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Merge pull request #16 from DanielRichtmann/feature/gpt-coarsenedmatrix
Enable checkerboard operations for CoarsenedMatrix
This commit is contained in:
Christoph Lehner
GitHub
@ -31,6 +31,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
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#ifndef GRID_ALGORITHM_COARSENED_MATRIX_H
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#define GRID_ALGORITHM_COARSENED_MATRIX_H
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#include <Grid/qcd/QCD.h> // needed for Dagger(Yes|No), Inverse(Yes|No)
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NAMESPACE_BEGIN(Grid);
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@ -59,12 +60,14 @@ inline void blockMaskedInnerProduct(Lattice<CComplex> &CoarseInner,
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class Geometry {
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public:
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int npoint;
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int base;
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std::vector<int> directions ;
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std::vector<int> displacements;
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std::vector<int> points_dagger;
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Geometry(int _d) {
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int base = (_d==5) ? 1:0;
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base = (_d==5) ? 1:0;
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// make coarse grid stencil for 4d , not 5d
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if ( _d==5 ) _d=4;
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@ -72,16 +75,51 @@ public:
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npoint = 2*_d+1;
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directions.resize(npoint);
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displacements.resize(npoint);
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points_dagger.resize(npoint);
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for(int d=0;d<_d;d++){
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directions[d ] = d+base;
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directions[d+_d] = d+base;
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displacements[d ] = +1;
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displacements[d+_d]= -1;
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points_dagger[d ] = d+_d;
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points_dagger[d+_d] = d;
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}
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directions [2*_d]=0;
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displacements[2*_d]=0;
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points_dagger[2*_d]=2*_d;
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}
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int point(int dir, int disp) {
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assert(disp == -1 || disp == 0 || disp == 1);
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assert(base+0 <= dir && dir < base+4);
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// directions faster index = new indexing
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// 4d (base = 0):
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// point 0 1 2 3 4 5 6 7 8
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// dir 0 1 2 3 0 1 2 3 0
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// disp +1 +1 +1 +1 -1 -1 -1 -1 0
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// 5d (base = 1):
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// point 0 1 2 3 4 5 6 7 8
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// dir 1 2 3 4 1 2 3 4 0
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// disp +1 +1 +1 +1 -1 -1 -1 -1 0
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// displacements faster index = old indexing
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// 4d (base = 0):
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// point 0 1 2 3 4 5 6 7 8
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// dir 0 0 1 1 2 2 3 3 0
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// disp +1 -1 +1 -1 +1 -1 +1 -1 0
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// 5d (base = 1):
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// point 0 1 2 3 4 5 6 7 8
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// dir 1 1 2 2 3 3 4 4 0
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// disp +1 -1 +1 -1 +1 -1 +1 -1 0
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if(dir == 0 and disp == 0)
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return 8;
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else // New indexing
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return (1 - disp) / 2 * 4 + dir - base;
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// else // Old indexing
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// return (4 * (dir - base) + 1 - disp) / 2;
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}
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};
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template<class Fobj,class CComplex,int nbasis>
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@ -258,7 +296,7 @@ public:
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// Fine Object == (per site) type of fine field
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// nbasis == number of deflation vectors
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template<class Fobj,class CComplex,int nbasis>
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class CoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
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class CoarsenedMatrix : public CheckerBoardedSparseMatrixBase<Lattice<iVector<CComplex,nbasis > > > {
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public:
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typedef iVector<CComplex,nbasis > siteVector;
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@ -270,16 +308,7 @@ public:
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typedef Lattice<Fobj > FineField;
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typedef CoarseVector FermionField;
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// enrich interface
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void Dhop(CoarseVector const& in, CoarseVector& out, int dag) { assert(0); }
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void DhopEO(CoarseVector const& in, CoarseVector& out, int dag) { assert(0); }
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void DhopOE(CoarseVector const& in, CoarseVector& out, int dag) { assert(0); }
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void Meooe(CoarseVector const& in, CoarseVector& out) { assert(0); }
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void MeooeDag(CoarseVector const& in, CoarseVector& out) { assert(0); }
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void Mooee(CoarseVector const& in, CoarseVector& out) { assert(0); }
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void MooeeDag(CoarseVector const& in, CoarseVector& out) { assert(0); }
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void MooeeInv(CoarseVector const& in, CoarseVector& out) { assert(0); }
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void MooeeInvDag(CoarseVector const& in, CoarseVector& out) { assert(0); }
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// enrich interface, use default implementation as in FermionOperator ///////
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void Dminus(CoarseVector const& in, CoarseVector& out) { out = in; }
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void DminusDag(CoarseVector const& in, CoarseVector& out) { out = in; }
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void ImportPhysicalFermionSource(CoarseVector const& input, CoarseVector& imported) { imported = input; }
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@ -292,21 +321,36 @@ public:
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////////////////////
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Geometry geom;
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GridBase * _grid;
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GridBase* _cbgrid;
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int hermitian;
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CartesianStencil<siteVector,siteVector,int> Stencil;
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CartesianStencil<siteVector,siteVector,int> StencilEven;
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CartesianStencil<siteVector,siteVector,int> StencilOdd;
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std::vector<CoarseMatrix> A;
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std::vector<CoarseMatrix> Aeven;
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std::vector<CoarseMatrix> Aodd;
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CoarseMatrix AselfInv;
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CoarseMatrix AselfInvEven;
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CoarseMatrix AselfInvOdd;
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Vector<RealD> dag_factor;
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///////////////////////
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// Interface
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///////////////////////
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GridBase * Grid(void) { return _grid; }; // this is all the linalg routines need to know
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GridBase * RedBlackGrid() { return _cbgrid; };
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int ConstEE() { return 0; }
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void M (const CoarseVector &in, CoarseVector &out)
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{
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conformable(_grid,in.Grid());
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conformable(in.Grid(),out.Grid());
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out.Checkerboard() = in.Checkerboard();
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SimpleCompressor<siteVector> compressor;
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@ -364,12 +408,72 @@ public:
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return M(in,out);
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} else {
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// corresponds to Galerkin coarsening
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CoarseVector tmp(Grid());
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G5C(tmp, in);
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M(tmp, out);
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G5C(out, out);
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return MdagNonHermitian(in, out);
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}
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};
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void MdagNonHermitian(const CoarseVector &in, CoarseVector &out)
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{
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conformable(_grid,in.Grid());
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conformable(in.Grid(),out.Grid());
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out.Checkerboard() = in.Checkerboard();
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SimpleCompressor<siteVector> compressor;
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Stencil.HaloExchange(in,compressor);
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autoView( in_v , in, AcceleratorRead);
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autoView( out_v , out, AcceleratorWrite);
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autoView( Stencil_v , Stencil, AcceleratorRead);
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auto& geom_v = geom;
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typedef LatticeView<Cobj> Aview;
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Vector<Aview> AcceleratorViewContainer;
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for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
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Aview *Aview_p = & AcceleratorViewContainer[0];
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const int Nsimd = CComplex::Nsimd();
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typedef decltype(coalescedRead(in_v[0])) calcVector;
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typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
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int osites=Grid()->oSites();
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Vector<int> points(geom.npoint, 0);
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for(int p=0; p<geom.npoint; p++)
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points[p] = geom.points_dagger[p];
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RealD* dag_factor_p = &dag_factor[0];
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accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
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int ss = sss/nbasis;
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int b = sss%nbasis;
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calcComplex res = Zero();
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calcVector nbr;
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int ptype;
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StencilEntry *SE;
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for(int p=0;p<geom_v.npoint;p++){
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int point = points[p];
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SE=Stencil_v.GetEntry(ptype,point,ss);
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if(SE->_is_local) {
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nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
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} else {
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nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
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}
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acceleratorSynchronise();
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for(int bb=0;bb<nbasis;bb++) {
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res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
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}
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}
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coalescedWrite(out_v[ss](b),res);
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});
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for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
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}
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void MdirComms(const CoarseVector &in)
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{
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SimpleCompressor<siteVector> compressor;
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@ -379,6 +483,7 @@ public:
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{
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conformable(_grid,in.Grid());
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conformable(_grid,out.Grid());
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out.Checkerboard() = in.Checkerboard();
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typedef LatticeView<Cobj> Aview;
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Vector<Aview> AcceleratorViewContainer;
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@ -434,34 +539,7 @@ public:
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this->MdirComms(in);
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int ndim = in.Grid()->Nd();
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//////////////
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// 4D action like wilson
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// 0+ => 0
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// 0- => 4
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// 1+ => 1
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// 1- => 5
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// etc..
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//////////////
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// 5D action like DWF
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// 1+ => 0
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// 1- => 4
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// 2+ => 1
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// 2- => 5
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// etc..
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auto point = [dir, disp, ndim](){
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if(dir == 0 and disp == 0)
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return 8;
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else if ( ndim==4 ) {
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return (1 - disp) / 2 * 4 + dir;
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} else {
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return (1 - disp) / 2 * 4 + dir - 1;
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}
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}();
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MdirCalc(in,out,point);
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MdirCalc(in,out,geom.point(dir,disp));
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};
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void Mdiag(const CoarseVector &in, CoarseVector &out)
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@ -470,17 +548,269 @@ public:
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MdirCalc(in, out, point); // No comms
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};
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void Mooee(const CoarseVector &in, CoarseVector &out) {
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MooeeInternal(in, out, DaggerNo, InverseNo);
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}
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void MooeeInv(const CoarseVector &in, CoarseVector &out) {
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MooeeInternal(in, out, DaggerNo, InverseYes);
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}
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void MooeeDag(const CoarseVector &in, CoarseVector &out) {
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MooeeInternal(in, out, DaggerYes, InverseNo);
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}
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void MooeeInvDag(const CoarseVector &in, CoarseVector &out) {
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MooeeInternal(in, out, DaggerYes, InverseYes);
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}
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void Meooe(const CoarseVector &in, CoarseVector &out) {
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if(in.Checkerboard() == Odd) {
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DhopEO(in, out, DaggerNo);
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} else {
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DhopOE(in, out, DaggerNo);
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}
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}
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void MeooeDag(const CoarseVector &in, CoarseVector &out) {
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if(in.Checkerboard() == Odd) {
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DhopEO(in, out, DaggerYes);
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} else {
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DhopOE(in, out, DaggerYes);
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}
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}
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void Dhop(const CoarseVector &in, CoarseVector &out, int dag) {
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conformable(in.Grid(), _grid); // verifies full grid
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conformable(in.Grid(), out.Grid());
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out.Checkerboard() = in.Checkerboard();
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DhopInternal(Stencil, A, in, out, dag);
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}
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void DhopOE(const CoarseVector &in, CoarseVector &out, int dag) {
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conformable(in.Grid(), _cbgrid); // verifies half grid
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conformable(in.Grid(), out.Grid()); // drops the cb check
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assert(in.Checkerboard() == Even);
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out.Checkerboard() = Odd;
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DhopInternal(StencilEven, Aodd, in, out, dag);
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}
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void DhopEO(const CoarseVector &in, CoarseVector &out, int dag) {
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conformable(in.Grid(), _cbgrid); // verifies half grid
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conformable(in.Grid(), out.Grid()); // drops the cb check
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assert(in.Checkerboard() == Odd);
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out.Checkerboard() = Even;
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DhopInternal(StencilOdd, Aeven, in, out, dag);
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}
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void MooeeInternal(const CoarseVector &in, CoarseVector &out, int dag, int inv) {
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out.Checkerboard() = in.Checkerboard();
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assert(in.Checkerboard() == Odd || in.Checkerboard() == Even);
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CoarseMatrix *Aself = nullptr;
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if(in.Grid()->_isCheckerBoarded) {
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if(in.Checkerboard() == Odd) {
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Aself = (inv) ? &AselfInvOdd : &Aodd[geom.npoint-1];
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DselfInternal(StencilOdd, *Aself, in, out, dag);
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} else {
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Aself = (inv) ? &AselfInvEven : &Aeven[geom.npoint-1];
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DselfInternal(StencilEven, *Aself, in, out, dag);
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}
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} else {
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Aself = (inv) ? &AselfInv : &A[geom.npoint-1];
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DselfInternal(Stencil, *Aself, in, out, dag);
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}
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assert(Aself != nullptr);
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}
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void DselfInternal(CartesianStencil<siteVector,siteVector,int> &st, CoarseMatrix &a,
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const CoarseVector &in, CoarseVector &out, int dag) {
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int point = geom.npoint-1;
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autoView( out_v, out, AcceleratorWrite);
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autoView( in_v, in, AcceleratorRead);
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autoView( st_v, st, AcceleratorRead);
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autoView( a_v, a, AcceleratorRead);
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const int Nsimd = CComplex::Nsimd();
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typedef decltype(coalescedRead(in_v[0])) calcVector;
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typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
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RealD* dag_factor_p = &dag_factor[0];
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if(dag) {
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accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
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int ss = sss/nbasis;
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int b = sss%nbasis;
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calcComplex res = Zero();
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calcVector nbr;
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int ptype;
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StencilEntry *SE;
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SE=st_v.GetEntry(ptype,point,ss);
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if(SE->_is_local) {
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nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
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} else {
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nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
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}
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acceleratorSynchronise();
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for(int bb=0;bb<nbasis;bb++) {
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res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(a_v[ss](b,bb))*nbr(bb);
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}
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coalescedWrite(out_v[ss](b),res);
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});
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} else {
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accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
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int ss = sss/nbasis;
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int b = sss%nbasis;
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calcComplex res = Zero();
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calcVector nbr;
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int ptype;
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StencilEntry *SE;
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SE=st_v.GetEntry(ptype,point,ss);
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if(SE->_is_local) {
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nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
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} else {
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nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
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}
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acceleratorSynchronise();
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for(int bb=0;bb<nbasis;bb++) {
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res = res + coalescedRead(a_v[ss](b,bb))*nbr(bb);
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}
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coalescedWrite(out_v[ss](b),res);
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});
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}
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}
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void DhopInternal(CartesianStencil<siteVector,siteVector,int> &st, std::vector<CoarseMatrix> &a,
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const CoarseVector &in, CoarseVector &out, int dag) {
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SimpleCompressor<siteVector> compressor;
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st.HaloExchange(in,compressor);
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autoView( in_v, in, AcceleratorRead);
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autoView( out_v, out, AcceleratorWrite);
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autoView( st_v , st, AcceleratorRead);
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typedef LatticeView<Cobj> Aview;
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// determine in what order we need the points
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int npoint = geom.npoint-1;
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Vector<int> points(npoint, 0);
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for(int p=0; p<npoint; p++)
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points[p] = (dag && !hermitian) ? geom.points_dagger[p] : p;
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Vector<Aview> AcceleratorViewContainer;
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for(int p=0;p<npoint;p++) AcceleratorViewContainer.push_back(a[p].View(AcceleratorRead));
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Aview *Aview_p = & AcceleratorViewContainer[0];
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const int Nsimd = CComplex::Nsimd();
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typedef decltype(coalescedRead(in_v[0])) calcVector;
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typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
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RealD* dag_factor_p = &dag_factor[0];
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if(dag) {
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accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
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int ss = sss/nbasis;
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int b = sss%nbasis;
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calcComplex res = Zero();
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calcVector nbr;
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int ptype;
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StencilEntry *SE;
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|
||||
for(int p=0;p<npoint;p++){
|
||||
int point = points[p];
|
||||
SE=st_v.GetEntry(ptype,point,ss);
|
||||
|
||||
if(SE->_is_local) {
|
||||
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
|
||||
} else {
|
||||
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
|
||||
}
|
||||
acceleratorSynchronise();
|
||||
|
||||
for(int bb=0;bb<nbasis;bb++) {
|
||||
res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
|
||||
}
|
||||
}
|
||||
coalescedWrite(out_v[ss](b),res);
|
||||
});
|
||||
} else {
|
||||
accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
|
||||
int ss = sss/nbasis;
|
||||
int b = sss%nbasis;
|
||||
calcComplex res = Zero();
|
||||
calcVector nbr;
|
||||
int ptype;
|
||||
StencilEntry *SE;
|
||||
|
||||
for(int p=0;p<npoint;p++){
|
||||
int point = points[p];
|
||||
SE=st_v.GetEntry(ptype,point,ss);
|
||||
|
||||
if(SE->_is_local) {
|
||||
nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
|
||||
} else {
|
||||
nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
|
||||
}
|
||||
acceleratorSynchronise();
|
||||
|
||||
for(int bb=0;bb<nbasis;bb++) {
|
||||
res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
|
||||
}
|
||||
}
|
||||
coalescedWrite(out_v[ss](b),res);
|
||||
});
|
||||
}
|
||||
|
||||
for(int p=0;p<npoint;p++) AcceleratorViewContainer[p].ViewClose();
|
||||
}
|
||||
|
||||
CoarsenedMatrix(GridCartesian &CoarseGrid, int hermitian_=0) :
|
||||
CoarsenedMatrix(GridCartesian &CoarseGrid, GridRedBlackCartesian &CoarseRBGrid, int hermitian_=0) :
|
||||
|
||||
_grid(&CoarseGrid),
|
||||
_cbgrid(&CoarseRBGrid),
|
||||
geom(CoarseGrid._ndimension),
|
||||
hermitian(hermitian_),
|
||||
Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements,0),
|
||||
A(geom.npoint,&CoarseGrid)
|
||||
StencilEven(&CoarseRBGrid,geom.npoint,Even,geom.directions,geom.displacements,0),
|
||||
StencilOdd(&CoarseRBGrid,geom.npoint,Odd,geom.directions,geom.displacements,0),
|
||||
A(geom.npoint,&CoarseGrid),
|
||||
Aeven(geom.npoint,&CoarseRBGrid),
|
||||
Aodd(geom.npoint,&CoarseRBGrid),
|
||||
AselfInv(&CoarseGrid),
|
||||
AselfInvEven(&CoarseRBGrid),
|
||||
AselfInvOdd(&CoarseRBGrid),
|
||||
dag_factor(nbasis*nbasis)
|
||||
{
|
||||
fillFactor();
|
||||
};
|
||||
|
||||
void fillFactor() {
|
||||
Eigen::MatrixXd dag_factor_eigen = Eigen::MatrixXd::Ones(nbasis, nbasis);
|
||||
if(!hermitian) {
|
||||
const int nb = nbasis/2;
|
||||
dag_factor_eigen.block(0,nb,nb,nb) *= -1.0;
|
||||
dag_factor_eigen.block(nb,0,nb,nb) *= -1.0;
|
||||
}
|
||||
|
||||
// GPU readable prefactor
|
||||
thread_for(i, nbasis*nbasis, {
|
||||
int j = i/nbasis;
|
||||
int k = i%nbasis;
|
||||
dag_factor[i] = dag_factor_eigen(j, k);
|
||||
});
|
||||
}
|
||||
|
||||
void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
|
||||
Aggregation<Fobj,CComplex,nbasis> & Subspace)
|
||||
{
|
||||
@ -629,6 +959,9 @@ public:
|
||||
std::cout << GridLogMessage << " ForceHermitian, new code "<<std::endl;
|
||||
ForceHermitian();
|
||||
}
|
||||
|
||||
InvertSelfStencilLink(); std::cout << GridLogMessage << "Coarse self link inverted" << std::endl;
|
||||
FillHalfCbs(); std::cout << GridLogMessage << "Coarse half checkerboards filled" << std::endl;
|
||||
}
|
||||
|
||||
void ForceHermitian(void) {
|
||||
@ -650,6 +983,50 @@ public:
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void InvertSelfStencilLink() {
|
||||
std::cout << GridLogDebug << "CoarsenedMatrix::InvertSelfStencilLink" << std::endl;
|
||||
int localVolume = Grid()->lSites();
|
||||
|
||||
typedef typename Cobj::scalar_object scalar_object;
|
||||
|
||||
autoView(Aself_v, A[geom.npoint-1], CpuRead);
|
||||
autoView(AselfInv_v, AselfInv, CpuWrite);
|
||||
thread_for(site, localVolume, { // NOTE: Not able to bring this to GPU because of Eigen + peek/poke
|
||||
Eigen::MatrixXcd selfLinkEigen = Eigen::MatrixXcd::Zero(nbasis, nbasis);
|
||||
Eigen::MatrixXcd selfLinkInvEigen = Eigen::MatrixXcd::Zero(nbasis, nbasis);
|
||||
|
||||
scalar_object selfLink = Zero();
|
||||
scalar_object selfLinkInv = Zero();
|
||||
|
||||
Coordinate lcoor;
|
||||
|
||||
Grid()->LocalIndexToLocalCoor(site, lcoor);
|
||||
peekLocalSite(selfLink, Aself_v, lcoor);
|
||||
|
||||
for (int i = 0; i < nbasis; ++i)
|
||||
for (int j = 0; j < nbasis; ++j)
|
||||
selfLinkEigen(i, j) = static_cast<ComplexD>(TensorRemove(selfLink(i, j)));
|
||||
|
||||
selfLinkInvEigen = selfLinkEigen.inverse();
|
||||
|
||||
for(int i = 0; i < nbasis; ++i)
|
||||
for(int j = 0; j < nbasis; ++j)
|
||||
selfLinkInv(i, j) = selfLinkInvEigen(i, j);
|
||||
|
||||
pokeLocalSite(selfLinkInv, AselfInv_v, lcoor);
|
||||
});
|
||||
}
|
||||
|
||||
void FillHalfCbs() {
|
||||
std::cout << GridLogDebug << "CoarsenedMatrix::FillHalfCbs" << std::endl;
|
||||
for(int p = 0; p < geom.npoint; ++p) {
|
||||
pickCheckerboard(Even, Aeven[p], A[p]);
|
||||
pickCheckerboard(Odd, Aodd[p], A[p]);
|
||||
}
|
||||
pickCheckerboard(Even, AselfInvEven, AselfInv);
|
||||
pickCheckerboard(Odd, AselfInvOdd, AselfInv);
|
||||
}
|
||||
};
|
||||
|
||||
NAMESPACE_END(Grid);
|
||||
|
||||
Reference in New Issue
Block a user