/************************************************************************************* Grid physics library, www.github.com/paboyle/Grid Source file: ./examples/Example_pvdagm_v2_3level_DenseCoarseMatrix.cc Copyright (C) 2026 Author: Peter Boyle 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 */ // // PVdagM three level multigrid on the V2 coarse operator. // // STAGES ONE AND TWO: grids, types, subspace, and the L1 and L2 coarsenings. // The dense bottom and the solves are not here yet. // // Differences from Example_pvdagm_mrhs_3level_DenseCoarseMatrix.cc: // // * The coarse space is UNVECTORISED (sComplexD). The fine space stays // vectorised. MultiRHSBlockProject carries the mixed layout. // // * One operator, not two. V1 needed GeneralCoarsenedMatrix to coarsen and // MultiGeneralCoarsenedMatrix to apply, bridged by CopyMatrix. V2 does // both, and single versus multiRHS is SetGrid on the same object with the // matrix elements built once. // // * Nrhs is unconstrained. V1 required nrhs % vComplex::Nsimd() == 0 because // its multiRHS grid carried the SIMD in the rhs direction. // // * CoarsenOperator takes the subspace vectors, not an Aggregation. It block // orthonormalises them IN PLACE -- the vectors are far too large to copy // defensively -- so rawNull is taken first and the RAW vectors are what // define the L2 null space. Do not insert an Orthogonalise() anywhere: // projecting a block-orthonormal vector onto its own block-orthonormalised // aggregation gives e_k, and the near null content is silently gone. The // || - I||_F guard below is what catches that. // // Env: LATT LS MASS NBASIS(compile time) NRHS BLOCK BLOCK2 COARSEN_BATCH // HOT_START CONFIG SUBSPACE_FILE V1_CHECK MRHS_COARSEN // #include #include #include #include #include #include using namespace std; using namespace Grid; // Compile time so it can be cut down for laptop runs: -DNBASIS=8 #ifndef NBASIS #define NBASIS 60 #endif RealD mass = 0.00078; int Nrhs = 12; int Ls = 24; int CoarsenBatch = 9; std::vector lat_size({48,48,48,96}); // Solver tuning, values as in the V1 example RealD FineSmootherShift = 0.1; int FineSmootherOrder = 16; RealD CoarseSmootherShift = 0.1; int CoarseSmootherNstep = 4; RealD CoarseSolverTol = 0.03; int CoarseSolverOrder = 200; RealD OuterTol = 1.0e-8; int OuterMmax = 8; int OuterNstep = 8; void ParseEnvironment(void) { if(getenv("MASS")) mass = atof(getenv("MASS")); if(getenv("NRHS")) Nrhs = atoi(getenv("NRHS")); if(getenv("LS")) Ls = atoi(getenv("LS")); if(getenv("COARSEN_BATCH")) CoarsenBatch= atoi(getenv("COARSEN_BATCH")); if(getenv("FineSmootherShift")) FineSmootherShift = atof(getenv("FineSmootherShift")); if(getenv("FineSmootherOrder")) FineSmootherOrder = atoi(getenv("FineSmootherOrder")); if(getenv("CoarseSmootherShift"))CoarseSmootherShift= atof(getenv("CoarseSmootherShift")); if(getenv("CoarseSmootherNstep"))CoarseSmootherNstep= atoi(getenv("CoarseSmootherNstep")); if(getenv("CoarseSolverTol")) CoarseSolverTol = atof(getenv("CoarseSolverTol")); if(getenv("CoarseSolverOrder")) CoarseSolverOrder = atoi(getenv("CoarseSolverOrder")); if(getenv("OuterTol")) OuterTol = atof(getenv("OuterTol")); if(getenv("OuterMmax")) OuterMmax = atoi(getenv("OuterMmax")); if(getenv("OuterNstep")) OuterNstep = atoi(getenv("OuterNstep")); if(getenv("LATT")){ Coordinate l; GridCmdOptionIntVector(std::string(getenv("LATT")),l); GRID_ASSERT(l.size()==4); for(int d=0;d<4;d++) lat_size[d]=l[d]; } std::cout << GridLogMessage << "PARAM: LATT " << lat_size[0]<<"."< void saveSubspace(std::vector &subspace, std::string const fname){ #ifdef HAVE_LIME Grid::emptyUserRecord record; Grid::ScidacWriter SW(subspace[0].Grid()->IsBoss()); SW.open(fname); for (int k = 0; k < (int)subspace.size(); k++) SW.writeScidacFieldRecord(subspace[k], record); SW.close(); #endif } template void loadSubspace(std::vector &subspace, std::string const fname){ #ifdef HAVE_LIME Grid::emptyUserRecord record; Grid::ScidacReader SR; SR.open(fname); for (int k = 0; k < (int)subspace.size(); k++) SR.readScidacFieldRecord(subspace[k], record); SR.close(); #endif } ////////////////////////////////////////////////////////////////////// // A = PV^dag M (non-Hermitian) ////////////////////////////////////////////////////////////////////// template class PVdagMLinearOperator : public LinearOperatorBase { 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 &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(in,tmp); _Mat.Mdag(tmp,out); } void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ HermOp(in,out); ComplexD d=innerProduct(in,out); n1=real(d); n2=norm2(out); } void HermOp(const Field &in, Field &out){ Field tmp(in.Grid()); Op(in,tmp); AdjOp(tmp,out); } }; ////////////////////////////////////////////////////////////////////// // || - I||_F over a set of coarse vectors. Small means the raw near null // content survived the projection; see GramGuard for where a leak lands. ////////////////////////////////////////////////////////////////////// template RealD GramDefect(std::vector &v) { RealD s2=0.0; for(int i=0;i<(int)v.size();i++){ for(int j=0;j<(int)v.size();j++){ ComplexD sij=TensorRemove(innerProduct(v[i],v[j])); ComplexD d=sij-(i==j?ComplexD(1.0):ComplexD(0.0)); s2+=real(d)*real(d)+imag(d)*imag(d); } } return std::sqrt(s2); } // On a leak every image collapses to the block unit e_k, the Gram becomes // N*I, and the defect lands at (N-1)*sqrt(nbasis) -- orders above the ~0.2 // of a content preserving projection. Trip well below that so a mis-set // threshold costs a log line rather than the run. template void GramGuard(const std::string &name,std::vector &v,GridBase *grid) { RealD defect = GramDefect(v); RealD N = (RealD)grid->gSites(); RealD leak = (N-1.0)*std::sqrt((RealD)v.size()); RealD trip = std::sqrt(N); std::cout << GridLogMessage << "GUARD: ||<"< - I||_F = " << defect << " (e_k leak would be " << leak << ", trip at " << trip << ")" << std::endl; GRID_ASSERT( defect < trip ); } ////////////////////////////////////////////////////////////////////// // Shifted variants for the smoothers ////////////////////////////////////////////////////////////////////// template class ShiftedPVdagMLinearOperator : public LinearOperatorBase { Matrix &_Mat; Matrix &_PV; public: RealD shift; ShiftedPVdagMLinearOperator(RealD _shift,Matrix &Mat,Matrix &PV): shift(_shift),_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 &out){ assert(0); }; void Op (const Field &in, Field &out){ Field tmp(in.Grid()); _Mat.M(in,tmp); _PV.Mdag(tmp,out); out = out + shift*in; } void AdjOp (const Field &in, Field &out){ Field tmp(in.Grid()); _PV.M(tmp,out); _Mat.Mdag(in,tmp); out = out + shift*in; } void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); } void HermOp(const Field &in, Field &out){ Field tmp(in.Grid()); Op(in,tmp); AdjOp(tmp,out); } }; template class ShiftedLinearOperator : public LinearOperatorBase { LinearOperatorBase &_Op; RealD shift; public: ShiftedLinearOperator(RealD _shift, LinearOperatorBase &Op) : _Op(Op), shift(_shift) {} 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 &out) { assert(0); } void Op (const Field &in, Field &out) { _Op.Op(in,out); out = out + shift*in; } void AdjOp (const Field &in, Field &out) { _Op.AdjOp(in,out); out = out + shift*in; } void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){ assert(0); } void HermOp (const Field &in, Field &out) { Field tmp(in.Grid()); Op(in,tmp); AdjOp(tmp,out); } }; ////////////////////////////////////////////////////////////////////// // Dense L3 solve on the packed D+1 coarse-coarse field ////////////////////////////////////////////////////////////////////// template class MrhsDenseCCSolve : public LinearFunction { public: DenseType &_Dense; int _nrhs; MrhsDenseCCSolve(DenseType &D, int nrhs) : _Dense(D), _nrhs(nrhs) {} using LinearFunction::operator(); virtual void operator()(const CoarseCoarseField &in, CoarseCoarseField &out){ _Dense.ApplyBatch6D(in, out, _nrhs); } }; ////////////////////////////////////////////////////////////////////// // mrhs interfaces + single-polynomial mrhs PGCR ////////////////////////////////////////////////////////////////////// template class MrhsLinearFunction { public: virtual void operator()(std::vector &in, std::vector &out) = 0; }; template class MrhsPGCRNonHermitian { public: RealD Tolerance; Integer MaxIterations; int mmax,nstep,steps,level; int ZeroGuess = 0; int FirstCycle = 0; std::string name = "Level 1"; LinearOperatorBase &Linop; MrhsLinearFunction &Preconditioner; void Level(int lv){ name = "Level " + std::to_string(lv); level=lv; } void Name(std::string n){ name = n; } void SetZeroGuess(int z){ ZeroGuess=z; } MrhsPGCRNonHermitian(RealD tol,Integer maxit,LinearOperatorBase &_Linop,MrhsLinearFunction &Prec,int _mmax,int _nstep) : Tolerance(tol),MaxIterations(maxit),Linop(_Linop),Preconditioner(Prec),mmax(_mmax),nstep(_nstep){ level=1; } static RealD vnorm2(std::vector &x){ RealD s=0; for(auto &f:x) s+=norm2(f); return s; } static ComplexD vinnerProduct(std::vector &x,std::vector &y){ ComplexD s(0); for(int r=0;r<(int)x.size();r++) s+=innerProduct(x[r],y[r]); return s; } static void vaxpy(std::vector &z,ComplexD a,std::vector &x,std::vector &y){ for(int r=0;r<(int)z.size();r++) axpy(z[r],a,x[r],y[r]); } void vOp(std::vector &in,std::vector &out){ for(int r=0;r<(int)in.size();r++) Linop.Op(in[r],out[r]); } void operator()(std::vector &src,std::vector &psi){ RealD cp,ssq,rsq; int nrhs=src.size(); GridBase *grid=src[0].Grid(); ssq=vnorm2(src); rsq=Tolerance*Tolerance*ssq; std::vector r(nrhs,grid); GridStopWatch T; T.Start(); steps=0; FirstCycle=1; for(int k=0;k &src,std::vector &psi,RealD rsq){ RealD cp; ComplexD a,b,rq; RealD zAAz; int nrhs=src.size(); GridBase *grid=src[0].Grid(); std::vector r(nrhs,grid),z(nrhs,grid),Az(nrhs,grid); std::vector< std::vector > q(mmax,std::vector(nrhs,grid)); std::vector< std::vector > p(mmax,std::vector(nrhs,grid)); std::vector qq(mmax); if (ZeroGuess && FirstCycle) { for(int rr=0;rr(mmax-1))?(mmax-1):(kp); for(int back=0;back=0); b=-real(vinnerProduct(q[peri_back],Az))/qq[peri_back]; vaxpy(p[peri_kp],b,p[peri_back],p[peri_kp]); vaxpy(q[peri_kp],b,q[peri_back],q[peri_kp]); } qq[peri_kp]=vnorm2(q[peri_kp]); } GRID_ASSERT(0); return cp; } }; ////////////////////////////////////////////////////////////////////// // L2->L3 mrhs V-cycle on the D+1 coarse field ////////////////////////////////////////////////////////////////////// template class MrhsCoarseThreeLevelPrec : public LinearFunction { public: LinearOperatorBase &_CoarseOp; LinearFunction &_CoarseSmoother; MultiRHSBlockProject &_Projector; LinearFunction &_CoarseCoarseSolve; GridBase *_Coarse5d, *_CoarseCoarse5d, *_CoarseCoarseMrhs; int _nrhs; MrhsCoarseThreeLevelPrec(LinearOperatorBase &CoarseOp, LinearFunction &CoarseSmoother, MultiRHSBlockProject &Projector, LinearFunction &CoarseCoarseSolve, GridBase *Coarse5d, GridBase *CoarseCoarse5d, GridBase *CoarseCoarseMrhs, int nrhs) : _CoarseOp(CoarseOp), _CoarseSmoother(CoarseSmoother), _Projector(Projector), _CoarseCoarseSolve(CoarseCoarseSolve), _Coarse5d(Coarse5d), _CoarseCoarse5d(CoarseCoarse5d), _CoarseCoarseMrhs(CoarseCoarseMrhs), _nrhs(nrhs) {} using LinearFunction::operator(); virtual void operator()(const CoarseField &in, CoarseField &out) { int nrhs=_nrhs; CoarseField vec1(in.Grid()); CoarseField vec2(in.Grid()); out = in; _CoarseOp.Op(out,vec1); sub(vec1,in,vec1); // restrict, through the mixed blockProject: D+1 coarse in, D+1 cc out CoarseCoarseField CCsrc(_CoarseCoarseMrhs); CoarseCoarseField CCsol(_CoarseCoarseMrhs); _Projector.blockProject(vec1,CCsrc); CCsol=Zero(); _CoarseCoarseSolve(CCsrc,CCsol); _Projector.blockPromote(vec1,CCsol); add(out,out,vec1); _CoarseOp.Op(out,vec1); sub(vec1,in,vec1); vec2=Zero(); _CoarseSmoother(vec1,vec2); add(out,out,vec2); } }; ////////////////////////////////////////////////////////////////////// // L1->L2 mrhs V-cycle ////////////////////////////////////////////////////////////////////// template class MrhsTwoLevelMG : public MrhsLinearFunction { public: typedef MrhsCoarseVector CoarseVector; LinearOperatorBase &_FineOperator; FineSmoother &_PostSmoother; MultiRHSBlockProject &_Projector; LinearFunction &_CoarseSolve; GridBase *_CoarseGrid, *_CoarseGridMrhs; MrhsTwoLevelMG(LinearOperatorBase &FineOp, FineSmoother &Post, MultiRHSBlockProject &Projector, LinearFunction &CoarseSolve, GridBase *CoarseGrid, GridBase *CoarseGridMrhs) : _FineOperator(FineOp),_PostSmoother(Post),_Projector(Projector),_CoarseSolve(CoarseSolve), _CoarseGrid(CoarseGrid),_CoarseGridMrhs(CoarseGridMrhs){} virtual void operator()(std::vector &in, std::vector &out){ int nrhs=in.size(); GridBase *fgrid=in[0].Grid(); std::vector vec1(nrhs,fgrid),vec2(nrhs,fgrid); for(int r=0;r D+1 coarse, via the mixed blockProject CoarseVector CsrcMrhs(_CoarseGridMrhs), CsolMrhs(_CoarseGridMrhs); _Projector.blockProject(vec1,CsrcMrhs); CsolMrhs=Zero(); _CoarseSolve(CsrcMrhs,CsolMrhs); _Projector.blockPromote(vec1,CsolMrhs); for(int r=0;rNsimd() << " coarse " << Coarse5d->Nsimd() << std::endl; GridParallelRNG RNG4(UGrid); RNG4.SeedFixedIntegers({1,2,3,4}); GridParallelRNG RNG5(FGrid); RNG5.SeedFixedIntegers({5,6,7,8}); ////////////////////////////////////////////////////////////////////// // Gauge field ////////////////////////////////////////////////////////////////////// LatticeGaugeField Umu(UGrid); if ( getenv("HOT_START") ) { std::cout << GridLogMessage << "Hot start gauge field" << std::endl; SU::HotConfiguration(RNG4,Umu); } else { std::string file("/ccs/home/poare/ckpoint_lat.1000"); if ( getenv("CONFIG") ) file = std::string(getenv("CONFIG")); std::cout << GridLogMessage << "Reading gauge field " << file << std::endl; FieldMetaData header; NerscIO::readConfiguration(Umu,header,file); } MobiusFermionD Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,mass,M5,b,c); MobiusFermionD Dpv (Umu,*FGrid,*FrbGrid,*UGrid,*UrbGrid,1.0, M5,b,c); typedef PVdagMLinearOperator PVdagM_t; typedef ShiftedPVdagMLinearOperator ShiftedPVdagM_t; PVdagM_t PVdagM(Ddwf,Dpv); ////////////////////////////////////////////////////////////////////// // Level 1 types: unvectorised coarse scalar ////////////////////////////////////////////////////////////////////// typedef sTComplexD CComplexS; typedef MultiGeneralCoarsenedOperatorV2 CoarseOperator; typedef CoarseOperator::CoarseVector CoarseVector; typedef Aggregation Subspace; NextToNearestStencilGeometry5D geom(Coarse5d); ////////////////////////////////////////////////////////////////////// // Subspace: load RAW (no Orthogonalise!), or generate. // // The Aggregation is scaffolding for CreateSubspaceGCR only. That runs // entirely on the fine grid and ends in GlobalOrthonormalise, which is a // whole-lattice Gram-Schmidt, so the coarse grid it holds is never // dereferenced and may be the unvectorised one. ////////////////////////////////////////////////////////////////////// std::string subspace_file = "subspace_nb" + std::to_string(nbasis) + ".scidac"; if ( getenv("SUBSPACE_FILE") ) subspace_file = std::string(getenv("SUBSPACE_FILE")); uint64_t file_exists=0; if ( UGrid->IsBoss() ){ std::ifstream f(subspace_file); file_exists=f.good()?1:0; } UGrid->GlobalSum(file_exists); const int cb=0; Subspace AggregatesGCR(Coarse5d,FGrid,cb); if ( file_exists ){ std::cout << GridLogMessage << "*** Loading subspace from disk (kept RAW) ***" << std::endl; loadSubspace(AggregatesGCR.subspace, subspace_file); } else { std::cout << GridLogMessage << "*** GCR subspace generation ***" << std::endl; AggregatesGCR.CreateSubspaceGCR(RNG5,PVdagM,nbasis); saveSubspace(AggregatesGCR.subspace, subspace_file); } // RAW copy BEFORE CoarsenOperator block-orthonormalises in place. std::vector rawNull(nbasis,FGrid); for(int k=0;k MrhsPVdagM(PVdagM,FGrid,batch); CoarseOpPV.CoarsenOperator(MrhsPVdagM,FineMrhs,AggregatesGCR.subspace,Coarse5d); } else { // PVdagM is single RHS: apply it directly, batch on the coarse side. CoarseOpPV.CoarsenOperator(PVdagM,AggregatesGCR.subspace,Coarse5d,batch); } // Stay on the batch grid: the L2 coarsening drives this operator at the // batch. It is switched to the solve Nrhs once L2 is built. ////////////////////////////////////////////////////////////////////// // psi_coarse = P^dag (RAW fine null) -> Galerkin images that carry the // near null content, and are free: A_c (P psi) = P A psi. ////////////////////////////////////////////////////////////////////// MultiRHSBlockProject MrhsProjector; MrhsProjector.Allocate(nbasis,FGrid,Coarse5d); MrhsProjector.ImportBasis(AggregatesGCR.subspace); // block orthonormal basis std::vector psi_coarse(nbasis,Coarse5d); MrhsProjector.blockProject(rawNull,psi_coarse); // RAW vectors in rawNull.clear(); rawNull.shrink_to_fit(); GramGuard("psi_coarse",psi_coarse,Coarse5d); ////////////////////////////////////////////////////////////////////// // Optional cross check of the coarse matrix elements against the V1 // path, which needs a vectorised coarse space. Block Gram-Schmidt is // idempotent, so V1 may re-orthonormalise the same vectors in place // without a second copy of the subspace. ////////////////////////////////////////////////////////////////////// if ( getenv("V1_CHECK") ) { typedef GeneralCoarsenedMatrix LittleDiracOperator; typedef MultiGeneralCoarsenedMatrix MrhsLittleDiracOperator; typedef Aggregation SubspaceV; Coordinate v5latt({1,clatt[0],clatt[1],clatt[2],clatt[3]}); Coordinate v5simd({1,fsimd[0],fsimd[1],fsimd[2],fsimd[3]}); GridCartesian *Coarse5dV = new GridCartesian(v5latt,v5simd,c5mpi); int nrhs_v1 = vComplex::Nsimd(); Coordinate vmlatt({nrhs_v1,1,clatt[0],clatt[1],clatt[2],clatt[3]}); Coordinate vmsimd({vComplex::Nsimd(),1,1,1,1,1}); GridCartesian *CoarseMrhsV = new GridCartesian(vmlatt,vmsimd,cmmpi); NextToNearestStencilGeometry5D geomV(Coarse5dV); SubspaceV AggV(Coarse5dV,FGrid,cb); for(int k=0;k h1(sites),h2(sites); acceleratorCopyFromDevice(&mrhsV1.BLAS_A[p][0], &h1[0],sites*sizeof(calcMatrix)); acceleratorCopyFromDevice(&CoarseOpPV.BLAS_A[p][0],&h2[0],sites*sizeof(calcMatrix)); ComplexD *w1=(ComplexD *)&h1[0]; ComplexD *w2=(ComplexD *)&h2[0]; int64_t words = sites*sizeof(calcMatrix)/sizeof(ComplexD); for(int64_t i=0;i CComplexS2; typedef MultiGeneralCoarsenedOperatorV2 CoarseCoarseOperator; typedef CoarseCoarseOperator::CoarseVector CoarseCoarseVector; NextToNearestStencilGeometry5D geom2(CoarseCoarse5d); // RAW copy of the coarse null vectors, for the same reason as rawNull: // the L2 CoarsenOperator block-orthonormalises its subspace in place, and // the L3 basis must be defined by the vectors that still carry content. std::vector rawPsi(nbasis,Coarse5d); for(int k=0;k LinOpCoarse(CoarseOpPV); std::cout << GridLogMessage << "*** L2 CoarsenOperator, batch "< MrhsProjectorL2; MrhsProjectorL2.Allocate(nbasis,Coarse5d,CoarseCoarse5d); MrhsProjectorL2.ImportBasis(psi_coarse); // block orthonormal basis { std::vector psi_cc(nbasis,CoarseCoarse5d); MrhsProjectorL2.blockProject(rawPsi,psi_cc); // RAW vectors in GramGuard("psi_cc",psi_cc,CoarseCoarse5d); } rawPsi.clear(); rawPsi.shrink_to_fit(); ////////////////////////////////////////////////////////////////////// // Both coarse operators apply on their solve grids ////////////////////////////////////////////////////////////////////// { GridParallelRNG cRNG(Coarse5d); cRNG.SeedFixedIntegers({3,4,5,6}); CoarseVector cin(CoarseMrhs), cout_(CoarseMrhs); random(cRNG,cin); CoarseOpPV.M(cin,cout_); std::cout << GridLogMessage << "L1 apply |in|^2 = " << norm2(cin) << " |M in|^2 = " << norm2(cout_) << std::endl; GRID_ASSERT( norm2(cout_) > 0.0 ); GridParallelRNG ccRNG(CoarseCoarse5d); ccRNG.SeedFixedIntegers({7,8,9,10}); CoarseCoarseVector ccin(CoarseCoarseMrhs), ccout(CoarseCoarseMrhs); random(ccRNG,ccin); CoarseOpL2.M(ccin,ccout); std::cout << GridLogMessage << "L2 apply |in|^2 = " << norm2(ccin) << " |M in|^2 = " << norm2(ccout) << std::endl; GRID_ASSERT( norm2(ccout) > 0.0 ); } ////////////////////////////////////////////////////////////////////// // STAGE THREE (part one): the dense bottom on L2. // // DenseCoarseMatrix is bilingual: it takes the elements through // Geometry()/ExtractMatrix(), so the V2 operator serves directly. It does // detect that a multiRHS op cannot apply on the D dimensional grid and // skips its own certificate and VERIFY, so the equivalent check is done // here instead, driving the L2 operator at Nrhs 1 through a slice. ////////////////////////////////////////////////////////////////////// typedef DenseCoarseMatrix DenseCC_t; std::unique_ptr DenseCC; if ( getenv("DENSE_CC")==nullptr || atoi(getenv("DENSE_CC")) ) { std::cout << GridLogMessage << "*** L3 dense bottom: import from the V2 L2 operator ***" << std::endl; DenseCC.reset(new DenseCC_t(CoarseCoarse5d)); DenseCC->Import(CoarseOpL2); //////////////////////////////////////////////////////////////////// // ||A Ainv x - x|| / ||x||, the check Import could not run itself //////////////////////////////////////////////////////////////////// Coordinate cc1latt({1,1,cclatt[0],cclatt[1],cclatt[2],cclatt[3]}); GridCartesian *CoarseCoarseOne = new GridCartesian(cc1latt,cmsimd,cmmpi); CoarseOpL2.SetGrid(CoarseCoarseOne); CoarseCoarseVector x(CoarseCoarse5d),y(CoarseCoarse5d),z(CoarseCoarse5d); GridParallelRNG dRNG(CoarseCoarse5d); dRNG.SeedFixedIntegers({11,12,13,14}); random(dRNG,x); (*DenseCC)(x,y); // y = Ainv x CoarseCoarseVector y1(CoarseCoarseOne),z1(CoarseCoarseOne); InsertSliceFast(y,y1,0,0); CoarseOpL2.M(y1,z1); // z = A y ExtractSliceFast(z,z1,0,0); z = z - x; RealD rel = std::sqrt(norm2(z)/norm2(x)); std::cout << GridLogMessage << "L3 dense: ||A Ainv x - x||/||x|| = " << rel << std::endl; GRID_ASSERT( rel < 1.0e-2 ); CoarseOpL2.SetGrid(CoarseCoarseMrhs); delete CoarseCoarseOne; } ////////////////////////////////////////////////////////////////////// // STAGE THREE (part two): the solves. // // Both operators are driven from the SAME objects at whatever Nrhs is // asked for -- the matrix elements were built once and survive SetGrid -- // so single RHS and multiRHS are the same code path with a different grid. ////////////////////////////////////////////////////////////////////// GRID_ASSERT(DenseCC != nullptr); // the PGCR bottom is not ported yet typedef PrecGeneralisedConjugateResidualNonHermitian FineSmoother_t; ShiftedPVdagM_t ShiftedPVdagM(FineSmootherShift,Ddwf,Dpv); TrivialPrecon simple_fine; TrivialPrecon simpleC; auto RunSolve = [&](int nr) { std::cout << GridLogMessage << "**********************************************" << std::endl; std::cout << GridLogMessage << " V2 THREE-level solve, Nrhs = " << nr << std::endl; std::cout << GridLogMessage << "**********************************************" << std::endl; Coordinate cml({nr,1,clatt[0],clatt[1],clatt[2],clatt[3]}); Coordinate ccml({nr,1,cclatt[0],cclatt[1],cclatt[2],cclatt[3]}); GridCartesian *CMrhs = new GridCartesian(cml, cmsimd,cmmpi); GridCartesian *CCMrhs = new GridCartesian(ccml,cmsimd,cmmpi); CoarseOpPV.SetGrid(CMrhs); CoarseOpL2.SetGrid(CCMrhs); NonHermitianLinearOperator LinOpC (CoarseOpPV); NonHermitianLinearOperator LinOpCC(CoarseOpL2); MrhsDenseCCSolve ccSolve(*DenseCC,nr); ShiftedLinearOperator ShiftedC(CoarseSmootherShift, LinOpC); PrecGeneralisedConjugateResidualNonHermitian CoarseSmootherGCR(0.01,1,ShiftedC,simpleC,CoarseSmootherNstep,CoarseSmootherNstep); CoarseSmootherGCR.Level(2); CoarseSmootherGCR.Name("Csmoother"); CoarseSmootherGCR.SetZeroGuess(1); MrhsCoarseThreeLevelPrec L2to3Precon(LinOpC, CoarseSmootherGCR, MrhsProjectorL2, ccSolve, Coarse5d, CoarseCoarse5d, CCMrhs, nr); PrecGeneralisedConjugateResidualNonHermitian L2PGCR(CoarseSolverTol, CoarseSolverOrder/16, LinOpC, L2to3Precon, 16, 16); L2PGCR.Level(2); L2PGCR.Name("Couter"); L2PGCR.SetZeroGuess(1); FineSmoother_t SmootherGCR(0.0,1,ShiftedPVdagM,simple_fine,FineSmootherOrder,FineSmootherOrder); SmootherGCR.Level(1); SmootherGCR.Name("Fsmoother"); SmootherGCR.SetZeroGuess(1); MrhsTwoLevelMG ThreeLevelPrecon(PVdagM, SmootherGCR, MrhsProjector, L2PGCR, Coarse5d, CMrhs); MrhsPGCRNonHermitian L1PGCR(OuterTol,1000,PVdagM,ThreeLevelPrecon,OuterMmax,OuterNstep); L1PGCR.Level(1); L1PGCR.Name("Fouter"); L1PGCR.SetZeroGuess(1); std::vector src(nr,FGrid), sol(nr,FGrid); for(int r=0;r