreateSubspace(RNG5,HermDefOp);
|
||||
std::cout << "Called aggregation class"<< std::endl;
|
||||
#endif
|
||||
|
||||
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
LittleDiracOperator LittleDiracOp(*Coarse5d);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,subspace);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
@ -128,7 +147,7 @@ int main (int argc, char ** argv)
|
||||
|
||||
std::cout << "Solving CG on coarse space "<< std::endl;
|
||||
MdagMLinearOperator<LittleDiracOperator,CoarseVector> PosdefLdop(LittleDiracOp);
|
||||
ConjugateGradient<CoarseVector> CG(1.0e-8,10000);
|
||||
ConjugateGradient<CoarseVector> CG(1.0e-6,10000);
|
||||
CG(PosdefLdop,c_src,c_res);
|
||||
|
||||
std::cout << "Done "<< std::endl;
|
||||
|
||||
@ -1,4 +1,6 @@
|
||||
#include <Grid.h>
|
||||
#include <qcd/utils/WilsonLoops.h>
|
||||
#include <qcd/utils/SUn.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
@ -59,67 +61,100 @@ int main (int argc, char ** argv)
|
||||
LatticeFermion ref(FGrid); ref=zero;
|
||||
LatticeFermion tmp(FGrid);
|
||||
LatticeFermion err(FGrid);
|
||||
LatticeGaugeField Umu(UGrid); gaussian(RNG4,Umu);
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
|
||||
|
||||
|
||||
//gaussian(RNG4,Umu);
|
||||
//random(RNG4,Umu);
|
||||
NerscField header;
|
||||
std::string file("./ckpoint_lat.4000");
|
||||
readNerscConfiguration(Umu,header,file);
|
||||
|
||||
RealD mass=0.01;
|
||||
RealD M5=1.8;
|
||||
NerscField header;
|
||||
std::string file("./ckpoint_lat.400");
|
||||
readNerscConfiguration(Umu,header,file);
|
||||
// SU3::ColdConfiguration(RNG4,Umu);
|
||||
// SU3::TepidConfiguration(RNG4,Umu);
|
||||
// SU3::HotConfiguration(RNG4,Umu);
|
||||
// Umu=zero;
|
||||
|
||||
#if 0
|
||||
LatticeColourMatrix U(UGrid);
|
||||
for(int nn=0;nn<Nd;nn++){
|
||||
U=peekIndex<LorentzIndex>(Umu,nn);
|
||||
U=U*adj(U)-1.0;
|
||||
std::cout<<"SU3 test "<<norm2(U)<<std::endl;
|
||||
}
|
||||
#endif
|
||||
RealD mass=0.1;
|
||||
RealD M5=1.5;
|
||||
|
||||
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
|
||||
|
||||
const int nbasis = 8;
|
||||
|
||||
#if 0
|
||||
std::vector<LatticeFermion> subspace(nbasis,FGrid);
|
||||
LatticeFermion noise(FGrid);
|
||||
LatticeFermion ms(FGrid);
|
||||
for(int b=0;b<nbasis;b++){
|
||||
Gamma g5(Gamma::Gamma5);
|
||||
|
||||
gaussian(RNG5,noise);
|
||||
RealD scale = pow(norm2(noise),-0.5);
|
||||
noise=noise*scale;
|
||||
|
||||
HermIndefOp.HermOp(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
|
||||
HermIndefOp.Op(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
|
||||
// filter(HermIndefOp,noise,subspace[b]);
|
||||
// inverse iteration
|
||||
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
||||
ConjugateGradient<LatticeFermion> CG(1.0e-4,10000);
|
||||
|
||||
for(int i=0;i<4;i++){
|
||||
for(int i=0;i<1;i++){
|
||||
|
||||
CG(HermDefOp,noise,subspace[b]);
|
||||
noise = subspace[b];
|
||||
|
||||
scale = pow(norm2(noise),-0.5);
|
||||
noise=noise*scale;
|
||||
HermDefOp.HermOp(noise,ms); std::cout << "filt "<<b<<" <u|H|u> "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
HermDefOp.Op(noise,ms); std::cout << "filt "<<b<<" <u|H|u> "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
}
|
||||
|
||||
subspace[b] = noise;
|
||||
HermIndefOp.HermOp(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
|
||||
HermIndefOp.Op(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
|
||||
|
||||
}
|
||||
std::cout << "Computed randoms"<< std::endl;
|
||||
#else
|
||||
std::cout<<"Calling Aggregation class" <<std::endl;
|
||||
MdagMLinearOperator<DomainWallFermion,LatticeFermion> HermDefOp(Ddwf);
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace Aggregates(Coarse5d,FGrid);
|
||||
Aggregates.CreateSubspace(RNG5,HermDefOp);
|
||||
std::cout << "Called aggregation class"<< std::endl;
|
||||
#endif
|
||||
|
||||
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
LittleDiracOperator LittleDiracOp(*Coarse5d);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,subspace);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,Aggregates);
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
gaussian(CRNG,c_src);
|
||||
c_res=zero;
|
||||
|
||||
|
||||
std::cout << "Solving CG on coarse space "<< std::endl;
|
||||
MdagMLinearOperator<LittleDiracOperator,CoarseVector> PosdefLdop(LittleDiracOp);
|
||||
ConjugateGradient<CoarseVector> CG(1.0e-6,10000);
|
||||
CG(PosdefLdop,c_src,c_res);
|
||||
|
||||
|
||||
std::cout << "Solving MCR on coarse space "<< std::endl;
|
||||
HermitianLinearOperator<LittleDiracOperator,CoarseVector> HermIndefLdop(LittleDiracOp);
|
||||
ConjugateResidual<CoarseVector> MCR(1.0e-8,10000);
|
||||
ConjugateResidual<CoarseVector> MCR(1.0e-6,10000);
|
||||
MCR(HermIndefLdop,c_src,c_res);
|
||||
|
||||
std::cout << "Done "<< std::endl;
|
||||
|
||||
@ -1,124 +0,0 @@
|
||||
#include <Grid.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
using namespace Grid::QCD;
|
||||
|
||||
|
||||
template<class d>
|
||||
struct scal {
|
||||
d internal;
|
||||
};
|
||||
|
||||
Gamma::GammaMatrix Gmu [] = {
|
||||
Gamma::GammaX,
|
||||
Gamma::GammaY,
|
||||
Gamma::GammaZ,
|
||||
Gamma::GammaT
|
||||
};
|
||||
|
||||
double lowpass(double x)
|
||||
{
|
||||
return pow(x*x,-2);
|
||||
}
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
Chebyshev<LatticeFermion> filter(-120.0, 120.0,256, lowpass);
|
||||
ofstream csv(std::string("filter.dat"),std::ios::out|std::ios::trunc);
|
||||
filter.csv(csv);
|
||||
csv.close();
|
||||
|
||||
const int Ls=8;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
// Construct a coarsened grid
|
||||
std::vector<int> clatt = GridDefaultLatt();
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
clatt[d] = clatt[d]/2;
|
||||
}
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplexF::Nsimd()),GridDefaultMpi());;
|
||||
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
|
||||
|
||||
std::vector<int> seeds4({1,2,3,4});
|
||||
std::vector<int> seeds5({5,6,7,8});
|
||||
std::vector<int> cseeds({5,6,7,8});
|
||||
GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers(seeds5);
|
||||
GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers(seeds4);
|
||||
GridParallelRNG CRNG(Coarse5d);CRNG.SeedFixedIntegers(cseeds);
|
||||
|
||||
LatticeFermion src(FGrid); gaussian(RNG5,src);
|
||||
LatticeFermion result(FGrid); result=zero;
|
||||
LatticeFermion ref(FGrid); ref=zero;
|
||||
LatticeFermion tmp(FGrid);
|
||||
LatticeFermion err(FGrid);
|
||||
LatticeGaugeField Umu(UGrid); gaussian(RNG4,Umu);
|
||||
|
||||
|
||||
//random(RNG4,Umu);
|
||||
NerscField header;
|
||||
std::string file("./ckpoint_lat.400");
|
||||
readNerscConfiguration(Umu,header,file);
|
||||
|
||||
#if 0
|
||||
LatticeColourMatrix U(UGrid);
|
||||
Complex cone(1.0,0.0);
|
||||
for(int nn=0;nn<Nd;nn++){
|
||||
if (nn==3) {
|
||||
U=zero; std::cout << "zeroing gauge field in dir "<<nn<<std::endl;
|
||||
// else { U[nn]= cone;std::cout << "unit gauge field in dir "<<nn<<std::endl; }
|
||||
pokeIndex<LorentzIndex>(Umu,U,nn);
|
||||
}
|
||||
}
|
||||
#endif
|
||||
RealD mass=0.5;
|
||||
RealD M5=1.8;
|
||||
|
||||
DomainWallFermion Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
Gamma5R5HermitianLinearOperator<DomainWallFermion,LatticeFermion> HermIndefOp(Ddwf);
|
||||
|
||||
const int nbasis = 8;
|
||||
std::vector<LatticeFermion> subspace(nbasis,FGrid);
|
||||
LatticeFermion noise(FGrid);
|
||||
LatticeFermion ms(FGrid);
|
||||
for(int b=0;b<nbasis;b++){
|
||||
Gamma g5(Gamma::Gamma5);
|
||||
gaussian(RNG5,noise);
|
||||
RealD scale = pow(norm2(noise),-0.5);
|
||||
noise=noise*scale;
|
||||
|
||||
HermIndefOp.HermOp(noise,ms); std::cout << "Noise "<<b<<" Ms "<<norm2(ms)<< " "<< norm2(noise)<<std::endl;
|
||||
|
||||
filter(HermIndefOp,noise,subspace[b]);
|
||||
scale = pow(norm2(subspace[b]),-0.5);
|
||||
subspace[b]=subspace[b]*scale;
|
||||
HermIndefOp.HermOp(subspace[b],ms); std::cout << "Filtered "<<b<<" Ms "<<norm2(ms)<< " "<<norm2(subspace[b]) <<std::endl;
|
||||
}
|
||||
std::cout << "Computed randoms"<< std::endl;
|
||||
|
||||
typedef CoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
LittleDiracOperator LittleDiracOp(*Coarse5d);
|
||||
LittleDiracOp.CoarsenOperator(FGrid,HermIndefOp,subspace);
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
gaussian(CRNG,c_src);
|
||||
c_res=zero;
|
||||
|
||||
std::cout << "Solving MCR on coarse space "<< std::endl;
|
||||
HermitianLinearOperator<LittleDiracOperator,CoarseVector> HermIndefLdop(LittleDiracOp);
|
||||
ConjugateResidual<CoarseVector> MCR(1.0e-8,10000);
|
||||
MCR(HermIndefLdop,c_src,c_res);
|
||||
|
||||
std::cout << "Done "<< std::endl;
|
||||
Grid_finalize();
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user