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https://github.com/paboyle/Grid.git
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84b5c7217d
in RedBlack MpcDagMpc, Unprec MdagM and Schur red black solver for each of. DomainWallFermion MobiusFermion MobiusZolotarevFermion ScaledShamirFermion ScaledShamirZolotarevFermion
504 lines
15 KiB
C++
504 lines
15 KiB
C++
#include "Grid.h"
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//DEBUG
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#ifdef SSE4
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#include "simd/Grid_vector_types.h"
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#endif
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using namespace std;
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using namespace Grid;
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using namespace Grid::QCD;
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/*
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Grid_main.cc(232): error: no suitable user-defined conversion from "Grid::iScalar<Grid::iMatrix<Grid::iScalar<Grid::Complex>, 4>>" to "const Grid::iScalar<Grid::iScalar<Grid::iMatrix<Grid::Complex, 3>>>" exists
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c_m = peekIdiot<SpinColourMatrix>(scm,1,2);
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*/
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template<class vobj> auto peekIdiot(const vobj &rhs,int i,int j) -> decltype(peekIndex<2>(rhs,0,0))
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{
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return peekIndex<2>(rhs,i,j);
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}
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template<class vobj> auto peekDumKopf(const vobj &rhs,int i,int j) -> decltype(peekIndex<3>(rhs,0,0))
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{
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return peekIndex<3>(rhs,i,j);
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}
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template<class vobj> auto peekDumKopf(const vobj &rhs,int i) -> decltype(peekIndex<3>(rhs,0))
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{
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return peekIndex<3>(rhs,i);
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}
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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std::vector<int> latt_size = GridDefaultLatt();
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std::vector<int> simd_layout = GridDefaultSimd(4,vComplexF::Nsimd());
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std::vector<int> mpi_layout = GridDefaultMpi();
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latt_size.resize(4);
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#ifdef AVX512
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for(int omp=128;omp<236;omp+=16){
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#else
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for(int omp=1;omp<8;omp*=20){
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#endif
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#ifdef OMP
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omp_set_num_threads(omp);
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#endif
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for(int lat=8;lat<=16;lat+=40){
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latt_size[0] = lat;
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latt_size[1] = lat;
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latt_size[2] = lat;
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latt_size[3] = lat;
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double volume = latt_size[0]*latt_size[1]*latt_size[2]*latt_size[3];
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GridCartesian Fine(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian rbFine(latt_size,simd_layout,mpi_layout);
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GridParallelRNG FineRNG(&Fine);
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FineRNG.SeedRandomDevice();
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LatticeColourMatrix Foo(&Fine);
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LatticeColourMatrix Bar(&Fine);
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LatticeSpinColourMatrix scFoo(&Fine);
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LatticeSpinColourMatrix scBar(&Fine);
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LatticeColourMatrix Shifted(&Fine);
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LatticeColourMatrix ShiftedCheck(&Fine);
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LatticeColourMatrix rShifted(&rbFine);
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LatticeColourMatrix bShifted(&rbFine);
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LatticeColourMatrix rFoo(&rbFine);
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LatticeColourMatrix bFoo(&rbFine);
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LatticeColourMatrix FooBar(&Fine);
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LatticeSpinColourMatrix scFooBar(&Fine);
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LatticeColourVector cVec(&Fine);
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LatticeSpinVector sVec(&Fine);
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LatticeSpinColourVector scVec(&Fine);
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LatticeColourMatrix cMat(&Fine);
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LatticeSpinMatrix sMat(&Fine);
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LatticeSpinColourMatrix scMat(&Fine);
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LatticeComplex scalar(&Fine);
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LatticeReal rscalar(&Fine);
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LatticeReal iscalar(&Fine);
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SpinMatrix GammaFive;
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iSpinMatrix<vComplex> iGammaFive;
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ColourMatrix cmat;
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random(FineRNG,Foo);
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gaussian(FineRNG,Bar);
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random(FineRNG,scFoo);
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random(FineRNG,scBar);
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random(FineRNG,cMat);
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random(FineRNG,sMat);
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random(FineRNG,scMat);
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random(FineRNG,cVec);
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random(FineRNG,sVec);
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random(FineRNG,scVec);
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fflush(stdout);
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cVec = cMat * cVec; // LatticeColourVector = LatticeColourMatrix * LatticeColourVector
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sVec = sMat * sVec; // LatticeSpinVector = LatticeSpinMatrix * LatticeSpinVector
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scVec= scMat * scVec;// LatticeSpinColourVector = LatticeSpinColourMatrix * LatticeSpinColourVector
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scVec= cMat * scVec; // LatticeSpinColourVector = LatticeColourMatrix * LatticeSpinColourVector
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scVec= sMat * scVec; // LatticeSpinColourVector = LatticeSpinMatrix * LatticeSpinColourVector
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cMat = outerProduct(cVec,cVec);
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scalar = localInnerProduct(cVec,cVec);
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scalar += scalar;
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scalar -= scalar;
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scalar *= scalar;
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add(scalar,scalar,scalar);
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sub(scalar,scalar,scalar);
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mult(scalar,scalar,scalar);
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mac(scalar,scalar,scalar);
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scalar = scalar+scalar;
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scalar = scalar-scalar;
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scalar = scalar*scalar;
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scalar=outerProduct(scalar,scalar);
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scalar=adj(scalar);
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// rscalar=real(scalar);
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// iscalar=imag(scalar);
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// scalar =cmplx(rscalar,iscalar);
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pokeIndex<1>(cVec,scalar,1);
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scalar=transpose(scalar);
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scalar=transposeIndex<1>(scalar);
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scalar=traceIndex<1>(scalar);
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scalar=peekIndex<1>(cVec,0);
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scalar=trace(scalar);
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scalar=localInnerProduct(cVec,cVec);
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scalar=localNorm2(cVec);
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// -=,+=,*=,()
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// add,+,sub,-,mult,mac,*
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// adj,conjugate
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// real,imag
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// transpose,transposeIndex
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// trace,traceIndex
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// peekIndex
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// innerProduct,outerProduct,
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// localNorm2
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// localInnerProduct
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scMat = sMat*scMat; // LatticeSpinColourMatrix = LatticeSpinMatrix * LatticeSpinColourMatrix
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///////////////////////
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// Non-lattice (const objects) * Lattice
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ColourMatrix cm;
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SpinColourMatrix scm;
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vSpinColourMatrix vscm;
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Complex cplx(1.0);
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Integer myint=1;
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double mydouble=1.0;
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// vSpinColourMatrix vscm;
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scMat = cMat*scMat;
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scm = cm * scm; // SpinColourMatrix = ColourMatrix * SpinColourMatrix
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scm = scm *cm; // SpinColourMatrix = SpinColourMartix * ColourMatrix
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scm = GammaFive * scm ; // SpinColourMatrix = SpinMatrix * SpinColourMatrix
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scm = scm* GammaFive ; // SpinColourMatrix = SpinColourMatrix * SpinMatrix
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scm = scm*cplx;
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vscm = vscm*cplx;
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scMat = scMat*cplx;
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scm = cplx*scm;
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vscm = cplx*vscm;
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scMat = cplx*scMat;
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scm = myint*scm;
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vscm = myint*vscm;
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scMat = scMat*myint;
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scm = scm*mydouble;
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vscm = vscm*mydouble;
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scMat = scMat*mydouble;
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scMat = mydouble*scMat;
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cMat = mydouble*cMat;
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sMat = adj(sMat); // LatticeSpinMatrix adjoint
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sMat = iGammaFive*sMat; // SpinMatrix * LatticeSpinMatrix
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sMat = GammaFive*sMat; // SpinMatrix * LatticeSpinMatrix
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scMat= adj(scMat);
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cMat= adj(cMat);
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cm=adj(cm);
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scm=adj(scm);
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scm=transpose(scm);
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scm=transposeIndex<1>(scm);
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// Foo = Foo+scalar; // LatticeColourMatrix+Scalar
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// Foo = Foo*scalar; // LatticeColourMatrix*Scalar
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// Foo = Foo-scalar; // LatticeColourMatrix-Scalar
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// Foo = scalar*Foo; // Scalar*LatticeColourMatrix
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// Foo = scalar+Foo; // Scalar+LatticeColourMatrix
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// Foo = scalar-Foo; // Scalar-LatticeColourMatrix
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LatticeComplex trscMat(&Fine);
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trscMat = trace(scMat); // Trace
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{ // Peek-ology and Poke-ology, with a little app-ology
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TComplex c;
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ColourMatrix c_m;
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SpinMatrix s_m;
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SpinColourMatrix sc_m;
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s_m = traceIndex<1>(sc_m); // Map to traceColour
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c_m = traceIndex<2>(sc_m); // map to traceSpin
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c = traceIndex<2>(s_m);
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c = traceIndex<1>(c_m);
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s_m = peekIndex<1>(scm,0,0);
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c_m = peekIndex<2>(scm,1,2);
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// c_m = peekSpin<SpinColourMatrix>(scm,1,2);
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c_m = peekIdiot<SpinColourMatrix>(scm,1,2);
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printf("c. Level %d\n",c_m.TensorLevel);
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printf("c. Level %d\n",c_m().TensorLevel);
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printf("c. Level %d\n",c_m()().TensorLevel);
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c_m()() = scm()(0,0); //ColourComponents of CM <= ColourComponents of SpinColourMatrix
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scm()(1,1) = cm()(); //ColourComponents of CM <= ColourComponents of SpinColourMatrix
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c = scm()(1,1)(1,2);
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scm()(1,1)(2,1) = c;
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pokeIndex<1> (c_m,c,0,0);
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}
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FooBar = Bar;
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/*
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{
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std::vector<int> coor(4);
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for(int d=0;d<4;d++) coor[d] = 0;
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peekSite(cmat,Foo,coor);
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Foo = zero;
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pokeSite(cmat,Foo,coor);
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}
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random(Foo);
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*/
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lex_sites(Foo);
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Integer mm[4];
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mm[0]=1;
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mm[1]=Fine._rdimensions[0];
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mm[2]=Fine._ldimensions[0]*Fine._ldimensions[1];
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mm[3]=Fine._ldimensions[0]*Fine._ldimensions[1]*Fine._ldimensions[2];
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LatticeInteger lex(&Fine);
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lex=zero;
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for(int d=0;d<4;d++){
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LatticeInteger coor(&Fine);
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LatticeCoordinate(coor,d);
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lex = lex + coor*mm[d];
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}
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Bar = zero;
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Bar = where(lex<10,Foo,Bar);
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{
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std::vector<int> coor(4);
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for(coor[3]=0;coor[3]<latt_size[3]/mpi_layout[3];coor[3]++){
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for(coor[2]=0;coor[2]<latt_size[2]/mpi_layout[2];coor[2]++){
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for(coor[1]=0;coor[1]<latt_size[1]/mpi_layout[1];coor[1]++){
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for(coor[0]=0;coor[0]<latt_size[0]/mpi_layout[0];coor[0]++){
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ColourMatrix bar;
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peekSite(bar,Bar,coor);
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for(int r=0;r<3;r++){
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for(int c=0;c<3;c++){
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// cout<<"bar "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "<<bar()()(r,c)<<std::endl;
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}}
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}}}}
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}
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//setCheckerboard(ShiftedCheck,rFoo);
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//setCheckerboard(ShiftedCheck,bFoo);
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// Lattice SU(3) x SU(3)
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Fine.Barrier();
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FooBar = Foo * Bar;
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// Lattice 12x12 GEMM
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scFooBar = scFoo * scBar;
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// Benchmark some simple operations LatticeSU3 * Lattice SU3.
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double t0,t1,flops;
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double bytes;
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int ncall=5000;
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int Nc = Grid::QCD::Nc;
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LatticeGaugeField U(&Fine);
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// LatticeColourMatrix Uy = peekLorentz(U,1);
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LatticeColourMatrix Uy = peekDumKopf(U,1);
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flops = ncall*1.0*volume*(8*Nc*Nc*Nc);
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bytes = ncall*1.0*volume*Nc*Nc *2*3*sizeof(Grid::Real);
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if ( Fine.IsBoss() ) {
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printf("%f flop and %f bytes\n",flops,bytes/ncall);
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}
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FooBar = Foo * Bar;
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Fine.Barrier();
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t0=usecond();
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for(int i=0;i<ncall;i++){
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Fine.Barrier();
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mult(FooBar,Foo,Bar); // this is better
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}
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t1=usecond();
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Fine.Barrier();
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if ( Fine.IsBoss() ) {
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#ifdef OMP
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printf("mult NumThread %d , Lattice size %d , %f us per call\n",omp_get_max_threads(),lat,(t1-t0)/ncall);
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#endif
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printf("mult NumThread %d , Lattice size %d , %f us per call\n",omp,lat,(t1-t0)/ncall);
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printf("mult NumThread %d , Lattice size %d , %f Mflop/s\n",omp,lat,flops/(t1-t0));
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printf("mult NumThread %d , Lattice size %d , %f MB/s\n",omp,lat,bytes/(t1-t0));
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}
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mult(FooBar,Foo,Bar);
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FooBar = Foo * Bar;
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bytes = ncall*1.0*volume*Nc*Nc *2*5*sizeof(Grid::Real);
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Fine.Barrier();
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t0=usecond();
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for(int i=0;i<ncall;i++){
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Fine.Barrier();
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mult(FooBar,Foo,Cshift(Bar,1,-1));
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//mult(FooBar,Foo,Bar);
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//FooBar = Foo * Bar; // this is bad
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}
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t1=usecond();
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Fine.Barrier();
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FooBar = Foo * Bar;
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if ( Fine.IsBoss() ) {
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printf("Cshift Mult: NumThread %d , Lattice size %d , %f us per call\n",omp,lat,(t1-t0)/ncall);
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printf("Cshift Mult: NumThread %d , Lattice size %d , %f Mflop/s\n",omp,lat,flops/(t1-t0));
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printf("Cshift Mult: NumThread %d , Lattice size %d , %f MB/s\n",omp,lat,bytes/(t1-t0));
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}
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// pickCheckerboard(0,rFoo,FooBar);
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// pickCheckerboard(1,bFoo,FooBar);
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// setCheckerboard(FooBar,rFoo);
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// setCheckerboard(FooBar,bFoo);
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double nrm=0;
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LatticeColourMatrix deriv(&Fine);
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double half=0.5;
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deriv = 0.5*Cshift(Foo,0,1) - 0.5*Cshift(Foo,0,-1);
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for(int dir=0;dir<4;dir++){
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for(int shift=0;shift<latt_size[dir];shift++){
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pickCheckerboard(0,rFoo,Foo); // Pick out red or black checkerboards
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pickCheckerboard(1,bFoo,Foo);
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if ( Fine.IsBoss() ) {
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std::cout << "Shifting both parities by "<< shift <<" direction "<< dir <<std::endl;
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}
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Shifted = Cshift(Foo,dir,shift); // Shift everything
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bShifted = Cshift(rFoo,dir,shift); // Shift red->black
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rShifted = Cshift(bFoo,dir,shift); // Shift black->red
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ShiftedCheck=zero;
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setCheckerboard(ShiftedCheck,bShifted); // Put them all together
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setCheckerboard(ShiftedCheck,rShifted); // and check the results (later)
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// Check results
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std::vector<int> coor(4);
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for(coor[3]=0;coor[3]<latt_size[3]/mpi_layout[3];coor[3]++){
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for(coor[2]=0;coor[2]<latt_size[2]/mpi_layout[2];coor[2]++){
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for(coor[1]=0;coor[1]<latt_size[1]/mpi_layout[1];coor[1]++){
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for(coor[0]=0;coor[0]<latt_size[0]/mpi_layout[0];coor[0]++){
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std::complex<Grid::Real> diff;
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std::vector<int> shiftcoor = coor;
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shiftcoor[dir]=(shiftcoor[dir]+shift+latt_size[dir])%(latt_size[dir]/mpi_layout[dir]);
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std::vector<int> rl(4);
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for(int dd=0;dd<4;dd++){
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rl[dd] = latt_size[dd]/simd_layout[dd]/mpi_layout[dd];
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}
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int lex = coor[0]%rl[0]
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+ (coor[1]%rl[1])*rl[0]
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+ (coor[2]%rl[2])*rl[0]*rl[1]
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+ (coor[3]%rl[3])*rl[0]*rl[1]*rl[2];
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lex +=
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+1000*(coor[0]/rl[0])
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+1000*(coor[1]/rl[1])*simd_layout[0]
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+1000*(coor[2]/rl[2])*simd_layout[0]*simd_layout[1]
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+1000*(coor[3]/rl[3])*simd_layout[0]*simd_layout[1]*simd_layout[2];
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int lex_coor = shiftcoor[0]%rl[0]
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+ (shiftcoor[1]%rl[1])*rl[0]
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+ (shiftcoor[2]%rl[2])*rl[0]*rl[1]
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+ (shiftcoor[3]%rl[3])*rl[0]*rl[1]*rl[2];
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lex_coor +=
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+1000*(shiftcoor[0]/rl[0])
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+1000*(shiftcoor[1]/rl[1])*simd_layout[0]
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+1000*(shiftcoor[2]/rl[2])*simd_layout[0]*simd_layout[1]
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+1000*(shiftcoor[3]/rl[3])*simd_layout[0]*simd_layout[1]*simd_layout[2];
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ColourMatrix foo;
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ColourMatrix bar;
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ColourMatrix shifted1;
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ColourMatrix shifted2;
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ColourMatrix shifted3;
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ColourMatrix foobar1;
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ColourMatrix foobar2;
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ColourMatrix mdiff,amdiff;
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peekSite(shifted1,Shifted,coor);
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peekSite(shifted2,Foo,shiftcoor);
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peekSite(shifted3,ShiftedCheck,coor);
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peekSite(foo,Foo,coor);
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mdiff = shifted1-shifted2;
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amdiff=adj(mdiff);
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ColourMatrix prod = amdiff*mdiff;
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Real Ttr=real(trace(prod));
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double nn=Ttr;
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if ( nn > 0 )
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cout<<"Shift real trace fail "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<endl;
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for(int r=0;r<3;r++){
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for(int c=0;c<3;c++){
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diff =shifted1()()(r,c)-shifted2()()(r,c);
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nn=real(conjugate(diff)*diff);
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if ( nn > 0 )
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cout<<"Shift fail (shifted1/shifted2-ref) "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
|
|
<<shifted1()()(r,c)<<" "<<shifted2()()(r,c)
|
|
<< " "<< foo()()(r,c)<< " lex expect " << lex_coor << " lex "<<lex<<endl;
|
|
else if(0)
|
|
cout<<"Shift pass 1vs2 "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
|
|
<<shifted1()()(r,c)<<" "<<shifted2()()(r,c)
|
|
<< " "<< foo()()(r,c)<< " lex expect " << lex_coor << " lex "<<lex<<endl;
|
|
}}
|
|
|
|
for(int r=0;r<3;r++){
|
|
for(int c=0;c<3;c++){
|
|
diff =shifted3()()(r,c)-shifted2()()(r,c);
|
|
nn=real(conjugate(diff)*diff);
|
|
if ( nn > 0 )
|
|
cout<<"Shift rb fail (shifted3/shifted2-ref) "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
|
|
<<shifted3()()(r,c)<<" "<<shifted2()()(r,c)
|
|
<< " "<< foo()()(r,c)<< " lex expect " << lex_coor << " lex "<<lex<<endl;
|
|
else if(0)
|
|
cout<<"Shift rb pass 3vs2 "<<coor[0]<<coor[1]<<coor[2]<<coor[3] <<" "
|
|
<<shifted3()()(r,c)<<" "<<shifted2()()(r,c)
|
|
<< " "<< foo()()(r,c)<< " lex expect " << lex_coor << " lex "<<lex<<endl;
|
|
}}
|
|
peekSite(bar,Bar,coor);
|
|
|
|
peekSite(foobar1,FooBar,coor);
|
|
foobar2 = foo*bar;
|
|
for(int r=0;r<Nc;r++){
|
|
for(int c=0;c<Nc;c++){
|
|
diff =foobar2()()(r,c)-foobar1()()(r,c);
|
|
nrm = nrm + real(conjugate(diff)*diff);
|
|
}}
|
|
}}}}
|
|
if( Fine.IsBoss() ){
|
|
std::cout << "LatticeColorMatrix * LatticeColorMatrix nrm diff = "<<nrm<<std::endl;
|
|
}
|
|
}}
|
|
|
|
} // loop for lat
|
|
} // loop for omp
|
|
|
|
|
|
std::cout << sizeof(vComplexF) << std::endl;
|
|
|
|
Grid_finalize();
|
|
}
|