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37884d369f
Author | SHA1 | Date | |
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37884d369f | ||
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9246e653cd | ||
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64283c8673 | ||
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755002da9c | ||
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31b8e8b437 | ||
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0ec0de97e6 | ||
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6c3ade5d89 | ||
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980c5f9a34 | ||
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471ca5f281 | ||
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e82ddcff5d | ||
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b9dcad89e8 | ||
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993f43ef4a |
@ -123,7 +123,7 @@ public:
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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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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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@ -170,7 +170,8 @@ public:
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subspace[b] = noise;
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}
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}
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virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
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virtual void CreateSubspace(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis)
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{
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RealD scale;
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@ -229,6 +230,11 @@ public:
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scale = std::pow(norm2(noise),-0.5);
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noise=noise*scale;
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std::cout << GridLogMessage<<" Chebyshev subspace pass-1 : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
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std::cout << GridLogMessage<<" Chebyshev subspace pass-2 : nbasis"<<nn<<" min "
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<<ordermin<<" step "<<orderstep
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<<" lo"<<filterlo<<std::endl;
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// Initial matrix element
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hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
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@ -302,6 +308,43 @@ public:
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}
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assert(b==nn);
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}
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virtual void CreateSubspaceChebyshev(GridParallelRNG &RNG,LinearOperatorBase<FineField> &hermop,
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int nn,
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double hi,
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double lo,
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int orderfilter
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) {
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RealD scale;
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FineField noise(FineGrid);
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FineField Mn(FineGrid);
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FineField tmp(FineGrid);
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// New normalised noise
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std::cout << GridLogMessage<<" Chebyshev subspace pure noise : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
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std::cout << GridLogMessage<<" Chebyshev subspace pure noise : nbasis"<<nn<<std::endl;
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for(int b =0;b<nbasis;b++)
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{
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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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// Initial matrix element
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hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
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// Filter
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Chebyshev<FineField> Cheb(lo,hi,orderfilter);
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Cheb(hermop,noise,Mn);
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// normalise
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scale = std::pow(norm2(Mn),-0.5); Mn=Mn*scale;
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subspace[b] = Mn;
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hermop.Op(Mn,tmp);
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std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
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}
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}
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};
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|
@ -34,6 +34,7 @@ Author: Peter Boyle <pboyle@bnl.gov>
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NAMESPACE_BEGIN(Grid);
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// Fixme need coalesced read gpermute
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template<class vobj> void gpermute(vobj & inout,int perm){
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vobj tmp=inout;
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if (perm & 0x1 ) { permute(inout,tmp,0); tmp=inout;}
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@ -50,175 +51,139 @@ template<class vobj> void gpermute(vobj & inout,int perm){
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class NonLocalStencilGeometry {
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public:
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int depth;
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int hops;
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int npoint;
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std::vector<Coordinate> shifts;
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virtual void BuildShifts(void) { assert(0); } ;
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int Depth(void){return depth;};
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NonLocalStencilGeometry(int _depth) : depth(_depth)
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{
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};
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Coordinate stencil_size;
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Coordinate stencil_lo;
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Coordinate stencil_hi;
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GridCartesian *grid;
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GridCartesian *Grid() {return grid;};
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int Depth(void){return 1;}; // Ghost zone depth
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int Hops(void){return hops;}; // # of hops=> level of corner fill in in stencil
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|
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virtual int DimSkip(void) =0;
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|
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virtual ~NonLocalStencilGeometry() {};
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};
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// Need to worry about red-black now
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class NextToNearestStencilGeometry4D : public NonLocalStencilGeometry {
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public:
|
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NextToNearestStencilGeometry4D(void) : NonLocalStencilGeometry(2)
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|
||||
int Reverse(int point)
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||||
{
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||||
this->BuildShifts();
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||||
};
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virtual ~NextToNearestStencilGeometry4D() {};
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virtual void BuildShifts(void)
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int Nd = Grid()->Nd();
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Coordinate shft = shifts[point];
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Coordinate rev(Nd);
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for(int mu=0;mu<Nd;mu++) rev[mu]= -shft[mu];
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for(int p=0;p<npoint;p++){
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if(rev==shifts[p]){
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return p;
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||||
}
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||||
}
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assert(0);
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return -1;
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}
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void BuildShifts(void)
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||||
{
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this->shifts.resize(0);
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// Like HDCG: 81 point stencil including self connection
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this->shifts.push_back(Coordinate({0,0,0,0}));
|
||||
// +-x, +-y, +-z, +-t : 8
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for(int s=-1;s<=1;s+=2){
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this->shifts.push_back(Coordinate({s,0,0,0}));
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this->shifts.push_back(Coordinate({0,s,0,0}));
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this->shifts.push_back(Coordinate({0,0,s,0}));
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this->shifts.push_back(Coordinate({0,0,0,s}));
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}
|
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// +-x+-y, +-x+-z, +-x+-t, +-y+-z, +-y+-t, +-z+-t : 24
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for(int s1=-1;s1<=1;s1+=2){
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for(int s2=-1;s2<=1;s2+=2){
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this->shifts.push_back(Coordinate({s1,s2,0,0}));
|
||||
this->shifts.push_back(Coordinate({s1,0,s2,0}));
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this->shifts.push_back(Coordinate({s1,0,0,s2}));
|
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this->shifts.push_back(Coordinate({0,s1,s2,0}));
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||||
this->shifts.push_back(Coordinate({0,s1,0,s2}));
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this->shifts.push_back(Coordinate({0,0,s1,s2}));
|
||||
}}
|
||||
int Nd = this->grid->Nd();
|
||||
|
||||
int dd = this->DimSkip();
|
||||
for(int s0=this->stencil_lo[dd+0];s0<=this->stencil_hi[dd+0];s0++){
|
||||
for(int s1=this->stencil_lo[dd+1];s1<=this->stencil_hi[dd+1];s1++){
|
||||
for(int s2=this->stencil_lo[dd+2];s2<=this->stencil_hi[dd+2];s2++){
|
||||
for(int s3=this->stencil_lo[dd+3];s3<=this->stencil_hi[dd+3];s3++){
|
||||
Coordinate sft(Nd,0);
|
||||
sft[dd+0] = s0;
|
||||
sft[dd+1] = s1;
|
||||
sft[dd+2] = s2;
|
||||
sft[dd+3] = s3;
|
||||
int nhops = abs(s0)+abs(s1)+abs(s2)+abs(s3);
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||||
if(nhops<=this->hops) this->shifts.push_back(sft);
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||||
}}}}
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||||
this->npoint = this->shifts.size();
|
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std::cout << GridLogMessage << "NonLocalStencilGeometry has "<< this->npoint << " terms in stencil "<<std::endl;
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}
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NonLocalStencilGeometry(GridCartesian *_coarse_grid,int _hops) : grid(_coarse_grid), hops(_hops)
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||||
{
|
||||
Coordinate latt = grid->GlobalDimensions();
|
||||
stencil_size.resize(grid->Nd());
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stencil_lo.resize(grid->Nd());
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||||
stencil_hi.resize(grid->Nd());
|
||||
for(int d=0;d<grid->Nd();d++){
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if ( latt[d] == 1 ) {
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stencil_lo[d] = 0;
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||||
stencil_hi[d] = 0;
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stencil_size[d]= 1;
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} else if ( latt[d] == 2 ) {
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stencil_lo[d] = -1;
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stencil_hi[d] = 0;
|
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stencil_size[d]= 2;
|
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} else if ( latt[d] > 2 ) {
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stencil_lo[d] = -1;
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stencil_hi[d] = 1;
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stencil_size[d]= 3;
|
||||
}
|
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}
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};
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||||
|
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};
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// Need to worry about red-black now
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class NextToNextToNextToNearestStencilGeometry4D : public NonLocalStencilGeometry {
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class NonLocalStencilGeometry4D : public NonLocalStencilGeometry {
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public:
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NextToNextToNextToNearestStencilGeometry4D(void) : NonLocalStencilGeometry(4)
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virtual int DimSkip(void) { return 0;};
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NonLocalStencilGeometry4D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops) { };
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virtual ~NonLocalStencilGeometry4D() {};
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};
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class NonLocalStencilGeometry5D : public NonLocalStencilGeometry {
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public:
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virtual int DimSkip(void) { return 1; };
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NonLocalStencilGeometry5D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops) { };
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virtual ~NonLocalStencilGeometry5D() {};
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};
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/*
|
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* Bunch of different options classes
|
||||
*/
|
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class NextToNextToNextToNearestStencilGeometry4D : public NonLocalStencilGeometry4D {
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public:
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NextToNextToNextToNearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,4)
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{
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this->BuildShifts();
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};
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virtual ~NextToNextToNextToNearestStencilGeometry4D() {}
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virtual void BuildShifts(void)
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{
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this->shifts.resize(0);
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// Like HDCG: 81 point stencil including self connection
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this->shifts.push_back(Coordinate({0,0,0,0}));
|
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// +-x, +-y, +-z, +-t : 8
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for(int s=-1;s<=1;s+=2){
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this->shifts.push_back(Coordinate({s,0,0,0}));
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this->shifts.push_back(Coordinate({0,s,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,s,0}));
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this->shifts.push_back(Coordinate({0,0,0,s}));
|
||||
}
|
||||
// +-x+-y, +-x+-z, +-x+-t, +-y+-z, +-y+-t, +-z+-t : 24
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for(int s1=-1;s1<=1;s1+=2){
|
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for(int s2=-1;s2<=1;s2+=2){
|
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this->shifts.push_back(Coordinate({s1,s2,0,0}));
|
||||
this->shifts.push_back(Coordinate({s1,0,s2,0}));
|
||||
this->shifts.push_back(Coordinate({s1,0,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,0}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,s2}));
|
||||
}}
|
||||
// +-x+-y+-z, +-x+-y+-z, +-x+-y+-z,
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
for(int s3=-1;s3<=1;s3+=2){
|
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this->shifts.push_back(Coordinate({s1,s2,s3,0})); // 8x4 = 32
|
||||
this->shifts.push_back(Coordinate({s1,s2,0,s3}));
|
||||
this->shifts.push_back(Coordinate({s1,0,s2,s3}));
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,s3}));
|
||||
}}}
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
for(int s3=-1;s3<=1;s3+=2){
|
||||
for(int s4=-1;s4<=1;s4+=2){
|
||||
this->shifts.push_back(Coordinate({s1,s2,s3,s4})); // 16
|
||||
}}}}
|
||||
this->npoint = this->shifts.size();
|
||||
}
|
||||
};
|
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class NextToNearestStencilGeometry5D : public NonLocalStencilGeometry {
|
||||
class NextToNextToNextToNearestStencilGeometry5D : public NonLocalStencilGeometry5D {
|
||||
public:
|
||||
NextToNearestStencilGeometry5D(void) : NonLocalStencilGeometry(2)
|
||||
{
|
||||
this->BuildShifts();
|
||||
};
|
||||
virtual ~NextToNearestStencilGeometry5D() {};
|
||||
virtual void BuildShifts(void)
|
||||
{
|
||||
this->shifts.resize(0);
|
||||
// Like HDCG: 81 point stencil including self connection
|
||||
this->shifts.push_back(Coordinate({0,0,0,0,0}));
|
||||
// +-x, +-y, +-z, +-t : 8
|
||||
for(int s=-1;s<=1;s+=2){
|
||||
this->shifts.push_back(Coordinate({0,s,0,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,s,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,s,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,0,s}));
|
||||
}
|
||||
// +-x+-y, +-x+-z, +-x+-t, +-y+-z, +-y+-t, +-z+-t : 24
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,s2,0}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,s2,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,s1,s2}));
|
||||
}}
|
||||
this->npoint = this->shifts.size();
|
||||
}
|
||||
};
|
||||
// Need to worry about red-black now
|
||||
class NextToNextToNextToNearestStencilGeometry5D : public NonLocalStencilGeometry {
|
||||
public:
|
||||
NextToNextToNextToNearestStencilGeometry5D(void) : NonLocalStencilGeometry(4)
|
||||
NextToNextToNextToNearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,4)
|
||||
{
|
||||
this->BuildShifts();
|
||||
};
|
||||
virtual ~NextToNextToNextToNearestStencilGeometry5D() {}
|
||||
virtual void BuildShifts(void)
|
||||
};
|
||||
class NextToNearestStencilGeometry4D : public NonLocalStencilGeometry4D {
|
||||
public:
|
||||
NextToNearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,2)
|
||||
{
|
||||
this->shifts.resize(0);
|
||||
// Like HDCG: 81 point stencil including self connection
|
||||
this->shifts.push_back(Coordinate({0,0,0,0,0}));
|
||||
// +-x, +-y, +-z, +-t : 8
|
||||
for(int s=-1;s<=1;s+=2){
|
||||
this->shifts.push_back(Coordinate({0,s,0,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,s,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,s,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,0,s}));
|
||||
}
|
||||
// +-x+-y, +-x+-z, +-x+-t, +-y+-z, +-y+-t, +-z+-t : 24
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,0,0}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,s2,0}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,s2,0}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,0,s2}));
|
||||
this->shifts.push_back(Coordinate({0,0,0,s1,s2}));
|
||||
}}
|
||||
// +-x+-y+-z, +-x+-y+-z, +-x+-y+-z,
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
for(int s3=-1;s3<=1;s3+=2){
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,s3,0})); // 8x4 = 32
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,0,s3}));
|
||||
this->shifts.push_back(Coordinate({0,s1,0,s2,s3}));
|
||||
this->shifts.push_back(Coordinate({0,0,s1,s2,s3}));
|
||||
}}}
|
||||
for(int s1=-1;s1<=1;s1+=2){
|
||||
for(int s2=-1;s2<=1;s2+=2){
|
||||
for(int s3=-1;s3<=1;s3+=2){
|
||||
for(int s4=-1;s4<=1;s4+=2){
|
||||
this->shifts.push_back(Coordinate({0,s1,s2,s3,s4})); // 16
|
||||
}}}}
|
||||
this->npoint = this->shifts.size();
|
||||
}
|
||||
this->BuildShifts();
|
||||
};
|
||||
};
|
||||
class NextToNearestStencilGeometry5D : public NonLocalStencilGeometry5D {
|
||||
public:
|
||||
NextToNearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,2)
|
||||
{
|
||||
this->BuildShifts();
|
||||
};
|
||||
};
|
||||
class NearestStencilGeometry4D : public NonLocalStencilGeometry4D {
|
||||
public:
|
||||
NearestStencilGeometry4D(GridCartesian *Coarse) : NonLocalStencilGeometry4D(Coarse,1)
|
||||
{
|
||||
this->BuildShifts();
|
||||
};
|
||||
};
|
||||
class NearestStencilGeometry5D : public NonLocalStencilGeometry5D {
|
||||
public:
|
||||
NearestStencilGeometry5D(GridCartesian *Coarse) : NonLocalStencilGeometry5D(Coarse,1)
|
||||
{
|
||||
this->BuildShifts();
|
||||
};
|
||||
};
|
||||
|
||||
// Fine Object == (per site) type of fine field
|
||||
@ -228,7 +193,7 @@ class GeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,
|
||||
public:
|
||||
|
||||
typedef iVector<CComplex,nbasis > siteVector;
|
||||
typedef Lattice<CComplex > CoarseComplexField;
|
||||
typedef Lattice<iScalar<CComplex> > CoarseComplexField;
|
||||
typedef Lattice<siteVector> CoarseVector;
|
||||
typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
|
||||
typedef iMatrix<CComplex,nbasis > Cobj;
|
||||
@ -239,7 +204,7 @@ public:
|
||||
// Data members
|
||||
////////////////////
|
||||
int hermitian;
|
||||
GridCartesian * _FineGrid;
|
||||
GridBase * _FineGrid;
|
||||
GridCartesian * _CoarseGrid;
|
||||
NonLocalStencilGeometry &geom;
|
||||
PaddedCell Cell;
|
||||
@ -251,11 +216,11 @@ public:
|
||||
///////////////////////
|
||||
// Interface
|
||||
///////////////////////
|
||||
GridCartesian * Grid(void) { return _FineGrid; }; // this is all the linalg routines need to know
|
||||
GridCartesian * FineGrid(void) { return _FineGrid; }; // this is all the linalg routines need to know
|
||||
GridBase * Grid(void) { return _FineGrid; }; // this is all the linalg routines need to know
|
||||
GridBase * FineGrid(void) { return _FineGrid; }; // this is all the linalg routines need to know
|
||||
GridCartesian * CoarseGrid(void) { return _CoarseGrid; }; // this is all the linalg routines need to know
|
||||
|
||||
GeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridCartesian *FineGrid, GridCartesian * CoarseGrid)
|
||||
GeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridBase *FineGrid, GridCartesian * CoarseGrid)
|
||||
: geom(_geom),
|
||||
_FineGrid(FineGrid),
|
||||
_CoarseGrid(CoarseGrid),
|
||||
@ -263,6 +228,20 @@ public:
|
||||
Cell(_geom.Depth(),_CoarseGrid),
|
||||
Stencil(Cell.grids.back(),geom.shifts)
|
||||
{
|
||||
{
|
||||
int npoint = _geom.npoint;
|
||||
StencilEntry *SE;
|
||||
autoView( Stencil_v , Stencil, AcceleratorRead);
|
||||
int osites=Stencil.Grid()->oSites();
|
||||
for(int ss=0;ss<osites;ss++){
|
||||
for(int point=0;point<npoint;point++){
|
||||
auto SE = Stencil_v.GetEntry(point,ss);
|
||||
int o = SE->_offset;
|
||||
assert( o< osites);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
_A.resize(geom.npoint,CoarseGrid);
|
||||
_Adag.resize(geom.npoint,CoarseGrid);
|
||||
}
|
||||
@ -280,9 +259,9 @@ public:
|
||||
conformable(in.Grid(),out.Grid());
|
||||
out.Checkerboard() = in.Checkerboard();
|
||||
CoarseVector tin=in;
|
||||
std::cout << "Calling Exchange"<<std::endl;
|
||||
|
||||
CoarseVector pin = Cell.Exchange(tin);
|
||||
// std::cout << "Called Exchange"<<std::endl;
|
||||
|
||||
CoarseVector pout(pin.Grid());
|
||||
|
||||
autoView( in_v , pin, AcceleratorRead);
|
||||
@ -300,14 +279,13 @@ public:
|
||||
const int Nsimd = CComplex::Nsimd();
|
||||
typedef siteVector calcVector;
|
||||
typedef CComplex calcComplex;
|
||||
|
||||
|
||||
int osites=pin.Grid()->oSites();
|
||||
|
||||
for(int point=0;point<npoint;point++){
|
||||
conformable(_A[point],pin);
|
||||
conformable(A[point],pin);
|
||||
}
|
||||
|
||||
// Should also exchange "A" and "Adag"
|
||||
|
||||
accelerator_for(sss, osites*nbasis, 1, {
|
||||
int ss = sss/nbasis;
|
||||
int b = sss%nbasis;
|
||||
@ -317,8 +295,6 @@ public:
|
||||
calcVector nbr;
|
||||
int ptype;
|
||||
StencilEntry *SE;
|
||||
|
||||
// FIXME -- exchange the A and the A dag
|
||||
|
||||
for(int point=0;point<npoint;point++){
|
||||
|
||||
@ -326,9 +302,9 @@ public:
|
||||
|
||||
int o = SE->_offset;
|
||||
|
||||
assert( o < osites);
|
||||
// gpermute etc..
|
||||
nbr = in_v[o];
|
||||
assert( o< osites);
|
||||
gpermute(nbr,SE->_permute);
|
||||
|
||||
for(int bb=0;bb<nbasis;bb++) {
|
||||
@ -343,49 +319,50 @@ public:
|
||||
out = Cell.Extract(pout);
|
||||
};
|
||||
|
||||
void Test(LinearOperatorBase<Lattice<Fobj> > &linop,
|
||||
Aggregation<Fobj,CComplex,nbasis> & Subspace)
|
||||
void PopulateAdag(void)
|
||||
{
|
||||
// Create a random
|
||||
GridCartesian *grid = FineGrid();
|
||||
FineField MbV(grid);
|
||||
FineField tmp(grid);
|
||||
FineField f_src(grid);
|
||||
FineField f_res(grid);
|
||||
FineField f_ref(grid);
|
||||
CoarseVector c_src(CoarseGrid());
|
||||
CoarseVector c_res(CoarseGrid());
|
||||
CoarseVector coarseInner(CoarseGrid());
|
||||
GridParallelRNG RNG(CoarseGrid()); RNG.SeedUniqueString(std::string("Coarse RNG"));
|
||||
random(RNG,c_src);
|
||||
blockPromote(c_src,f_src,Subspace.subspace);
|
||||
linop.op(f_src,f_ref);
|
||||
this->Mult (_A,c_src,c_res);
|
||||
blockPromote(c_res,f_res,Subspace.subspace);
|
||||
std::cout << " GeneralCoarsenedMatrix comparison res "<<norm2(f_res)<<std::endl;
|
||||
std::cout << " GeneralCoarsenedMatrix comparison ref "<<norm2(f_ref)<<std::endl;
|
||||
f_res = f_res - f_ref;
|
||||
std::cout << " GeneralCoarsenedMatrix comparison diff "<<norm2(f_res)<<std::endl;
|
||||
for(int bidx=0;bidx<CoarseGrid()->gSites() ;bidx++){
|
||||
Coordinate bcoor;
|
||||
CoarseGrid()->GlobalIndexToGlobalCoor(bidx,bcoor);
|
||||
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
Coordinate scoor = bcoor;
|
||||
for(int mu=0;mu<bcoor.size();mu++){
|
||||
int L = CoarseGrid()->GlobalDimensions()[mu];
|
||||
scoor[mu] = (bcoor[mu] - geom.shifts[p][mu] + L) % L; // Modulo arithmetic
|
||||
}
|
||||
// Flip to poke/peekLocalSite and not too bad
|
||||
auto link = peekSite(_A[p],scoor);
|
||||
int pp = geom.Reverse(p);
|
||||
pokeSite(adj(link),_Adag[pp],bcoor);
|
||||
}
|
||||
}
|
||||
}
|
||||
void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
|
||||
Aggregation<Fobj,CComplex,nbasis> & Subspace)
|
||||
{
|
||||
RealD tproj=0.0;
|
||||
RealD tpick=0.0;
|
||||
RealD tmat=0.0;
|
||||
RealD tpeek=0.0;
|
||||
std::cout << GridLogMessage<< "CoarsenMatrix "<< std::endl;
|
||||
GridCartesian *grid = FineGrid();
|
||||
GridBase *grid = FineGrid();
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// Orthogonalise the subblocks over the basis
|
||||
////////////////////////////////////////////////
|
||||
CoarseScalar InnerProd(CoarseGrid());
|
||||
for(int b=0;b<nbasis;b++){
|
||||
std::cout << "subspace["<<b<<"] " <<norm2(Subspace.subspace[b])<<std::endl;
|
||||
}
|
||||
blockOrthogonalise(InnerProd,Subspace.subspace);
|
||||
|
||||
////////////////////////////////////////////////
|
||||
// Now compute the matrix elements of linop between this orthonormal
|
||||
// set of vectors.
|
||||
////////////////////////////////////////////////
|
||||
FineField bV(grid);
|
||||
FineField MbV(grid);
|
||||
FineField tmp(grid);
|
||||
CoarseVector coarseInner(CoarseGrid());
|
||||
|
||||
|
||||
// Very inefficient loop of order coarse volume.
|
||||
// First pass hack
|
||||
// Could replace with a coloring scheme our phase scheme
|
||||
@ -393,39 +370,240 @@ public:
|
||||
for(int bidx=0;bidx<CoarseGrid()->gSites() ;bidx++){
|
||||
Coordinate bcoor;
|
||||
CoarseGrid()->GlobalIndexToGlobalCoor(bidx,bcoor);
|
||||
std::cout << GridLogMessage<< "CoarsenMatrix block "<< bcoor << std::endl;
|
||||
|
||||
for(int b=0;b<nbasis;b++){
|
||||
tpick-=usecond();
|
||||
blockPick(CoarseGrid(),Subspace.subspace[b],bV,bcoor);
|
||||
linop.HermOp(bV,MbV);
|
||||
tpick+=usecond();
|
||||
tmat-=usecond();
|
||||
linop.Op(bV,MbV);
|
||||
tmat+=usecond();
|
||||
tproj-=usecond();
|
||||
blockProject(coarseInner,MbV,Subspace.subspace);
|
||||
tproj+=usecond();
|
||||
|
||||
tpeek-=usecond();
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
Coordinate scoor = bcoor;
|
||||
for(int mu=0;mu<bcoor.size();mu++){
|
||||
int L = CoarseGrid()->GlobalDimensions()[mu];
|
||||
scoor[mu] = (bcoor[mu] - geom.shifts[p][mu] + L) % L; // Modulo arithmetic
|
||||
}
|
||||
// Flip to peekLocalSite
|
||||
// Flip to pokeLocalSite
|
||||
auto ip = peekSite(coarseInner,scoor);
|
||||
std::cout << "A["<<b<<"]["<<p<<"]"<<scoor<<" "<<" shift "<<geom.shifts[p]<<" "<< ip <<std::endl;
|
||||
auto Ab = peekSite(_A[p],scoor);
|
||||
auto Adagb = peekSite(_Adag[p],bcoor);
|
||||
int pp = geom.Reverse(p);
|
||||
auto Adagb = peekSite(_Adag[pp],bcoor);
|
||||
for(int bb=0;bb<nbasis;bb++){
|
||||
Ab(bb,b) = ip(bb);
|
||||
Adagb(b,bb) = conjugate(ip(bb));
|
||||
}
|
||||
pokeSite(Ab,_A[p],scoor);
|
||||
pokeSite(Adagb,_Adag[p],bcoor);
|
||||
pokeSite(Adagb,_Adag[pp],bcoor);
|
||||
}
|
||||
tpeek+=usecond();
|
||||
}
|
||||
}
|
||||
std::cout << " Exchanging _A " <<std::endl;
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
Coordinate coor({0,0,0,0,0});
|
||||
auto sval = peekSite(_A[p],coor);
|
||||
}
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
_A[p] = Cell.Exchange(_A[p]);
|
||||
_Adag[p] = Cell.Exchange(_Adag[p]);
|
||||
_Adag[p]= Cell.Exchange(_Adag[p]);
|
||||
}
|
||||
std::cout << GridLogMessage<<"CoarsenOperator pick "<<tpick<<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator mat "<<tmat <<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator projection "<<tproj<<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator peek/poke "<<tpeek<<" us"<<std::endl;
|
||||
}
|
||||
|
||||
/////////////////////////////////////////////////////////////
|
||||
//
|
||||
// A) Only reduced flops option is to use a padded cell of depth 4
|
||||
// and apply MpcDagMpc in the padded cell.
|
||||
//
|
||||
// Makes for ONE application of MpcDagMpc per vector instead of 30 or 80.
|
||||
// With the effective cell size around (B+8)^4 perhaps 12^4/4^4 ratio
|
||||
// Cost is 81x more, same as stencil size.
|
||||
//
|
||||
// But: can eliminate comms and do as local dirichlet.
|
||||
//
|
||||
// Local exchange gauge field once.
|
||||
// Apply to all vectors, local only computation.
|
||||
// Must exchange ghost subcells in reverse process of PaddedCell to take inner products
|
||||
//
|
||||
// B) Can reduce cost: pad by 1, apply Deo (4^4+6^4+8^4+8^4 )/ (4x 4^4)
|
||||
// pad by 2, apply Doe
|
||||
// pad by 3, apply Deo
|
||||
// then break out 8x directions; cost is ~10x MpcDagMpc per vector
|
||||
//
|
||||
// => almost factor of 10 in setup cost, excluding data rearrangement
|
||||
//
|
||||
// Intermediates -- ignore the corner terms, leave approximate and force Hermitian
|
||||
// Intermediates -- pad by 2 and apply 1+8+24 = 33 times.
|
||||
/////////////////////////////////////////////////////////////
|
||||
|
||||
//////////////////////////////////////////////////////////
|
||||
// BFM HDCG style approach: Solve a system of equations to get Aij
|
||||
//////////////////////////////////////////////////////////
|
||||
/*
|
||||
* Here, k,l index which possible shift within the 3^Nd "ball" connected by MdagM.
|
||||
*
|
||||
* conj(phases[block]) proj[k][ block*Nvec+j ] = \sum_ball e^{i q_k . delta} < phi_{block,j} | MdagM | phi_{(block+delta),i} >
|
||||
* = \sum_ball e^{iqk.delta} A_ji
|
||||
*
|
||||
* Must invert matrix M_k,l = e^[i q_k . delta_l]
|
||||
*
|
||||
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
|
||||
*/
|
||||
void CoarsenOperatorColoured(LinearOperatorBase<Lattice<Fobj> > &linop,
|
||||
Aggregation<Fobj,CComplex,nbasis> & Subspace)
|
||||
{
|
||||
std::cout << GridLogMessage<< "CoarsenMatrixColoured "<< std::endl;
|
||||
GridBase *grid = FineGrid();
|
||||
|
||||
RealD tproj=0.0;
|
||||
RealD teigen=0.0;
|
||||
RealD tmat=0.0;
|
||||
RealD tphase=0.0;
|
||||
RealD tinv=0.0;
|
||||
|
||||
/////////////////////////////////////////////////////////////
|
||||
// Orthogonalise the subblocks over the basis
|
||||
/////////////////////////////////////////////////////////////
|
||||
CoarseScalar InnerProd(CoarseGrid());
|
||||
blockOrthogonalise(InnerProd,Subspace.subspace);
|
||||
|
||||
const int npoint = geom.npoint;
|
||||
|
||||
Coordinate clatt = CoarseGrid()->GlobalDimensions();
|
||||
int Nd = CoarseGrid()->Nd();
|
||||
|
||||
/*
|
||||
* Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
|
||||
* Matrix index i is mapped to this shift via
|
||||
* geom.shifts[i]
|
||||
*
|
||||
* conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
|
||||
* = \sum_{l in ball} e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
|
||||
* = \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
|
||||
* = M_{kl} A_ji^{b.b+l}
|
||||
*
|
||||
* Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
|
||||
*
|
||||
* Where q_k = delta_k . (2*M_PI/global_nb[mu])
|
||||
*
|
||||
* Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
|
||||
*/
|
||||
teigen-=usecond();
|
||||
ComplexD ci(0.0,1.0);
|
||||
Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
|
||||
Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
|
||||
for(int k=0;k<npoint;k++){ // Loop over momenta
|
||||
|
||||
for(int l=0;l<npoint;l++){ // Loop over nbr relative
|
||||
std::complex<double> phase(0.0,0.0);
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
|
||||
phase=phase+TwoPiL*geom.shifts[k][mu]*geom.shifts[l][mu];
|
||||
}
|
||||
phase=exp(phase*ci);
|
||||
Mkl(k,l) = phase;
|
||||
}
|
||||
}
|
||||
invMkl = Mkl.inverse();
|
||||
teigen+=usecond();
|
||||
|
||||
///////////////////////////////////////////////////////////////////////
|
||||
// Now compute the matrix elements of linop between the orthonormal
|
||||
// set of vectors.
|
||||
///////////////////////////////////////////////////////////////////////
|
||||
FineField phaV(grid); // Phased block basis vector
|
||||
FineField MphaV(grid);// Matrix applied
|
||||
CoarseVector coarseInner(CoarseGrid());
|
||||
|
||||
std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid());
|
||||
std::vector<CoarseVector> FT(npoint,CoarseGrid());
|
||||
for(int i=0;i<nbasis;i++){// Loop over basis vectors
|
||||
std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
|
||||
for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
|
||||
/////////////////////////////////////////////////////
|
||||
// Stick a phase on every block
|
||||
/////////////////////////////////////////////////////
|
||||
tphase-=usecond();
|
||||
CoarseComplexField coor(CoarseGrid());
|
||||
CoarseComplexField pha(CoarseGrid()); pha=Zero();
|
||||
for(int mu=0;mu<Nd;mu++){
|
||||
LatticeCoordinate(coor,mu);
|
||||
RealD TwoPiL = M_PI * 2.0/ clatt[mu];
|
||||
pha = pha + (TwoPiL * geom.shifts[p][mu]) * coor;
|
||||
}
|
||||
pha =exp(pha*ci);
|
||||
phaV=Zero();
|
||||
blockZAXPY(phaV,pha,Subspace.subspace[i],phaV);
|
||||
tphase+=usecond();
|
||||
|
||||
/////////////////////////////////////////////////////////////////////
|
||||
// Multiple phased subspace vector by matrix and project to subspace
|
||||
// Remove local bulk phase to leave relative phases
|
||||
/////////////////////////////////////////////////////////////////////
|
||||
tmat-=usecond();
|
||||
linop.Op(phaV,MphaV);
|
||||
tmat+=usecond();
|
||||
|
||||
tproj-=usecond();
|
||||
blockProject(coarseInner,MphaV,Subspace.subspace);
|
||||
coarseInner = conjugate(pha) * coarseInner;
|
||||
|
||||
ComputeProj[p] = coarseInner;
|
||||
tproj+=usecond();
|
||||
|
||||
}
|
||||
|
||||
tinv-=usecond();
|
||||
for(int k=0;k<npoint;k++){
|
||||
FT[k] = Zero();
|
||||
for(int l=0;l<npoint;l++){
|
||||
FT[k]= FT[k]+ invMkl(l,k)*ComputeProj[l];
|
||||
}
|
||||
|
||||
int osites=CoarseGrid()->oSites();
|
||||
autoView( A_v , _A[k], AcceleratorWrite);
|
||||
autoView( FT_v , FT[k], AcceleratorRead);
|
||||
accelerator_for(sss, osites, 1, {
|
||||
for(int j=0;j<nbasis;j++){
|
||||
A_v[sss](j,i) = FT_v[sss](j);
|
||||
}
|
||||
});
|
||||
}
|
||||
tinv+=usecond();
|
||||
}
|
||||
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
Coordinate coor({0,0,0,0,0});
|
||||
auto sval = peekSite(_A[p],coor);
|
||||
}
|
||||
|
||||
PopulateAdag();
|
||||
|
||||
// Need to write something to populate Adag from A
|
||||
for(int p=0;p<geom.npoint;p++){
|
||||
_A[p] = Cell.Exchange(_A[p]);
|
||||
_Adag[p]= Cell.Exchange(_Adag[p]);
|
||||
}
|
||||
std::cout << GridLogMessage<<"CoarsenOperator eigen "<<teigen<<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator phase "<<tphase<<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator mat "<<tmat <<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator proj "<<tproj<<" us"<<std::endl;
|
||||
std::cout << GridLogMessage<<"CoarsenOperator inv "<<tinv<<" us"<<std::endl;
|
||||
}
|
||||
|
||||
virtual void Mdiag (const Field &in, Field &out){ assert(0);};
|
||||
virtual void Mdir (const Field &in, Field &out,int dir, int disp){assert(0);};
|
||||
virtual void MdirAll (const Field &in, std::vector<Field> &out){assert(0);};
|
||||
};
|
||||
|
||||
|
||||
NAMESPACE_END(Grid);
|
||||
|
@ -33,15 +33,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
||||
* Script A = SolverMatrix
|
||||
* Script P = Preconditioner
|
||||
*
|
||||
* Deflation methods considered
|
||||
* -- Solve P A x = P b [ like Luscher ]
|
||||
* DEF-1 M P A x = M P b [i.e. left precon]
|
||||
* DEF-2 P^T M A x = P^T M b
|
||||
* ADEF-1 Preconditioner = M P + Q [ Q + M + M A Q]
|
||||
* ADEF-2 Preconditioner = P^T M + Q
|
||||
* BNN Preconditioner = P^T M P + Q
|
||||
* BNN2 Preconditioner = M P + P^TM +Q - M P A M
|
||||
*
|
||||
* Implement ADEF-2
|
||||
*
|
||||
* Vstart = P^Tx + Qb
|
||||
@ -49,45 +40,157 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
||||
* M2=M3=1
|
||||
* Vout = x
|
||||
*/
|
||||
NAMESPACE_BEGIN(Grid);
|
||||
|
||||
// abstract base
|
||||
template<class Field, class CoarseField>
|
||||
template<class Field, class CoarseField, class Aggregation>
|
||||
class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
{
|
||||
public:
|
||||
int verbose;
|
||||
RealD Tolerance;
|
||||
Integer MaxIterations;
|
||||
const int mmax = 5;
|
||||
const int mmax = 1;
|
||||
GridBase *grid;
|
||||
GridBase *coarsegrid;
|
||||
|
||||
LinearOperatorBase<Field> *_Linop
|
||||
OperatorFunction<Field> *_Smoother,
|
||||
LinearFunction<CoarseField> *_CoarseSolver;
|
||||
// Fine operator, Smoother, CoarseSolver
|
||||
LinearOperatorBase<Field> &_FineLinop;
|
||||
LinearFunction<Field> &_Smoother;
|
||||
LinearFunction<CoarseField> &_CoarseSolver;
|
||||
LinearFunction<CoarseField> &_CoarseSolverPrecise;
|
||||
|
||||
// Need somthing that knows how to get from Coarse to fine and back again
|
||||
// Need something that knows how to get from Coarse to fine and back again
|
||||
// void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
|
||||
// void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
|
||||
Aggregation &_Aggregates;
|
||||
|
||||
// more most opertor functions
|
||||
TwoLevelFlexiblePcg(RealD tol,
|
||||
Integer maxit,
|
||||
LinearOperatorBase<Field> *Linop,
|
||||
LinearOperatorBase<Field> *SmootherLinop,
|
||||
OperatorFunction<Field> *Smoother,
|
||||
OperatorFunction<CoarseField> CoarseLinop
|
||||
Integer maxit,
|
||||
LinearOperatorBase<Field> &FineLinop,
|
||||
LinearFunction<Field> &Smoother,
|
||||
LinearFunction<CoarseField> &CoarseSolver,
|
||||
LinearFunction<CoarseField> &CoarseSolverPrecise,
|
||||
Aggregation &Aggregates
|
||||
) :
|
||||
Tolerance(tol),
|
||||
MaxIterations(maxit),
|
||||
_Linop(Linop),
|
||||
_PreconditionerLinop(PrecLinop),
|
||||
_Preconditioner(Preconditioner)
|
||||
{
|
||||
verbose=0;
|
||||
_FineLinop(FineLinop),
|
||||
_Smoother(Smoother),
|
||||
_CoarseSolver(CoarseSolver),
|
||||
_CoarseSolverPrecise(CoarseSolverPrecise),
|
||||
_Aggregates(Aggregates)
|
||||
{
|
||||
coarsegrid = Aggregates.CoarseGrid;
|
||||
grid = Aggregates.FineGrid;
|
||||
};
|
||||
|
||||
void Inflexible(Field &src,Field &psi)
|
||||
{
|
||||
Field resid(grid);
|
||||
RealD f;
|
||||
RealD rtzp,rtz,a,d,b;
|
||||
RealD rptzp;
|
||||
|
||||
Field x(grid);
|
||||
Field p(grid);
|
||||
Field z(grid);
|
||||
Field tmp(grid);
|
||||
Field mmp(grid);
|
||||
Field r (grid);
|
||||
Field mu (grid);
|
||||
Field rp (grid);
|
||||
|
||||
//Initial residual computation & set up
|
||||
RealD guess = norm2(psi);
|
||||
double tn;
|
||||
|
||||
//////////////////////////
|
||||
// x0 = Vstart -- possibly modify guess
|
||||
//////////////////////////
|
||||
x=Zero();
|
||||
Vstart(x,src);
|
||||
|
||||
// r0 = b -A x0
|
||||
_FineLinop.HermOp(x,mmp);
|
||||
|
||||
axpy(r, -1.0, mmp, src); // Recomputes r=src-x0
|
||||
rp=r;
|
||||
|
||||
//////////////////////////////////
|
||||
// Compute z = M1 x
|
||||
//////////////////////////////////
|
||||
PcgM1(r,z);
|
||||
rtzp =real(innerProduct(r,z));
|
||||
|
||||
///////////////////////////////////////
|
||||
// Except Def2, M2 is trivial
|
||||
///////////////////////////////////////
|
||||
p=z;
|
||||
|
||||
RealD ssq = norm2(src);
|
||||
RealD rsq = ssq*Tolerance*Tolerance;
|
||||
|
||||
std::cout<<GridLogMessage<<"HDCG: k=0 residual "<<rtzp<<" target rsq "<<rsq<<" ssq "<<ssq<<std::endl;
|
||||
|
||||
for (int k=1;k<=MaxIterations;k++){
|
||||
|
||||
rtz=rtzp;
|
||||
d= PcgM3(p,mmp);
|
||||
a = rtz/d;
|
||||
|
||||
axpy(x,a,p,x);
|
||||
RealD rn = axpy_norm(r,-a,mmp,r);
|
||||
|
||||
PcgM1(r,z);
|
||||
|
||||
rtzp =real(innerProduct(r,z));
|
||||
|
||||
int ipcg=1; // almost free inexact preconditioned CG
|
||||
if (ipcg) {
|
||||
rptzp =real(innerProduct(rp,z));
|
||||
} else {
|
||||
rptzp =0;
|
||||
}
|
||||
b = (rtzp-rptzp)/rtz;
|
||||
|
||||
PcgM2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
|
||||
|
||||
axpy(p,b,p,mu); // mu = A r
|
||||
|
||||
RealD rrn=sqrt(rn/ssq);
|
||||
RealD rtn=sqrt(rtz/ssq);
|
||||
std::cout<<GridLogMessage<<"HDCG: Pcg k= "<<k<<" residual = "<<rrn<<std::endl;
|
||||
|
||||
if ( ipcg ) {
|
||||
axpy(rp,0.0,r,r);
|
||||
}
|
||||
|
||||
// Stopping condition
|
||||
if ( rn <= rsq ) {
|
||||
|
||||
std::cout<<GridLogMessage<<"HDCG: Pcg converged in "<<k<<" iterations"<<std::endl;;
|
||||
|
||||
_FineLinop.HermOp(x,mmp);
|
||||
axpy(tmp,-1.0,src,mmp);
|
||||
|
||||
RealD mmpnorm = sqrt(norm2(mmp));
|
||||
RealD psinorm = sqrt(norm2(x));
|
||||
RealD srcnorm = sqrt(norm2(src));
|
||||
RealD tmpnorm = sqrt(norm2(tmp));
|
||||
RealD true_residual = tmpnorm/srcnorm;
|
||||
std::cout<<GridLogMessage<<"HDCG: true residual is "<<true_residual
|
||||
<<" solution "<<psinorm<<" source "<<srcnorm<<std::endl;
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
}
|
||||
std::cout << "HDCG: Pcg not converged"<<std::endl;
|
||||
return ;
|
||||
}
|
||||
|
||||
// The Pcg routine is common to all, but the various matrices differ from derived
|
||||
// implementation to derived implmentation
|
||||
void operator() (const Field &src, Field &psi){
|
||||
void operator() (const Field &src, Field &psi){
|
||||
|
||||
psi.Checkerboard() = src.Checkerboard();
|
||||
@ -108,7 +211,7 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
std::vector<Field> mmp(mmax,grid);
|
||||
std::vector<RealD> pAp(mmax);
|
||||
|
||||
Field x (grid); x = psi;
|
||||
Field x (grid);
|
||||
Field z (grid);
|
||||
Field tmp(grid);
|
||||
Field r (grid);
|
||||
@ -117,25 +220,23 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
//////////////////////////
|
||||
// x0 = Vstart -- possibly modify guess
|
||||
//////////////////////////
|
||||
x=src;
|
||||
x=Zero();
|
||||
Vstart(x,src);
|
||||
|
||||
// r0 = b -A x0
|
||||
HermOp(x,mmp); // Shouldn't this be something else?
|
||||
_FineLinop.HermOp(x,mmp[0]); // Fine operator
|
||||
axpy (r, -1.0,mmp[0], src); // Recomputes r=src-Ax0
|
||||
|
||||
//////////////////////////////////
|
||||
// Compute z = M1 x
|
||||
// Compute z = M1 r
|
||||
//////////////////////////////////
|
||||
M1(r,z,tmp,mp,SmootherMirs);
|
||||
PcgM1(r,z);
|
||||
rtzp =real(innerProduct(r,z));
|
||||
|
||||
///////////////////////////////////////
|
||||
// Solve for Mss mu = P A z and set p = z-mu
|
||||
// Def2: p = 1 - Q Az = Pright z
|
||||
// Other algos M2 is trivial
|
||||
///////////////////////////////////////
|
||||
M2(z,p[0]);
|
||||
PcgM2(z,p[0]);
|
||||
|
||||
for (int k=0;k<=MaxIterations;k++){
|
||||
|
||||
@ -143,26 +244,38 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
int peri_kp = (k+1) % mmax;
|
||||
|
||||
rtz=rtzp;
|
||||
d= M3(p[peri_k],mp,mmp[peri_k],tmp);
|
||||
d= PcgM3(p[peri_k],mmp[peri_k]);
|
||||
a = rtz/d;
|
||||
|
||||
// Memorise this
|
||||
pAp[peri_k] = d;
|
||||
std::cout << GridLogMessage << " pCG d "<< d<<std::endl;
|
||||
|
||||
axpy(x,a,p[peri_k],x);
|
||||
// std::cout << GridLogMessage << " pCG x "<< norm2(x)<<std::endl;
|
||||
RealD rn = axpy_norm(r,-a,mmp[peri_k],r);
|
||||
|
||||
std::cout << GridLogMessage << " pCG rn "<< rn<<std::endl;
|
||||
|
||||
// Compute z = M x
|
||||
M1(r,z,tmp,mp);
|
||||
PcgM1(r,z);
|
||||
// std::cout << GridLogMessage << " pCG z "<< norm2(z)<<std::endl;
|
||||
|
||||
rtzp =real(innerProduct(r,z));
|
||||
std::cout << GridLogMessage << " pCG rtzp "<<rtzp<<std::endl;
|
||||
// std::cout << GridLogMessage << " pCG r "<<norm2(r)<<std::endl;
|
||||
|
||||
M2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
|
||||
PcgM2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
|
||||
|
||||
p[peri_kp]=p[peri_k];
|
||||
// std::cout << GridLogMessage << " pCG mu "<<norm2(mu)<<std::endl;
|
||||
|
||||
p[peri_kp]=mu;
|
||||
|
||||
// Standard search direction p -> z + b p ; b =
|
||||
// std::cout << GridLogMessage << " pCG p[peri_kp] "<<norm2(p[peri_kp])<<std::endl;
|
||||
|
||||
// Standard search direction p -> z + b p
|
||||
b = (rtzp)/rtz;
|
||||
std::cout << GridLogMessage << " pCG b "<< b<<std::endl;
|
||||
|
||||
int northog;
|
||||
// northog = (peri_kp==0)?1:peri_kp; // This is the fCG(mmax) algorithm
|
||||
@ -174,6 +287,7 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
RealD beta = -pbApk/pAp[peri_back];
|
||||
axpy(p[peri_kp],beta,p[peri_back],p[peri_kp]);
|
||||
}
|
||||
// std::cout << GridLogMessage << " pCG p[peri_kp] orthog "<< norm2(p[peri_kp])<<std::endl;
|
||||
|
||||
RealD rrn=sqrt(rn/ssq);
|
||||
std::cout<<GridLogMessage<<"TwoLevelfPcg: k= "<<k<<" residual = "<<rrn<<std::endl;
|
||||
@ -181,7 +295,7 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
// Stopping condition
|
||||
if ( rn <= rsq ) {
|
||||
|
||||
HermOp(x,mmp); // Shouldn't this be something else?
|
||||
_FineLinop.HermOp(x,mmp[0]); // Shouldn't this be something else?
|
||||
axpy(tmp,-1.0,src,mmp[0]);
|
||||
|
||||
RealD psinorm = sqrt(norm2(x));
|
||||
@ -190,7 +304,7 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
RealD true_residual = tmpnorm/srcnorm;
|
||||
std::cout<<GridLogMessage<<"TwoLevelfPcg: true residual is "<<true_residual<<std::endl;
|
||||
std::cout<<GridLogMessage<<"TwoLevelfPcg: target residual was"<<Tolerance<<std::endl;
|
||||
return k;
|
||||
return;
|
||||
}
|
||||
}
|
||||
// Non-convergence
|
||||
@ -199,52 +313,42 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
|
||||
public:
|
||||
|
||||
virtual void M(Field & in,Field & out,Field & tmp) {
|
||||
|
||||
}
|
||||
|
||||
virtual void M1(Field & in, Field & out) {// the smoother
|
||||
|
||||
virtual void PcgM1(Field & in, Field & out)
|
||||
{
|
||||
// [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
|
||||
|
||||
Field tmp(grid);
|
||||
Field Min(grid);
|
||||
CoarseField PleftProj(coarsegrid);
|
||||
CoarseField PleftMss_proj(coarsegrid);
|
||||
|
||||
PcgM(in,Min); // Smoother call
|
||||
_Smoother(in,Min);
|
||||
|
||||
HermOp(Min,out);
|
||||
_FineLinop.HermOp(Min,out);
|
||||
axpy(tmp,-1.0,out,in); // tmp = in - A Min
|
||||
|
||||
ProjectToSubspace(tmp,PleftProj);
|
||||
ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
|
||||
PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]
|
||||
_Aggregates.ProjectToSubspace(PleftProj,tmp);
|
||||
_CoarseSolver(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
|
||||
_Aggregates.PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]
|
||||
|
||||
axpy(out,1.0,Min,tmp); // Min+tmp
|
||||
|
||||
}
|
||||
|
||||
virtual void M2(const Field & in, Field & out) {
|
||||
virtual void PcgM2(const Field & in, Field & out) {
|
||||
out=in;
|
||||
// Must override for Def2 only
|
||||
// case PcgDef2:
|
||||
// Pright(in,out);
|
||||
// break;
|
||||
}
|
||||
|
||||
virtual RealD M3(const Field & p, Field & mmp){
|
||||
double d,dd;
|
||||
HermOpAndNorm(p,mmp,d,dd);
|
||||
virtual RealD PcgM3(const Field & p, Field & mmp){
|
||||
RealD dd;
|
||||
_FineLinop.HermOp(p,mmp);
|
||||
ComplexD dot = innerProduct(p,mmp);
|
||||
dd=real(dot);
|
||||
return dd;
|
||||
// Must override for Def1 only
|
||||
// case PcgDef1:
|
||||
// d=linop_d->Mprec(p,mmp,tmp,0,1);// Dag no
|
||||
// linop_d->Mprec(mmp,mp,tmp,1);// Dag yes
|
||||
// Pleft(mp,mmp);
|
||||
// d=real(linop_d->inner(p,mmp));
|
||||
}
|
||||
|
||||
virtual void VstartDef2(Field & xconst Field & src){
|
||||
//case PcgDef2:
|
||||
//case PcgAdef2:
|
||||
//case PcgAdef2f:
|
||||
//case PcgV11f:
|
||||
virtual void Vstart(Field & x,const Field & src)
|
||||
{
|
||||
///////////////////////////////////
|
||||
// Choose x_0 such that
|
||||
// x_0 = guess + (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
|
||||
@ -258,140 +362,22 @@ class TwoLevelFlexiblePcg : public LinearFunction<Field>
|
||||
///////////////////////////////////
|
||||
Field r(grid);
|
||||
Field mmp(grid);
|
||||
|
||||
HermOp(x,mmp);
|
||||
axpy (r, -1.0, mmp, src); // r_{-1} = src - A x
|
||||
ProjectToSubspace(r,PleftProj);
|
||||
ApplyInverseCG(PleftProj,PleftMss_proj); // Ass^{-1} r_s
|
||||
PromoteFromSubspace(PleftMss_proj,mmp);
|
||||
x=x+mmp;
|
||||
CoarseField PleftProj(coarsegrid);
|
||||
CoarseField PleftMss_proj(coarsegrid);
|
||||
|
||||
}
|
||||
_Aggregates.ProjectToSubspace(PleftProj,src);
|
||||
_CoarseSolverPrecise(PleftProj,PleftMss_proj); // Ass^{-1} r_s
|
||||
_Aggregates.PromoteFromSubspace(PleftMss_proj,x);
|
||||
|
||||
virtual void Vstart(Field & x,const Field & src){
|
||||
return;
|
||||
}
|
||||
|
||||
/////////////////////////////////////////////////////////////////////
|
||||
// Only Def1 has non-trivial Vout. Override in Def1
|
||||
// Only Def1 has non-trivial Vout.
|
||||
/////////////////////////////////////////////////////////////////////
|
||||
virtual void Vout (Field & in, Field & out,Field & src){
|
||||
out = in;
|
||||
//case PcgDef1:
|
||||
// //Qb + PT x
|
||||
// ProjectToSubspace(src,PleftProj);
|
||||
// ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} r_s
|
||||
// PromoteFromSubspace(PleftMss_proj,tmp);
|
||||
//
|
||||
// Pright(in,out);
|
||||
//
|
||||
// linop_d->axpy(out,tmp,out,1.0);
|
||||
// break;
|
||||
}
|
||||
};
|
||||
|
||||
////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
// Pright and Pleft are common to all implementations
|
||||
////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
virtual void Pright(Field & in,Field & out){
|
||||
// P_R = [ 1 0 ]
|
||||
// [ -Mss^-1 Msb 0 ]
|
||||
Field in_sbar(grid);
|
||||
|
||||
ProjectToSubspace(in,PleftProj);
|
||||
PromoteFromSubspace(PleftProj,out);
|
||||
axpy(in_sbar,-1.0,out,in); // in_sbar = in - in_s
|
||||
|
||||
HermOp(in_sbar,out);
|
||||
ProjectToSubspace(out,PleftProj); // Mssbar in_sbar (project)
|
||||
|
||||
ApplyInverse (PleftProj,PleftMss_proj); // Mss^{-1} Mssbar
|
||||
PromoteFromSubspace(PleftMss_proj,out); //
|
||||
|
||||
axpy(out,-1.0,out,in_sbar); // in_sbar - Mss^{-1} Mssbar in_sbar
|
||||
}
|
||||
virtual void Pleft (Field & in,Field & out){
|
||||
// P_L = [ 1 -Mbs Mss^-1]
|
||||
// [ 0 0 ]
|
||||
Field in_sbar(grid);
|
||||
Field tmp2(grid);
|
||||
Field Mtmp(grid);
|
||||
|
||||
ProjectToSubspace(in,PleftProj);
|
||||
PromoteFromSubspace(PleftProj,out);
|
||||
axpy(in_sbar,-1.0,out,in); // in_sbar = in - in_s
|
||||
|
||||
ApplyInverse(PleftProj,PleftMss_proj); // Mss^{-1} in_s
|
||||
PromoteFromSubspace(PleftMss_proj,out);
|
||||
|
||||
HermOp(out,Mtmp);
|
||||
|
||||
ProjectToSubspace(Mtmp,PleftProj); // Msbar s Mss^{-1}
|
||||
PromoteFromSubspace(PleftProj,tmp2);
|
||||
|
||||
axpy(out,-1.0,tmp2,Mtmp);
|
||||
axpy(out,-1.0,out,in_sbar); // in_sbar - Msbars Mss^{-1} in_s
|
||||
}
|
||||
}
|
||||
|
||||
template<class Field>
|
||||
class TwoLevelFlexiblePcgADef2 : public TwoLevelFlexiblePcg<Field> {
|
||||
public:
|
||||
virtual void M(Field & in,Field & out,Field & tmp){
|
||||
|
||||
}
|
||||
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp){
|
||||
|
||||
}
|
||||
virtual void M2(Field & in, Field & out){
|
||||
|
||||
}
|
||||
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp){
|
||||
|
||||
}
|
||||
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp){
|
||||
|
||||
}
|
||||
}
|
||||
/*
|
||||
template<class Field>
|
||||
class TwoLevelFlexiblePcgAD : public TwoLevelFlexiblePcg<Field> {
|
||||
public:
|
||||
virtual void M(Field & in,Field & out,Field & tmp);
|
||||
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
|
||||
virtual void M2(Field & in, Field & out);
|
||||
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
|
||||
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
|
||||
}
|
||||
|
||||
template<class Field>
|
||||
class TwoLevelFlexiblePcgDef1 : public TwoLevelFlexiblePcg<Field> {
|
||||
public:
|
||||
virtual void M(Field & in,Field & out,Field & tmp);
|
||||
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
|
||||
virtual void M2(Field & in, Field & out);
|
||||
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
|
||||
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
|
||||
virtual void Vout (Field & in, Field & out,Field & src,Field & tmp);
|
||||
}
|
||||
|
||||
template<class Field>
|
||||
class TwoLevelFlexiblePcgDef2 : public TwoLevelFlexiblePcg<Field> {
|
||||
public:
|
||||
virtual void M(Field & in,Field & out,Field & tmp);
|
||||
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
|
||||
virtual void M2(Field & in, Field & out);
|
||||
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
|
||||
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
|
||||
}
|
||||
|
||||
template<class Field>
|
||||
class TwoLevelFlexiblePcgV11: public TwoLevelFlexiblePcg<Field> {
|
||||
public:
|
||||
virtual void M(Field & in,Field & out,Field & tmp);
|
||||
virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
|
||||
virtual void M2(Field & in, Field & out);
|
||||
virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
|
||||
virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
|
||||
}
|
||||
*/
|
||||
NAMESPACE_END(Grid);
|
||||
#endif
|
||||
|
@ -183,13 +183,13 @@ public:
|
||||
<< "\tTrue residual " << true_residual
|
||||
<< "\tTarget " << Tolerance << std::endl;
|
||||
|
||||
std::cout << GridLogMessage << "Time breakdown "<<std::endl;
|
||||
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogMessage << "\tInner " << InnerTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogMessage << "\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogPerformance << "Time breakdown "<<std::endl;
|
||||
std::cout << GridLogPerformance << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogPerformance << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogPerformance << "\tInner " << InnerTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogPerformance << "\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
|
||||
std::cout << GridLogPerformance << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
|
||||
|
||||
std::cout << GridLogDebug << "\tMobius flop rate " << DwfFlops/ usecs<< " Gflops " <<std::endl;
|
||||
|
||||
|
@ -33,7 +33,7 @@ NAMESPACE_BEGIN(Grid);
|
||||
///////////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
// Take a matrix and form an NE solver calling a Herm solver
|
||||
///////////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
template<class Field> class NormalEquations {
|
||||
template<class Field> class NormalEquations : public LinearFunction<Field>{
|
||||
private:
|
||||
SparseMatrixBase<Field> & _Matrix;
|
||||
OperatorFunction<Field> & _HermitianSolver;
|
||||
@ -60,7 +60,7 @@ public:
|
||||
}
|
||||
};
|
||||
|
||||
template<class Field> class HPDSolver {
|
||||
template<class Field> class HPDSolver : public LinearFunction<Field> {
|
||||
private:
|
||||
LinearOperatorBase<Field> & _Matrix;
|
||||
OperatorFunction<Field> & _HermitianSolver;
|
||||
@ -84,7 +84,7 @@ public:
|
||||
};
|
||||
|
||||
|
||||
template<class Field> class MdagMSolver {
|
||||
template<class Field> class MdagMSolver : public LinearFunction<Field> {
|
||||
private:
|
||||
SparseMatrixBase<Field> & _Matrix;
|
||||
OperatorFunction<Field> & _HermitianSolver;
|
||||
|
@ -20,7 +20,7 @@ template<class Field> class PowerMethod
|
||||
RealD evalMaxApprox = 0.0;
|
||||
auto src_n = src;
|
||||
auto tmp = src;
|
||||
const int _MAX_ITER_EST_ = 50;
|
||||
const int _MAX_ITER_EST_ = 100;
|
||||
|
||||
for (int i=0;i<_MAX_ITER_EST_;i++) {
|
||||
|
||||
|
@ -361,9 +361,14 @@ public:
|
||||
_bernoulli.resize(_vol,std::discrete_distribution<int32_t>{1,1});
|
||||
_uid.resize(_vol,std::uniform_int_distribution<uint32_t>() );
|
||||
}
|
||||
|
||||
template <class vobj,class distribution> inline void fill(Lattice<vobj> &l,std::vector<distribution> &dist){
|
||||
|
||||
template <class vobj,class distribution> inline void fill(Lattice<vobj> &l,std::vector<distribution> &dist)
|
||||
{
|
||||
if ( l.Grid()->_isCheckerBoarded ) {
|
||||
Lattice<vobj> tmp(_grid);
|
||||
fill(tmp,dist);
|
||||
pickCheckerboard(l.Checkerboard(),l,tmp);
|
||||
return;
|
||||
}
|
||||
typedef typename vobj::scalar_object scalar_object;
|
||||
typedef typename vobj::scalar_type scalar_type;
|
||||
typedef typename vobj::vector_type vector_type;
|
||||
|
@ -94,6 +94,13 @@ static constexpr int MaxDims = GRID_MAX_LATTICE_DIMENSION;
|
||||
|
||||
typedef AcceleratorVector<int,MaxDims> Coordinate;
|
||||
|
||||
template<class T,int _ndim>
|
||||
inline bool operator==(const AcceleratorVector<T,_ndim> &v,const AcceleratorVector<T,_ndim> &w)
|
||||
{
|
||||
if (v.size()!=w.size()) return false;
|
||||
for(int i=0;i<v.size();i++) if ( v[i]!=w[i] ) return false;
|
||||
return true;
|
||||
}
|
||||
template<class T,int _ndim>
|
||||
inline std::ostream & operator<<(std::ostream &os, const AcceleratorVector<T,_ndim> &v)
|
||||
{
|
||||
|
@ -37,6 +37,9 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
|
||||
///////////////////////
|
||||
// Tells little dirac op to use MdagM as the .Op()
|
||||
///////////////////////
|
||||
template<class Field>
|
||||
class HermOpAdaptor : public LinearOperatorBase<Field>
|
||||
{
|
||||
@ -56,84 +59,6 @@ public:
|
||||
void HermOp(const Field &in, Field &out){
|
||||
wrapped.HermOp(in,out);
|
||||
}
|
||||
|
||||
};
|
||||
|
||||
template<class Matrix,class Field>
|
||||
class PVdagMLinearOperator : public LinearOperatorBase<Field> {
|
||||
Matrix &_Mat;
|
||||
Matrix &_PV;
|
||||
public:
|
||||
PVdagMLinearOperator(Matrix &Mat,Matrix &PV): _Mat(Mat),_PV(PV){};
|
||||
|
||||
void OpDiag (const Field &in, Field &out) { assert(0); }
|
||||
void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
|
||||
void OpDirAll (const Field &in, std::vector<Field> &out){ assert(0); };
|
||||
void Op (const Field &in, Field &out){
|
||||
Field tmp(in.Grid());
|
||||
_Mat.M(in,tmp);
|
||||
_PV.Mdag(tmp,out);
|
||||
}
|
||||
void AdjOp (const Field &in, Field &out){
|
||||
Field tmp(in.Grid());
|
||||
_PV.M(tmp,out);
|
||||
_Mat.Mdag(in,tmp);
|
||||
}
|
||||
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
|
||||
void HermOp(const Field &in, Field &out){
|
||||
std::cout << "HermOp"<<std::endl;
|
||||
Field tmp(in.Grid());
|
||||
_Mat.M(in,tmp);
|
||||
_PV.Mdag(tmp,out);
|
||||
_PV.M(out,tmp);
|
||||
_Mat.Mdag(tmp,out);
|
||||
std::cout << "HermOp done "<<norm2(out)<<std::endl;
|
||||
|
||||
}
|
||||
};
|
||||
|
||||
template<class Field> class DumbOperator : public LinearOperatorBase<Field> {
|
||||
public:
|
||||
LatticeComplex scale;
|
||||
DumbOperator(GridBase *grid) : scale(grid)
|
||||
{
|
||||
scale = 0.0;
|
||||
LatticeComplex scalesft(grid);
|
||||
LatticeComplex scaletmp(grid);
|
||||
for(int d=0;d<4;d++){
|
||||
Lattice<iScalar<vInteger> > x(grid); LatticeCoordinate(x,d+1);
|
||||
LatticeCoordinate(scaletmp,d+1);
|
||||
scalesft = Cshift(scaletmp,d+1,1);
|
||||
scale = 100.0*scale + where( mod(x ,2)==(Integer)0, scalesft,scaletmp);
|
||||
}
|
||||
std::cout << " scale\n" << scale << std::endl;
|
||||
}
|
||||
// Support for coarsening to a multigrid
|
||||
void OpDiag (const Field &in, Field &out) {};
|
||||
void OpDir (const Field &in, Field &out,int dir,int disp){};
|
||||
void OpDirAll (const Field &in, std::vector<Field> &out) {};
|
||||
|
||||
void Op (const Field &in, Field &out){
|
||||
out = scale * in;
|
||||
}
|
||||
void AdjOp (const Field &in, Field &out){
|
||||
out = scale * in;
|
||||
}
|
||||
void HermOp(const Field &in, Field &out){
|
||||
double n1, n2;
|
||||
HermOpAndNorm(in,out,n1,n2);
|
||||
}
|
||||
void HermOpAndNorm(const Field &in, Field &out,double &n1,double &n2){
|
||||
ComplexD dot;
|
||||
|
||||
out = scale * in;
|
||||
|
||||
dot= innerProduct(in,out);
|
||||
n1=real(dot);
|
||||
|
||||
dot = innerProduct(out,out);
|
||||
n2=real(dot);
|
||||
}
|
||||
};
|
||||
|
||||
|
||||
@ -143,7 +68,9 @@ int main (int argc, char ** argv)
|
||||
|
||||
const int Ls=4;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
|
||||
GridDefaultSimd(Nd,vComplex::Nsimd()),
|
||||
GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
@ -154,7 +81,10 @@ int main (int argc, char ** argv)
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
clatt[d] = clatt[d]/2;
|
||||
}
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
||||
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt,
|
||||
GridDefaultSimd(Nd,vComplex::Nsimd()),
|
||||
GridDefaultMpi());;
|
||||
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
|
||||
|
||||
std::vector<int> seeds4({1,2,3,4});
|
||||
@ -170,19 +100,15 @@ int main (int argc, char ** argv)
|
||||
LatticeFermion tmp(FGrid);
|
||||
LatticeFermion err(FGrid);
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
//SU<Nc>::HotConfiguration(RNG4,Umu);
|
||||
SU<Nc>::ColdConfiguration(Umu);
|
||||
// auto U = peekLorentz(Umu,0);
|
||||
// Umu=Zero(); // Make operator local for now
|
||||
// pokeLorentz(Umu,U,0);
|
||||
SU<Nc>::HotConfiguration(RNG4,Umu);
|
||||
// Umu=Zero();
|
||||
|
||||
RealD mass=0.5;
|
||||
RealD mass=0.1;
|
||||
RealD M5=1.8;
|
||||
|
||||
DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
DomainWallFermionD Dpv(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
|
||||
|
||||
const int nbasis = 20;
|
||||
const int nbasis = 4;
|
||||
const int cb = 0 ;
|
||||
LatticeFermion prom(FGrid);
|
||||
|
||||
@ -190,40 +116,52 @@ int main (int argc, char ** argv)
|
||||
|
||||
std::cout<<GridLogMessage<<"Calling Aggregation class" <<std::endl;
|
||||
|
||||
// Possible tactics -- with zero gauge field, verify block locality of dirac op
|
||||
// Possible tactics -- with zero gauge field, take inner products
|
||||
|
||||
// Squared operator
|
||||
///////////////////////////////////////////////////////////
|
||||
// Squared operator is in HermOp
|
||||
///////////////////////////////////////////////////////////
|
||||
MdagMLinearOperator<DomainWallFermionD,LatticeFermion> HermDefOp(Ddwf);
|
||||
DumbOperator<LatticeFermion> Diagonal(FGrid);
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
|
||||
///////////////////////////////////////////////////
|
||||
// Random aggregation space
|
||||
///////////////////////////////////////////////////
|
||||
std::cout<<GridLogMessage << "Building random aggregation class"<< std::endl;
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace Aggregates(Coarse5d,FGrid,cb);
|
||||
Aggregates.CreateSubspaceRandom(RNG5);
|
||||
|
||||
std::cout<<GridLogMessage << "Called aggregation class"<< std::endl;
|
||||
///////////////////////////////////////////////////
|
||||
// Build little dirac op
|
||||
///////////////////////////////////////////////////
|
||||
std::cout<<GridLogMessage << "Building little Dirac operator"<< std::endl;
|
||||
|
||||
typedef GeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
NextToNearestStencilGeometry5D geom;
|
||||
NextToNearestStencilGeometry5D geom(Coarse5d);
|
||||
LittleDiracOperator LittleDiracOp(geom,FGrid,Coarse5d);
|
||||
LittleDiracOp.CoarsenOperator(HermDefOp,Aggregates);
|
||||
// LittleDiracOp.CoarsenOperator(Diagonal,Aggregates);
|
||||
LittleDiracOperator LittleDiracOpCol(geom,FGrid,Coarse5d);
|
||||
|
||||
std::cout<<GridLogMessage<<"Coarsened operator "<<std::endl;
|
||||
HermOpAdaptor<LatticeFermionD> HOA(HermDefOp);
|
||||
|
||||
int pp=16;
|
||||
// LittleDiracOpCol.CoarsenOperator(HOA,Aggregates);
|
||||
// std::cout << "LittleDiracOp old " << LittleDiracOpCol._A[pp]<<std::endl;
|
||||
LittleDiracOp.CoarsenOperatorColoured(HOA,Aggregates);
|
||||
// std::cout << "LittleDiracOp new " << LittleDiracOp._A[pp]<<std::endl;
|
||||
|
||||
///////////////////////////////////////////////////
|
||||
// Test the operator
|
||||
///////////////////////////////////////////////////
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
CoarseVector c_res_dag(Coarse5d);
|
||||
CoarseVector c_proj(Coarse5d);
|
||||
|
||||
subspace=Aggregates.subspace;
|
||||
|
||||
Complex one(1.0);
|
||||
c_src = one; // 1 in every element for vector 1.
|
||||
Coordinate coor(5,0);
|
||||
|
||||
std::cout << "c_src"<< c_src<< std::endl;
|
||||
// random(CRNG,c_src);
|
||||
c_src = 1.0;
|
||||
|
||||
blockPromote(c_src,err,subspace);
|
||||
|
||||
prom=Zero();
|
||||
@ -235,25 +173,23 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage<<"c_src "<<norm2(c_src)<<std::endl;
|
||||
std::cout<<GridLogMessage<<"prom "<<norm2(prom)<<std::endl;
|
||||
|
||||
// blockPick(Coarse5d,c_src,c_src,coor);
|
||||
// blockPromote(c_src,prom,subspace);
|
||||
|
||||
// Diagonal.HermOp(prom,tmp);
|
||||
HermDefOp.HermOp(prom,tmp);
|
||||
// HermDefOp.Op(prom,tmp);
|
||||
|
||||
blockProject(c_proj,tmp,subspace);
|
||||
std::cout<<GridLogMessage<<" Called Big Dirac Op "<<norm2(tmp)<<std::endl;
|
||||
|
||||
LittleDiracOp.M(c_src,c_res);
|
||||
std::cout<<GridLogMessage<<" Called Little Dirac Op c_src "<< norm2(c_src) << " c_res "<< norm2(c_res) <<std::endl;
|
||||
LittleDiracOp.Mdag(c_src,c_res_dag);
|
||||
|
||||
std::cout<<GridLogMessage<<"Little dop : "<<norm2(c_res)<<std::endl;
|
||||
std::cout<<GridLogMessage<<" Little "<< c_res<<std::endl;
|
||||
std::cout<<GridLogMessage<<"Little dop dag : "<<norm2(c_res_dag)<<std::endl;
|
||||
std::cout<<GridLogMessage<<"Big dop in subspace : "<<norm2(c_proj)<<std::endl;
|
||||
std::cout<<GridLogMessage<<" Big "<< c_proj<<std::endl;
|
||||
|
||||
c_proj = c_proj - c_res;
|
||||
std::cout<<GridLogMessage<<" ldop error: "<<norm2(c_proj)<<std::endl;
|
||||
std::cout<<GridLogMessage<<" error "<< c_proj<<std::endl;
|
||||
|
||||
c_res_dag = c_res_dag - c_res;
|
||||
std::cout<<GridLogMessage<<"Little dopDag - dop: "<<norm2(c_res_dag)<<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage << "Testing Hermiticity stochastically "<< std::endl;
|
||||
CoarseVector phi(Coarse5d);
|
||||
@ -267,8 +203,10 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage<<"Made randoms "<<norm2(phi)<<" " << norm2(chi)<<std::endl;
|
||||
|
||||
LittleDiracOp.M(phi,Aphi);
|
||||
|
||||
LittleDiracOp.Mdag(chi,Achi);
|
||||
std::cout<<GridLogMessage<<"Aphi "<<norm2(Aphi)<<" Adag chi" << norm2(Achi)<<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<<"Aphi "<<norm2(Aphi)<<" A chi" << norm2(Achi)<<std::endl;
|
||||
|
||||
ComplexD pAc = innerProduct(chi,Aphi);
|
||||
ComplexD cAp = innerProduct(phi,Achi);
|
||||
@ -276,7 +214,6 @@ int main (int argc, char ** argv)
|
||||
ComplexD pAp = innerProduct(phi,Aphi);
|
||||
|
||||
std::cout<<GridLogMessage<< "pAc "<<pAc<<" cAp "<< cAp<< " diff "<<pAc-adj(cAp)<<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<< "pAp "<<pAp<<" cAc "<< cAc<<"Should be real"<< std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<<"Testing linearity"<<std::endl;
|
||||
@ -295,35 +232,7 @@ int main (int argc, char ** argv)
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
|
||||
PVdagMLinearOperator<DomainWallFermionD,LatticeFermionD> PVdagM(Ddwf,Dpv);
|
||||
HermOpAdaptor<LatticeFermionD> HOA(PVdagM);
|
||||
|
||||
// Run power method on HOA??
|
||||
PowerMethod<LatticeFermion> PM; PM(HOA,src);
|
||||
|
||||
// Warning: This routine calls PVdagM.Op, not PVdagM.HermOp
|
||||
Subspace AggregatesPD(Coarse5d,FGrid,cb);
|
||||
AggregatesPD.CreateSubspaceChebyshev(RNG5,
|
||||
HOA,
|
||||
nbasis,
|
||||
5000.0,
|
||||
0.02,
|
||||
100,
|
||||
50,
|
||||
50,
|
||||
0.0);
|
||||
|
||||
LittleDiracOperator LittleDiracOpPV(geom,FGrid,Coarse5d);
|
||||
LittleDiracOpPV.CoarsenOperator(PVdagM,AggregatesPD);
|
||||
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage << "Done "<< std::endl;
|
||||
|
||||
Grid_finalize();
|
||||
return 0;
|
||||
}
|
||||
|
272
tests/debug/Test_general_coarse_hdcg.cc
Normal file
272
tests/debug/Test_general_coarse_hdcg.cc
Normal file
@ -0,0 +1,272 @@
|
||||
/*************************************************************************************
|
||||
|
||||
Grid physics library, www.github.com/paboyle/Grid
|
||||
|
||||
Source file: ./tests/Test_general_coarse_hdcg.cc
|
||||
|
||||
Copyright (C) 2023
|
||||
|
||||
Author: Peter Boyle <pboyle@bnl.gov>
|
||||
|
||||
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>
|
||||
#include <Grid/lattice/PaddedCell.h>
|
||||
#include <Grid/stencil/GeneralLocalStencil.h>
|
||||
#include <Grid/algorithms/GeneralCoarsenedMatrix.h>
|
||||
#include <Grid/algorithms/iterative/AdefGeneric.h>
|
||||
|
||||
using namespace std;
|
||||
using namespace Grid;
|
||||
|
||||
template<class Field> class TestSolver : public LinearFunction<Field> {
|
||||
public:
|
||||
TestSolver() {};
|
||||
void operator() (const Field &in, Field &out){ out = Zero(); }
|
||||
};
|
||||
|
||||
|
||||
RealD InverseApproximation(RealD x){
|
||||
return 1.0/x;
|
||||
}
|
||||
|
||||
// Want Op in CoarsenOp to call MatPcDagMatPc
|
||||
template<class Field>
|
||||
class HermOpAdaptor : public LinearOperatorBase<Field>
|
||||
{
|
||||
LinearOperatorBase<Field> & wrapped;
|
||||
public:
|
||||
HermOpAdaptor(LinearOperatorBase<Field> &wrapme) : wrapped(wrapme) {};
|
||||
void Op (const Field &in, Field &out) { wrapped.HermOp(in,out); }
|
||||
void HermOp(const Field &in, Field &out) { wrapped.HermOp(in,out); }
|
||||
void AdjOp (const Field &in, Field &out){ wrapped.HermOp(in,out); }
|
||||
void OpDiag (const Field &in, Field &out) { assert(0); }
|
||||
void OpDir (const Field &in, Field &out,int dir,int disp) { assert(0); }
|
||||
void OpDirAll (const Field &in, std::vector<Field> &out) { assert(0); };
|
||||
void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); }
|
||||
};
|
||||
template<class Field,class Matrix> class ChebyshevSmoother : public LinearFunction<Field>
|
||||
{
|
||||
public:
|
||||
using LinearFunction<Field>::operator();
|
||||
typedef LinearOperatorBase<Field> FineOperator;
|
||||
FineOperator & _SmootherOperator;
|
||||
Chebyshev<Field> Cheby;
|
||||
ChebyshevSmoother(RealD _lo,RealD _hi,int _ord, FineOperator &SmootherOperator) :
|
||||
_SmootherOperator(SmootherOperator),
|
||||
Cheby(_lo,_hi,_ord,InverseApproximation)
|
||||
{
|
||||
std::cout << GridLogMessage<<" Chebyshev smoother order "<<_ord<<" ["<<_lo<<","<<_hi<<"]"<<std::endl;
|
||||
};
|
||||
void operator() (const Field &in, Field &out)
|
||||
{
|
||||
Field tmp(in.Grid());
|
||||
tmp = in;
|
||||
Cheby(_SmootherOperator,tmp,out);
|
||||
}
|
||||
};
|
||||
|
||||
int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
const int Ls=16;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
|
||||
GridDefaultSimd(Nd,vComplex::Nsimd()),
|
||||
GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
|
||||
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
|
||||
|
||||
// Construct a coarsened grid with 4^4 cell
|
||||
Coordinate clatt = GridDefaultLatt();
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
clatt[d] = clatt[d]/4;
|
||||
}
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt,
|
||||
GridDefaultSimd(Nd,vComplex::Nsimd()),
|
||||
GridDefaultMpi());;
|
||||
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
|
||||
|
||||
///////////////////////// RNGs /////////////////////////////////
|
||||
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);
|
||||
|
||||
///////////////////////// Configuration /////////////////////////////////
|
||||
LatticeGaugeField Umu(UGrid);
|
||||
|
||||
FieldMetaData header;
|
||||
std::string file("ckpoint_lat.4000");
|
||||
NerscIO::readConfiguration(Umu,header,file);
|
||||
|
||||
//////////////////////// Fermion action //////////////////////////////////
|
||||
RealD mass=0.01;
|
||||
RealD M5=1.8;
|
||||
RealD b=1.5;
|
||||
RealD c=0.5;
|
||||
MobiusFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c);
|
||||
|
||||
SchurDiagMooeeOperator<MobiusFermionD, LatticeFermion> HermOpEO(Ddwf);
|
||||
|
||||
typedef HermOpAdaptor<LatticeFermionD> HermFineMatrix;
|
||||
HermFineMatrix FineHermOp(HermOpEO);
|
||||
|
||||
LatticeFermion result(FrbGrid); result=Zero();
|
||||
|
||||
LatticeFermion src(FrbGrid); random(RNG5,src);
|
||||
|
||||
// Run power method on FineHermOp
|
||||
PowerMethod<LatticeFermion> PM; PM(HermOpEO,src);
|
||||
|
||||
|
||||
////////////////////////////////////////////////////////////
|
||||
///////////// Coarse basis and Little Dirac Operator ///////
|
||||
////////////////////////////////////////////////////////////
|
||||
const int nbasis = 40;
|
||||
const int cb = 0 ;
|
||||
typedef GeneralCoarsenedMatrix<vSpinColourVector,vTComplex,nbasis> LittleDiracOperator;
|
||||
typedef LittleDiracOperator::CoarseVector CoarseVector;
|
||||
|
||||
NextToNextToNextToNearestStencilGeometry5D geom(Coarse5d);
|
||||
|
||||
// Warning: This routine calls PVdagM.Op, not PVdagM.HermOp
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace Aggregates(Coarse5d,FrbGrid,cb);
|
||||
Aggregates.CreateSubspaceChebyshev(RNG5,
|
||||
HermOpEO,
|
||||
nbasis,
|
||||
// 100.0,
|
||||
// 0.1, // Low pass is pretty high still -- 311 iters
|
||||
// 250.0,
|
||||
// 0.01, // subspace too low filter power wrong
|
||||
// 250.0,
|
||||
// 0.2, // slower
|
||||
95.0,
|
||||
// 0.05, // nbasis 12 - 311 -- wrong coarse inv
|
||||
// 0.05, // nbasis 12 - 154 -- right filt
|
||||
// 0.1, // nbasis 12 - 169 oops
|
||||
// 0.05, // nbasis 16 -- 127 iters
|
||||
// 0.03, // nbasis 16 -- 13-
|
||||
// 0.1, // nbasis 16 -- 142; sloppy solve
|
||||
0.1, // nbasis 24
|
||||
300);
|
||||
////////////////////////////////////////////////////////////
|
||||
// Need to check about red-black grid coarsening
|
||||
////////////////////////////////////////////////////////////
|
||||
LittleDiracOperator LittleDiracOp(geom,FrbGrid,Coarse5d);
|
||||
LittleDiracOp.CoarsenOperatorColoured(FineHermOp,Aggregates);
|
||||
|
||||
typedef HermitianLinearOperator<LittleDiracOperator,CoarseVector> HermMatrix;
|
||||
HermMatrix CoarseOp (LittleDiracOp);
|
||||
|
||||
//////////////////////////////////////////
|
||||
// Build a coarse lanczos
|
||||
//////////////////////////////////////////
|
||||
Chebyshev<CoarseVector> IRLCheby(0.02,50.0,71); // 1 iter
|
||||
FunctionHermOp<CoarseVector> IRLOpCheby(IRLCheby,CoarseOp);
|
||||
PlainHermOp<CoarseVector> IRLOp (CoarseOp);
|
||||
int Nk=64;
|
||||
int Nm=128;
|
||||
int Nstop=Nk;
|
||||
ImplicitlyRestartedLanczos<CoarseVector> IRL(IRLOpCheby,IRLOp,Nstop,Nk,Nm,1.0e-5,20);
|
||||
|
||||
int Nconv;
|
||||
std::vector<RealD> eval(Nm);
|
||||
std::vector<CoarseVector> evec(Nm,Coarse5d);
|
||||
CoarseVector c_src(Coarse5d); c_src=1.0;
|
||||
IRL.calc(eval,evec,c_src,Nconv);
|
||||
DeflatedGuesser<CoarseVector> DeflCoarseGuesser(evec,eval);
|
||||
|
||||
//////////////////////////////////////////
|
||||
// Build a coarse space solver
|
||||
//////////////////////////////////////////
|
||||
int maxit=20000;
|
||||
ConjugateGradient<CoarseVector> CG(1.0e-8,maxit,false);
|
||||
ConjugateGradient<LatticeFermionD> CGfine(1.0e-8,10000,false);
|
||||
ZeroGuesser<CoarseVector> CoarseZeroGuesser;
|
||||
|
||||
// HPDSolver<CoarseVector> HPDSolve(CoarseOp,CG,CoarseZeroGuesser);
|
||||
HPDSolver<CoarseVector> HPDSolve(CoarseOp,CG,DeflCoarseGuesser);
|
||||
|
||||
//////////////////////////////////////////
|
||||
// Build a smoother
|
||||
//////////////////////////////////////////
|
||||
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(10.0,100.0,10,FineHermOp); //499
|
||||
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(3.0,100.0,10,FineHermOp); //383
|
||||
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(1.0,100.0,10,FineHermOp); //328
|
||||
// std::vector<RealD> los({0.5,1.0,3.0}); // 147/142/146 nbasis 1
|
||||
// std::vector<RealD> los({1.0,2.0}); // Nbasis 24: 88,86 iterations
|
||||
// std::vector<RealD> los({2.0,4.0}); // Nbasis 32 == 52, iters
|
||||
// std::vector<RealD> los({2.0,4.0}); // Nbasis 40 == 36,36 iters
|
||||
|
||||
//
|
||||
// Turns approx 2700 iterations into 340 fine multiplies with Nbasis 40
|
||||
// Need to measure cost of coarse space.
|
||||
//
|
||||
// -- i) Reduce coarse residual -- 0.04
|
||||
// -- ii) Lanczos on coarse space -- done
|
||||
// -- iii) Possible 1 hop project and/or preconditioning it - easy - PrecCG it and
|
||||
// use a limited stencil. Reread BFM code to check on evecs / deflation strategy with prec
|
||||
//
|
||||
std::vector<RealD> los({3.0}); // Nbasis 40 == 36,36 iters
|
||||
std::vector<int> ords({7,8,10}); // Nbasis 40 == 40,38,36 iters (320,342,396 mults)
|
||||
|
||||
// Standard CG
|
||||
// result=Zero();
|
||||
// CGfine(HermOpEO, src, result);
|
||||
|
||||
for(int l=0;l<los.size();l++){
|
||||
|
||||
RealD lo = los[l];
|
||||
|
||||
for(int o=0;o<ords.size();o++){
|
||||
|
||||
ConjugateGradient<CoarseVector> CGsloppy(4.0e-2,maxit,false);
|
||||
HPDSolver<CoarseVector> HPDSolveSloppy(CoarseOp,CGsloppy,DeflCoarseGuesser);
|
||||
|
||||
// ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(lo,92,10,FineHermOp); // 36 best case
|
||||
ChebyshevSmoother<LatticeFermionD,HermFineMatrix > Smoother(lo,92,ords[o],FineHermOp); // 311
|
||||
|
||||
//////////////////////////////////////////
|
||||
// Build a HDCG solver
|
||||
//////////////////////////////////////////
|
||||
TwoLevelFlexiblePcg<LatticeFermion,CoarseVector,Subspace>
|
||||
HDCG(1.0e-8, 3000,
|
||||
FineHermOp,
|
||||
Smoother,
|
||||
HPDSolveSloppy,
|
||||
HPDSolve,
|
||||
Aggregates);
|
||||
|
||||
// result=Zero();
|
||||
// HDCG(src,result);
|
||||
|
||||
result=Zero();
|
||||
HDCG.Inflexible(src,result);
|
||||
}
|
||||
}
|
||||
|
||||
Grid_finalize();
|
||||
return 0;
|
||||
}
|
@ -1,4 +1,4 @@
|
||||
/*************************************************************************************
|
||||
/*************************************************************************************
|
||||
|
||||
Grid physics library, www.github.com/paboyle/Grid
|
||||
|
||||
@ -141,7 +141,7 @@ int main (int argc, char ** argv)
|
||||
{
|
||||
Grid_init(&argc,&argv);
|
||||
|
||||
const int Ls=16;
|
||||
const int Ls=2;
|
||||
|
||||
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(), GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());
|
||||
GridRedBlackCartesian * UrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
|
||||
@ -152,7 +152,7 @@ int main (int argc, char ** argv)
|
||||
// Construct a coarsened grid
|
||||
Coordinate clatt = GridDefaultLatt();
|
||||
for(int d=0;d<clatt.size();d++){
|
||||
clatt[d] = clatt[d]/2;
|
||||
clatt[d] = clatt[d]/4;
|
||||
}
|
||||
GridCartesian *Coarse4d = SpaceTimeGrid::makeFourDimGrid(clatt, GridDefaultSimd(Nd,vComplex::Nsimd()),GridDefaultMpi());;
|
||||
GridCartesian *Coarse5d = SpaceTimeGrid::makeFiveDimGrid(1,Coarse4d);
|
||||
@ -174,6 +174,7 @@ int main (int argc, char ** argv)
|
||||
FieldMetaData header;
|
||||
std::string file("ckpoint_lat.4000");
|
||||
NerscIO::readConfiguration(Umu,header,file);
|
||||
//Umu = 1.0;
|
||||
|
||||
RealD mass=0.5;
|
||||
RealD M5=1.8;
|
||||
@ -181,7 +182,7 @@ int main (int argc, char ** argv)
|
||||
DomainWallFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5);
|
||||
DomainWallFermionD Dpv(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0,M5);
|
||||
|
||||
const int nbasis = 20;
|
||||
const int nbasis = 1;
|
||||
const int cb = 0 ;
|
||||
LatticeFermion prom(FGrid);
|
||||
|
||||
@ -204,18 +205,59 @@ int main (int argc, char ** argv)
|
||||
typedef Aggregation<vSpinColourVector,vTComplex,nbasis> Subspace;
|
||||
Subspace AggregatesPD(Coarse5d,FGrid,cb);
|
||||
AggregatesPD.CreateSubspaceChebyshev(RNG5,
|
||||
HOA,
|
||||
nbasis,
|
||||
5000.0,
|
||||
0.02,
|
||||
100,
|
||||
50,
|
||||
50,
|
||||
0.0);
|
||||
HOA,
|
||||
nbasis,
|
||||
5000.0,
|
||||
0.02,
|
||||
100,
|
||||
50,
|
||||
50,
|
||||
0.0);
|
||||
|
||||
LittleDiracOperator LittleDiracOpPV(geom,FGrid,Coarse5d);
|
||||
LittleDiracOpPV.CoarsenOperator(PVdagM,AggregatesPD);
|
||||
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage<<"Testing coarsened operator "<<std::endl;
|
||||
|
||||
CoarseVector c_src (Coarse5d);
|
||||
CoarseVector c_res (Coarse5d);
|
||||
CoarseVector c_proj(Coarse5d);
|
||||
|
||||
std::vector<LatticeFermion> subspace(nbasis,FGrid);
|
||||
subspace=AggregatesPD.subspace;
|
||||
|
||||
Complex one(1.0);
|
||||
c_src = one; // 1 in every element for vector 1.
|
||||
blockPromote(c_src,err,subspace);
|
||||
|
||||
prom=Zero();
|
||||
for(int b=0;b<nbasis;b++){
|
||||
prom=prom+subspace[b];
|
||||
}
|
||||
err=err-prom;
|
||||
std::cout<<GridLogMessage<<"Promoted back from subspace: err "<<norm2(err)<<std::endl;
|
||||
std::cout<<GridLogMessage<<"c_src "<<norm2(c_src)<<std::endl;
|
||||
std::cout<<GridLogMessage<<"prom "<<norm2(prom)<<std::endl;
|
||||
|
||||
PVdagM.Op(prom,tmp);
|
||||
blockProject(c_proj,tmp,subspace);
|
||||
std::cout<<GridLogMessage<<" Called Big Dirac Op "<<norm2(tmp)<<std::endl;
|
||||
|
||||
LittleDiracOpPV.M(c_src,c_res);
|
||||
std::cout<<GridLogMessage<<" Called Little Dirac Op c_src "<< norm2(c_src) << " c_res "<< norm2(c_res) <<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<<"Little dop : "<<norm2(c_res)<<std::endl;
|
||||
// std::cout<<GridLogMessage<<" Little "<< c_res<<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<<"Big dop in subspace : "<<norm2(c_proj)<<std::endl;
|
||||
// std::cout<<GridLogMessage<<" Big "<< c_proj<<std::endl;
|
||||
c_proj = c_proj - c_res;
|
||||
std::cout<<GridLogMessage<<" ldop error: "<<norm2(c_proj)<<std::endl;
|
||||
// std::cout<<GridLogMessage<<" error "<< c_proj<<std::endl;
|
||||
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
std::cout<<GridLogMessage<<"*******************************************"<<std::endl;
|
||||
std::cout<<GridLogMessage<<std::endl;
|
||||
|
Loading…
Reference in New Issue
Block a user