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479 lines
15 KiB
C++
479 lines
15 KiB
C++
#ifndef Hadrons_MContraction_A2AMesonField_hpp_
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#define Hadrons_MContraction_A2AMesonField_hpp_
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#include <Grid/Hadrons/Global.hpp>
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#include <Grid/Hadrons/Module.hpp>
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#include <Grid/Hadrons/ModuleFactory.hpp>
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#include <Grid/Hadrons/AllToAllVectors.hpp>
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#include <Grid/Eigen/unsupported/CXX11/Tensor>
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BEGIN_HADRONS_NAMESPACE
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/******************************************************************************
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* A2AMesonField *
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******************************************************************************/
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BEGIN_MODULE_NAMESPACE(MContraction)
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typedef std::pair<Gamma::Algebra, Gamma::Algebra> GammaPair;
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class A2AMesonFieldPar : Serializable
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{
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public:
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GRID_SERIALIZABLE_CLASS_MEMBERS(A2AMesonFieldPar,
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int, cacheBlock,
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int, schurBlock,
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int, Nmom,
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std::string, A2A,
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std::string, output);
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};
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template <typename FImpl>
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class TA2AMesonField : public Module<A2AMesonFieldPar>
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{
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public:
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FERM_TYPE_ALIASES(FImpl, );
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SOLVER_TYPE_ALIASES(FImpl, );
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typedef A2AModesSchurDiagTwo<typename FImpl::FermionField, FMat, Solver> A2ABase;
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public:
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// constructor
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TA2AMesonField(const std::string name);
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// destructor
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virtual ~TA2AMesonField(void){};
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// dependency relation
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virtual std::vector<std::string> getInput(void);
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virtual std::vector<std::string> getOutput(void);
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// setup
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virtual void setup(void);
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// execution
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virtual void execute(void);
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// Arithmetic help. Move to Grid??
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virtual void MesonField(Eigen::Tensor<ComplexD,5> &mat,
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const LatticeFermion *lhs,
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const LatticeFermion *rhs,
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std::vector<Gamma::Algebra> gammas,
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const std::vector<LatticeComplex > &mom,
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int orthogdim,
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double &t0,
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double &t1,
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double &t2,
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double &t3);
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};
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MODULE_REGISTER(A2AMesonField, ARG(TA2AMesonField<FIMPL>), MContraction);
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MODULE_REGISTER(ZA2AMesonField, ARG(TA2AMesonField<ZFIMPL>), MContraction);
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/******************************************************************************
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* TA2AMesonField implementation *
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******************************************************************************/
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// constructor /////////////////////////////////////////////////////////////////
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template <typename FImpl>
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TA2AMesonField<FImpl>::TA2AMesonField(const std::string name)
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: Module<A2AMesonFieldPar>(name)
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{
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}
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// dependencies/products ///////////////////////////////////////////////////////
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template <typename FImpl>
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std::vector<std::string> TA2AMesonField<FImpl>::getInput(void)
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{
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std::vector<std::string> in = {par().A2A};
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return in;
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}
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template <typename FImpl>
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std::vector<std::string> TA2AMesonField<FImpl>::getOutput(void)
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{
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std::vector<std::string> out = {};
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return out;
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}
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// setup ///////////////////////////////////////////////////////////////////////
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template <typename FImpl>
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void TA2AMesonField<FImpl>::setup(void)
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{
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auto &a2a = envGet(A2ABase, par().A2A);
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int Ls = env().getObjectLs(par().A2A);
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// Four D fields
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envTmp(std::vector<FermionField>, "w", 1, par().schurBlock,
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FermionField(env().getGrid()));
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envTmp(std::vector<FermionField>, "v", 1, par().schurBlock,
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FermionField(env().getGrid()));
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// 5D tmp
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envTmpLat(FermionField, "tmp_5d", Ls);
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}
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//////////////////////////////////////////////////////////////////////////////////
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// Cache blocked arithmetic routine
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// Could move to Grid ???
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//////////////////////////////////////////////////////////////////////////////////
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template <typename FImpl>
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void TA2AMesonField<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat,
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const LatticeFermion *lhs_wi,
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const LatticeFermion *rhs_vj,
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std::vector<Gamma::Algebra> gammas,
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const std::vector<LatticeComplex > &mom,
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int orthogdim,
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double &t0,
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double &t1,
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double &t2,
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double &t3)
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{
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typedef typename FImpl::SiteSpinor vobj;
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typedef typename vobj::scalar_object sobj;
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typedef typename vobj::scalar_type scalar_type;
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typedef typename vobj::vector_type vector_type;
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typedef iSpinMatrix<vector_type> SpinMatrix_v;
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typedef iSpinMatrix<scalar_type> SpinMatrix_s;
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int Lblock = mat.dimension(3);
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int Rblock = mat.dimension(4);
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GridBase *grid = lhs_wi[0]._grid;
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const int Nd = grid->_ndimension;
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const int Nsimd = grid->Nsimd();
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int Nt = grid->GlobalDimensions()[orthogdim];
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int Ngamma = gammas.size();
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int Nmom = mom.size();
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int fd=grid->_fdimensions[orthogdim];
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int ld=grid->_ldimensions[orthogdim];
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int rd=grid->_rdimensions[orthogdim];
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// will locally sum vectors first
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// sum across these down to scalars
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// splitting the SIMD
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int MFrvol = rd*Lblock*Rblock*Nmom;
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int MFlvol = ld*Lblock*Rblock*Nmom;
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Vector<SpinMatrix_v > lvSum(MFrvol);
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parallel_for (int r = 0; r < MFrvol; r++)
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{
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lvSum[r] = zero;
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}
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Vector<SpinMatrix_s > lsSum(MFlvol);
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parallel_for (int r = 0; r < MFlvol; r++){
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lsSum[r]=scalar_type(0.0);
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}
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int e1= grid->_slice_nblock[orthogdim];
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int e2= grid->_slice_block [orthogdim];
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int stride=grid->_slice_stride[orthogdim];
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t0-=usecond();
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// Nested parallelism would be ok
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// Wasting cores here. Test case r
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parallel_for(int r=0;r<rd;r++)
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{
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int so=r*grid->_ostride[orthogdim]; // base offset for start of plane
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for(int n=0;n<e1;n++)
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for(int b=0;b<e2;b++)
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{
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int ss= so+n*stride+b;
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for(int i=0;i<Lblock;i++)
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{
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auto left = conjugate(lhs_wi[i]._odata[ss]);
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for(int j=0;j<Rblock;j++)
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{
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SpinMatrix_v vv;
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auto right = rhs_vj[j]._odata[ss];
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for(int s1=0;s1<Ns;s1++)
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for(int s2=0;s2<Ns;s2++)
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{
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vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
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+ left()(s2)(1) * right()(s1)(1)
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+ left()(s2)(2) * right()(s1)(2);
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}
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// After getting the sitewise product do the mom phase loop
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int base = Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*r;
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for ( int m=0;m<Nmom;m++)
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{
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int idx = m+base;
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auto phase = mom[m]._odata[ss];
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mac(&lvSum[idx],&vv,&phase);
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}
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}
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}
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}
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}
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t0+=usecond();
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// Sum across simd lanes in the plane, breaking out orthog dir.
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t1-=usecond();
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parallel_for(int rt=0;rt<rd;rt++)
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{
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std::vector<int> icoor(Nd);
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std::vector<SpinMatrix_s> extracted(Nsimd);
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for(int i=0;i<Lblock;i++)
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for(int j=0;j<Rblock;j++)
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for(int m=0;m<Nmom;m++)
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{
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int ij_rdx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*rt;
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extract(lvSum[ij_rdx],extracted);
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for(int idx=0;idx<Nsimd;idx++)
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{
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grid->iCoorFromIindex(icoor,idx);
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int ldx = rt+icoor[orthogdim]*rd;
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int ij_ldx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*ldx;
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lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
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}
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}
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}
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t1+=usecond();
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assert(mat.dimension(0) == Nmom);
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assert(mat.dimension(1) == Ngamma);
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assert(mat.dimension(2) == Nt);
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t2-=usecond();
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// ld loop and local only??
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int pd = grid->_processors[orthogdim];
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int pc = grid->_processor_coor[orthogdim];
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parallel_for_nest2(int lt=0;lt<ld;lt++)
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{
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for(int pt=0;pt<pd;pt++)
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{
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int t = lt + pt*ld;
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if (pt == pc)
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{
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for(int i=0;i<Lblock;i++)
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for(int j=0;j<Rblock;j++)
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for(int m=0;m<Nmom;m++)
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{
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int ij_dx = m+Nmom*i + Nmom*Lblock * j + Nmom*Lblock * Rblock * lt;
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for(int mu=0;mu<Ngamma;mu++)
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{
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// this is a bit slow
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mat(m,mu,t,i,j) = trace(lsSum[ij_dx]*Gamma(gammas[mu]));
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}
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}
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}
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else
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{
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const scalar_type zz(0.0);
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for(int i=0;i<Lblock;i++)
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for(int j=0;j<Rblock;j++)
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for(int mu=0;mu<Ngamma;mu++)
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for(int m=0;m<Nmom;m++)
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{
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mat(m,mu,t,i,j) =zz;
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}
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}
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}
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}
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t2+=usecond();
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////////////////////////////////////////////////////////////////////
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// This global sum is taking as much as 50% of time on 16 nodes
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// Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
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// Healthy size that should suffice
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////////////////////////////////////////////////////////////////////
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t3-=usecond();
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grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
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t3+=usecond();
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}
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// execution ///////////////////////////////////////////////////////////////////
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template <typename FImpl>
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void TA2AMesonField<FImpl>::execute(void)
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{
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LOG(Message) << "Computing A2A meson field" << std::endl;
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auto &a2a = envGet(A2ABase, par().A2A);
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// 2+6+4+4 = 16 gammas
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// Ordering defined here
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std::vector<Gamma::Algebra> gammas ( {
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Gamma::Algebra::Gamma5,
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Gamma::Algebra::Identity,
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Gamma::Algebra::GammaX,
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Gamma::Algebra::GammaY,
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Gamma::Algebra::GammaZ,
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Gamma::Algebra::GammaT,
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Gamma::Algebra::GammaXGamma5,
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Gamma::Algebra::GammaYGamma5,
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Gamma::Algebra::GammaZGamma5,
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Gamma::Algebra::GammaTGamma5,
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Gamma::Algebra::SigmaXY,
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Gamma::Algebra::SigmaXZ,
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Gamma::Algebra::SigmaXT,
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Gamma::Algebra::SigmaYZ,
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Gamma::Algebra::SigmaYT,
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Gamma::Algebra::SigmaZT
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});
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///////////////////////////////////////////////
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// Square assumption for now Nl = Nr = N
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///////////////////////////////////////////////
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int nt = env().getDim(Tp);
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int nx = env().getDim(Xp);
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int ny = env().getDim(Yp);
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int nz = env().getDim(Zp);
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int Nl = a2a.get_Nl();
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int N = Nl + a2a.get_Nh();
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int ngamma = gammas.size();
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int schurBlock = par().schurBlock;
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int cacheBlock = par().cacheBlock;
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int nmom = par().Nmom;
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///////////////////////////////////////////////
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// Momentum setup
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///////////////////////////////////////////////
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GridBase *grid = env().getGrid(1);
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std::vector<LatticeComplex> phases(nmom,grid);
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for(int m=0;m<nmom;m++)
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{
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phases[m] = Complex(1.0); // All zero momentum for now
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}
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Eigen::Tensor<ComplexD,5> mesonField (nmom,ngamma,nt,N,N);
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LOG(Message) << "N = Nh+Nl for A2A MesonField is " << N << std::endl;
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envGetTmp(std::vector<FermionField>, w);
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envGetTmp(std::vector<FermionField>, v);
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envGetTmp(FermionField, tmp_5d);
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LOG(Message) << "Finding v and w vectors for N = " << N << std::endl;
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//////////////////////////////////////////////////////////////////////////
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// i,j is first loop over SchurBlock factors reusing 5D matrices
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// ii,jj is second loop over cacheBlock factors for high perf contractoin
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// iii,jjj are loops within cacheBlock
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// Total index is sum of these i+ii+iii etc...
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//////////////////////////////////////////////////////////////////////////
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double flops = 0.0;
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double bytes = 0.0;
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double vol = nx*ny*nz*nt;
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double t_schur=0;
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double t_contr=0;
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double t_int_0=0;
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double t_int_1=0;
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double t_int_2=0;
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double t_int_3=0;
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double t0 = usecond();
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int N_i = N;
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int N_j = N;
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for(int i=0;i<N_i;i+=schurBlock) //loop over SchurBlocking to suppress 5D matrix overhead
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for(int j=0;j<N_j;j+=schurBlock)
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{
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///////////////////////////////////////////////////////////////
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// Get the W and V vectors for this schurBlock^2 set of terms
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///////////////////////////////////////////////////////////////
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int N_ii = MIN(N_i-i,schurBlock);
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int N_jj = MIN(N_j-j,schurBlock);
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t_schur-=usecond();
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for(int ii =0;ii < N_ii;ii++) a2a.return_w(i+ii, tmp_5d, w[ii]);
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for(int jj =0;jj < N_jj;jj++) a2a.return_v(j+jj, tmp_5d, v[jj]);
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t_schur+=usecond();
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LOG(Message) << "Found w vectors " << i <<" .. " << i+N_ii-1 << std::endl;
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LOG(Message) << "Found v vectors " << j <<" .. " << j+N_jj-1 << std::endl;
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///////////////////////////////////////////////////////////////
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// Series of cache blocked chunks of the contractions within this SchurBlock
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///////////////////////////////////////////////////////////////
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for(int ii=0;ii<N_ii;ii+=cacheBlock)
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for(int jj=0;jj<N_jj;jj+=cacheBlock)
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{
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int N_iii = MIN(N_ii-ii,cacheBlock);
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int N_jjj = MIN(N_jj-jj,cacheBlock);
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Eigen::Tensor<ComplexD,5> mesonFieldBlocked(nmom,ngamma,nt,N_iii,N_jjj);
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t_contr-=usecond();
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MesonField(mesonFieldBlocked, &w[ii], &v[jj], gammas, phases,Tp,
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t_int_0,t_int_1,t_int_2,t_int_3);
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t_contr+=usecond();
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flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
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bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
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+ vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
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///////////////////////////////////////////////////////////////
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// Copy back to full meson field tensor
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///////////////////////////////////////////////////////////////
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parallel_for_nest2(int iii=0;iii< N_iii;iii++)
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for(int jjj=0;jjj< N_jjj;jjj++)
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for(int m =0;m< nmom;m++)
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for(int g =0;g< ngamma;g++)
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for(int t =0;t< nt;t++)
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{
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mesonField(m,g,t,i+ii+iii,j+jj+jjj) = mesonFieldBlocked(m,g,t,iii,jjj);
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}
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}
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}
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double nodes=grid->NodeCount();
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double t1 = usecond();
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LOG(Message) << " Contraction of MesonFields took "<<(t1-t0)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Schur "<<(t_schur)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Contr "<<(t_contr)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Intern0 "<<(t_int_0)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Intern1 "<<(t_int_1)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Intern2 "<<(t_int_2)/1.0e6<< " seconds " << std::endl;
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LOG(Message) << " Intern3 "<<(t_int_3)/1.0e6<< " seconds " << std::endl;
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double t_kernel = t_int_0 + t_int_1;
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LOG(Message) << " Arith "<<flops/(t_kernel)/1.0e3/nodes<< " Gflop/s / node " << std::endl;
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LOG(Message) << " Arith "<<bytes/(t_kernel)/1.0e3/nodes<< " GB/s /node " << std::endl;
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/////////////////////////////////////////////////////////////////////////
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// Test: Build the pion correlator (two end)
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// < PI_ij(t0) PI_ji (t0+t) >
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/////////////////////////////////////////////////////////////////////////
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std::vector<ComplexD> corr(nt,ComplexD(0.0));
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for(int i=0;i<N;i++)
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for(int j=0;j<N;j++)
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{
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int m=0; // first momentum
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int g=0; // first gamma in above ordering is gamma5 for pion
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for(int t0=0;t0<nt;t0++)
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for(int t=0;t<nt;t++)
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{
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int tt = (t0+t)%nt;
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corr[t] += mesonField(m,g,t0,i,j)* mesonField(m,g,tt,j,i);
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}
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}
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for(int t=0;t<nt;t++) corr[t] = corr[t]/ (double)nt;
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for(int t=0;t<nt;t++) LOG(Message) << " " << t << " " << corr[t]<<std::endl;
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}
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END_MODULE_NAMESPACE
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END_HADRONS_NAMESPACE
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#endif // Hadrons_MContraction_A2AMesonField_hpp_
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