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Subspace setup testing code

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and timing verbose
This commit is contained in:
Peter Boyle 2019-12-10 21:48:42 -05:00
parent bab0bf2e93
commit 710fee5d26
1 changed files with 57 additions and 13 deletions
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70
Grid/algorithms/CoarsenedMatrix.h
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@ -115,9 +115,9 @@ public:
void Orthogonalise(void){
CoarseScalar InnerProd(CoarseGrid);
std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
std::cout << GridLogMessage <<" Block Gramm-Schmidt pass 1"<<std::endl;
blockOrthogonalise(InnerProd,subspace);
std::cout << GridLogMessage <<" Gramm-Schmidt pass 2"<<std::endl;
std::cout << GridLogMessage <<" Block Gramm-Schmidt pass 2"<<std::endl; // Really have to do twice? Yuck
blockOrthogonalise(InnerProd,subspace);
// std::cout << GridLogMessage <<" Gramm-Schmidt checking orthogonality"<<std::endl;
// CheckOrthogonal();
@ -237,32 +237,65 @@ public:
}
//
// World of possibilities here.
// Experiments
// i) Use inverse iteration method equivaleent with Chebyshve
// ii) Multiply by Fourier phases
// iii) Multiply by Fourier phases and refilter
//
virtual void CreateSubspaceChebyshev(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
RealD scale;
const int dependent=4;
Chebyshev<FineField> Cheb(0.1,64.0,900);
Chebyshev<FineField> ChebDependent(1.0,64.0,100);
Chebyshev<FineField> ChebFilt (0.1,64.0,900);
FineField noise(FineGrid);
FineField Mn(FineGrid);
for(int b=0;b<nn;b++){
for(int bb=0;bb<nn;bb+=dependent){
// New normalised noise
gaussian(RNG,noise);
scale = std::pow(norm2(noise),-0.5);
noise=noise*scale;
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
// Initial matrix element
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<bb<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
Cheb(hermop,noise,Mn);
for(int b=bb;b<bb+dependent;b++) {
scale = std::pow(norm2(Mn),-0.5);
Mn=Mn*scale;
subspace[b] = Mn;
// Filter
if(b==bb) {
ChebFilt(hermop,noise,Mn);
} else {
ChebDependent(hermop,noise,Mn);
}
hermop.Op(Mn,noise); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(noise)<<std::endl;
// normalise
scale = std::pow(norm2(Mn),-0.5);
Mn=Mn*scale;
// set this new vector
subspace[b] = Mn;
// new matrix element
hermop.Op(Mn,noise); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(noise)<<std::endl;
// Dependent vector rule
// a) noise = A. Mn;
noise = Mn; // Already normaliseed
// c) noise = fourier_phase * Mn; // etc..
if ( b<bb+dependent-1 ) {
hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
}
}
}
Orthogonalise();
@ -426,8 +459,10 @@ public:
CoarseVector oProj(Grid());
CoarseScalar InnerProd(Grid());
std::cout << GridLogMessage<< "CoarsenMatrix" << std::endl;
// Orthogonalise the subblocks over the basis
blockOrthogonalise(InnerProd,Subspace.subspace);
std::cout << GridLogMessage<< "CoarsenMatrix orthogonalised" << std::endl;
// Compute the matrix elements of linop between this orthonormal
// set of vectors.
@ -443,10 +478,11 @@ public:
for(int i=0;i<nbasis;i++){
phi=Subspace.subspace[i];
std::cout<<GridLogMessage<<"("<<i<<").."<<std::endl;
std::cout<<GridLogMessage<<"("<<i<<") "<<std::endl;
for(int p=0;p<geom.npoint;p++){
std::cout << GridLogMessage<< "CoarsenMatrix direction "<<p << std::endl;
int dir = geom.directions[p];
int disp = geom.displacements[p];
@ -460,6 +496,7 @@ public:
else {
linop.OpDir(phi,Mphi,dir,disp);
}
std::cout << GridLogMessage<< "CoarsenMatrix direction "<<p << "Mdir done "<< std::endl;
////////////////////////////////////////////////////////////////////////
// Pick out contributions coming from this cell and neighbour cell
@ -476,16 +513,23 @@ public:
} else {
assert(0);
}
std::cout << GridLogMessage<< "CoarsenMatrix direction "<<p << "selected "<< std::endl;
Subspace.ProjectToSubspace(iProj,iblock);
Subspace.ProjectToSubspace(oProj,oblock);
std::cout << GridLogMessage<< "CoarsenMatrix direction "<<p << "proojected "<< std::endl;
// 4x gain possible in this loop. Profile and identify time loss.
// i) Assume Hermiticity, upper diagonal only (2x)
// ii) Local inner product, then pick the local inners and sum. (2x)
//
// blockProject(iProj,iblock,Subspace.subspace);
// blockProject(oProj,oblock,Subspace.subspace);
auto iProj_v = iProj.View() ;
auto oProj_v = oProj.View() ;
auto A_p = A[p].View();
auto A_self = A[self_stencil].View();
thread_for(ss, Grid()->oSites(),{
accelerator_for(ss, Grid()->oSites(),1,{
for(int j=0;j<nbasis;j++){
if( disp!= 0 ) {
A_p[ss](j,i) = oProj_v[ss](j);