/*************************************************************************************

Grid physics library, www.github.com/paboyle/Grid 

Source file: extras/Hadrons/Modules/MContraction/A2AMesonField.hpp

Copyright (C) 2015-2018

Author: Antonin Portelli <antonin.portelli@me.com>
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
Author: paboyle <paboyle@ph.ed.ac.uk>

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 */
#ifndef Hadrons_MContraction_A2AMesonField_hpp_
#define Hadrons_MContraction_A2AMesonField_hpp_

#include <Grid/Hadrons/Global.hpp>
#include <Grid/Hadrons/Module.hpp>
#include <Grid/Hadrons/ModuleFactory.hpp>
#include <Grid/Hadrons/A2AVectors.hpp>
#include <Grid/Eigen/unsupported/CXX11/Tensor>

BEGIN_HADRONS_NAMESPACE

/******************************************************************************
 *                     All-to-all meson field creation                        *
 ******************************************************************************/
BEGIN_MODULE_NAMESPACE(MContraction)

typedef std::pair<Gamma::Algebra, Gamma::Algebra> GammaPair;


class A2AMesonFieldPar : Serializable
{
  public:
    GRID_SERIALIZABLE_CLASS_MEMBERS(A2AMesonFieldPar,
                                    int, cacheBlock,
                                    int, schurBlock,
                                    int, Nmom,
                                    std::string, v,
                                    std::string, w,
                                    std::string, output);
};

template <typename FImpl>
class TA2AMesonField : public Module<A2AMesonFieldPar>
{
  public:
    FERM_TYPE_ALIASES(FImpl, );
    SOLVER_TYPE_ALIASES(FImpl, );
  public:
    // constructor
    TA2AMesonField(const std::string name);
    // destructor
    virtual ~TA2AMesonField(void){};
    // dependency relation
    virtual std::vector<std::string> getInput(void);
    virtual std::vector<std::string> getOutput(void);
    // setup
    virtual void setup(void);
    // execution
    virtual void execute(void);

    // Arithmetic help. Move to Grid??
    virtual void MesonField(Eigen::Tensor<ComplexD,5> &mat, 
                            const LatticeFermion *lhs,
                            const LatticeFermion *rhs,
                            std::vector<Gamma::Algebra> gammas,
                            const std::vector<LatticeComplex > &mom,
                            int orthogdim,
                            double &t0,
                            double &t1,
                            double &t2,
                            double &t3);      
};

MODULE_REGISTER(A2AMesonField, ARG(TA2AMesonField<FIMPL>), MContraction);
MODULE_REGISTER(ZA2AMesonField, ARG(TA2AMesonField<ZFIMPL>), MContraction);

/******************************************************************************
*                  TA2AMesonField implementation                             *
******************************************************************************/
// constructor /////////////////////////////////////////////////////////////////
template <typename FImpl>
TA2AMesonField<FImpl>::TA2AMesonField(const std::string name)
    : Module<A2AMesonFieldPar>(name)
{
}

// dependencies/products ///////////////////////////////////////////////////////
template <typename FImpl>
std::vector<std::string> TA2AMesonField<FImpl>::getInput(void)
{
    std::vector<std::string> in = {par().v, par().w};

    return in;
}

template <typename FImpl>
std::vector<std::string> TA2AMesonField<FImpl>::getOutput(void)
{
    std::vector<std::string> out = {};

    return out;
}


// setup ///////////////////////////////////////////////////////////////////////
template <typename FImpl>
void TA2AMesonField<FImpl>::setup(void)
{}

//////////////////////////////////////////////////////////////////////////////////
// Cache blocked arithmetic routine
// Could move to Grid ???
//////////////////////////////////////////////////////////////////////////////////
template <typename FImpl>
void TA2AMesonField<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat, 
					 const LatticeFermion *lhs_wi,
					 const LatticeFermion *rhs_vj,
					 std::vector<Gamma::Algebra> gammas,
					 const std::vector<LatticeComplex > &mom,
					 int orthogdim,
					 double &t0,
					 double &t1,
					 double &t2,
					 double &t3) 
{
  typedef typename FImpl::SiteSpinor vobj;

  typedef typename vobj::scalar_object sobj;
  typedef typename vobj::scalar_type scalar_type;
  typedef typename vobj::vector_type vector_type;

  typedef iSpinMatrix<vector_type> SpinMatrix_v;
  typedef iSpinMatrix<scalar_type> SpinMatrix_s;
  
  int Lblock = mat.dimension(3); 
  int Rblock = mat.dimension(4);

  GridBase *grid = lhs_wi[0]._grid;
  
  const int    Nd = grid->_ndimension;
  const int Nsimd = grid->Nsimd();

  int Nt     = grid->GlobalDimensions()[orthogdim];
  int Ngamma = gammas.size();
  int Nmom   = mom.size();

  int fd=grid->_fdimensions[orthogdim];
  int ld=grid->_ldimensions[orthogdim];
  int rd=grid->_rdimensions[orthogdim];

  // will locally sum vectors first
  // sum across these down to scalars
  // splitting the SIMD
  int MFrvol = rd*Lblock*Rblock*Nmom;
  int MFlvol = ld*Lblock*Rblock*Nmom;

  Vector<SpinMatrix_v > lvSum(MFrvol);
  parallel_for (int r = 0; r < MFrvol; r++)
  {
    lvSum[r] = zero;
  }

  Vector<SpinMatrix_s > lsSum(MFlvol);             
  parallel_for (int r = 0; r < MFlvol; r++){
    lsSum[r]=scalar_type(0.0);
  }

  int e1=    grid->_slice_nblock[orthogdim];
  int e2=    grid->_slice_block [orthogdim];
  int stride=grid->_slice_stride[orthogdim];

  t0-=usecond();
  // Nested parallelism would be ok
  // Wasting cores here. Test case r
  parallel_for(int r=0;r<rd;r++)
  {
    int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 

    for(int n=0;n<e1;n++)
    for(int b=0;b<e2;b++)
    {
      int ss= so+n*stride+b;

      for(int i=0;i<Lblock;i++)
      {
	      auto left = conjugate(lhs_wi[i]._odata[ss]);

	      for(int j=0;j<Rblock;j++)
        {
	        SpinMatrix_v vv;
	        auto right = rhs_vj[j]._odata[ss];

          for(int s1=0;s1<Ns;s1++)
          for(int s2=0;s2<Ns;s2++)
          {
            vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
                            + left()(s2)(1) * right()(s1)(1)
                            + left()(s2)(2) * right()(s1)(2);
          }
	    
          // After getting the sitewise product do the mom phase loop
          int base = Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*r;

          for ( int m=0;m<Nmom;m++)
          {
            int idx = m+base;
            auto phase = mom[m]._odata[ss];
            mac(&lvSum[idx],&vv,&phase);
          }
	      }
	    }
    }
  }
  t0+=usecond();

  // Sum across simd lanes in the plane, breaking out orthog dir.
  t1-=usecond();
  parallel_for(int rt=0;rt<rd;rt++)
  {
    std::vector<int> icoor(Nd);
    std::vector<SpinMatrix_s> extracted(Nsimd);               

    for(int i=0;i<Lblock;i++)
    for(int j=0;j<Rblock;j++)
    for(int m=0;m<Nmom;m++)
    {

      int ij_rdx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*rt;

      extract(lvSum[ij_rdx],extracted);
      for(int idx=0;idx<Nsimd;idx++)
      {
        grid->iCoorFromIindex(icoor,idx);

        int ldx    = rt+icoor[orthogdim]*rd;
        int ij_ldx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*ldx;

        lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
      }
    }
  }
  t1+=usecond();
  assert(mat.dimension(0) == Nmom);
  assert(mat.dimension(1) == Ngamma);
  assert(mat.dimension(2) == Nt);
  t2-=usecond();

  // ld loop and local only??
  int pd = grid->_processors[orthogdim];
  int pc = grid->_processor_coor[orthogdim];
  parallel_for_nest2(int lt=0;lt<ld;lt++)
  {
    for(int pt=0;pt<pd;pt++)
    {
      int t = lt + pt*ld;
      if (pt == pc)
      {
	      for(int i=0;i<Lblock;i++)
	      for(int j=0;j<Rblock;j++)
	      for(int m=0;m<Nmom;m++)
        {
	        int ij_dx = m+Nmom*i + Nmom*Lblock * j + Nmom*Lblock * Rblock * lt;

	        for(int mu=0;mu<Ngamma;mu++)
          {
		        // this is a bit slow
	      	  mat(m,mu,t,i,j) = trace(lsSum[ij_dx]*Gamma(gammas[mu]));
	        }
	      }
      } 
      else 
      { 
	      const scalar_type zz(0.0);

        for(int i=0;i<Lblock;i++)
        for(int j=0;j<Rblock;j++)
        for(int mu=0;mu<Ngamma;mu++)
        for(int m=0;m<Nmom;m++)
        {
		      mat(m,mu,t,i,j) =zz;
	      }
      }
    }
  }
  t2+=usecond();
  ////////////////////////////////////////////////////////////////////
  // This global sum is taking as much as 50% of time on 16 nodes
  // Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
  // Healthy size that should suffice
  ////////////////////////////////////////////////////////////////////
  t3-=usecond();
  grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
  t3+=usecond();
}

// execution ///////////////////////////////////////////////////////////////////
template <typename FImpl>
void TA2AMesonField<FImpl>::execute(void)
{
  LOG(Message) << "Computing A2A meson field" << std::endl;

  auto &v = envGet(std::vector<FermionField>, par().v);
  auto &w = envGet(std::vector<FermionField>, par().w);
  
  // 2+6+4+4 = 16 gammas
  // Ordering defined here
  std::vector<Gamma::Algebra> gammas ( {
        Gamma::Algebra::Gamma5,
  Gamma::Algebra::Identity,    
  Gamma::Algebra::GammaX,
  Gamma::Algebra::GammaY,
  Gamma::Algebra::GammaZ,
  Gamma::Algebra::GammaT,
  Gamma::Algebra::GammaXGamma5,
  Gamma::Algebra::GammaYGamma5,
  Gamma::Algebra::GammaZGamma5,
  Gamma::Algebra::GammaTGamma5,
  Gamma::Algebra::SigmaXY,
  Gamma::Algebra::SigmaXZ,
  Gamma::Algebra::SigmaXT,
  Gamma::Algebra::SigmaYZ,
  Gamma::Algebra::SigmaYT,
  Gamma::Algebra::SigmaZT
  });

  ///////////////////////////////////////////////
  // Square assumption for now Nl = Nr = N
  ///////////////////////////////////////////////
  int nt  = env().getDim(Tp);
  int nx  = env().getDim(Xp);
  int ny  = env().getDim(Yp);
  int nz  = env().getDim(Zp);
  int N_i = w.size();
  int N_j = v.size();
  int ngamma = gammas.size();
  int schurBlock = par().schurBlock;
  int cacheBlock = par().cacheBlock;
  int nmom       = par().Nmom;

  ///////////////////////////////////////////////
  // Momentum setup
  ///////////////////////////////////////////////
  GridBase *grid = env().getGrid(1);
  std::vector<LatticeComplex> phases(nmom,grid);
  for(int m=0;m<nmom;m++)
  {
    phases[m] = Complex(1.0);    // All zero momentum for now
  }

  Eigen::Tensor<ComplexD,5> mesonField(nmom,ngamma,nt,N_i,N_j);    
  LOG(Message) << "MesonField size " << N_i << "x" << N_j << "x" << nt << std::endl;

  //////////////////////////////////////////////////////////////////////////
  // i,j   is first  loop over SchurBlock factors reusing 5D matrices
  // ii,jj is second loop over cacheBlock factors for high perf contractoin
  // iii,jjj are loops within cacheBlock
  // Total index is sum of these  i+ii+iii etc...
  //////////////////////////////////////////////////////////////////////////
  
  double flops = 0.0;
  double bytes = 0.0;
  double vol   = nx*ny*nz*nt;
  double t_schur=0;
  double t_contr=0;
  double t_int_0=0;
  double t_int_1=0;
  double t_int_2=0;
  double t_int_3=0;

  double t0    = usecond();
  int NBlock_i = N_i/schurBlock + (((N_i % schurBlock) != 0) ? 1 : 0);
  int NBlock_j = N_j/schurBlock + (((N_j % schurBlock) != 0) ? 1 : 0);

  for(int i=0;i<N_i;i+=schurBlock) //loop over SchurBlocking to suppress 5D matrix overhead
  for(int j=0;j<N_j;j+=schurBlock)
  {
    ///////////////////////////////////////////////////////////////
    // Get the W and V vectors for this schurBlock^2 set of terms
    ///////////////////////////////////////////////////////////////
    int N_ii = MIN(N_i-i,schurBlock);
    int N_jj = MIN(N_j-j,schurBlock);

    t_schur-=usecond();
    t_schur+=usecond();

    LOG(Message) << "Meson field block " 
                 << j/schurBlock + NBlock_j*i/schurBlock + 1 
                 << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
                 << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
                 << std::endl;

    ///////////////////////////////////////////////////////////////
    // Series of cache blocked chunks of the contractions within this SchurBlock
    /////////////////////////////////////////////////////////////// 
    for(int ii=0;ii<N_ii;ii+=cacheBlock)
    for(int jj=0;jj<N_jj;jj+=cacheBlock)
    {
      int N_iii = MIN(N_ii-ii,cacheBlock);
      int N_jjj = MIN(N_jj-jj,cacheBlock);
      Eigen::Tensor<ComplexD,5> mesonFieldBlocked(nmom,ngamma,nt,N_iii,N_jjj);    

      t_contr-=usecond();
      MesonField(mesonFieldBlocked, &w[i+ii], &v[j+jj], gammas, phases,Tp,
                 t_int_0,t_int_1,t_int_2,t_int_3);
      t_contr+=usecond();
      // flops for general N_c & N_s
      flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
      bytes  += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
                  +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;

      ///////////////////////////////////////////////////////////////
      // Copy back to full meson field tensor
      /////////////////////////////////////////////////////////////// 
      parallel_for_nest2(int iii=0;iii< N_iii;iii++)
      for(int jjj=0;jjj< N_jjj;jjj++)
      for(int m =0;m< nmom;m++)
      for(int g =0;g< ngamma;g++)
      for(int t =0;t< nt;t++)
      {
        mesonField(m,g,t,i+ii+iii,j+jj+jjj) = mesonFieldBlocked(m,g,t,iii,jjj);
      }
    }
  }

  double nodes=grid->NodeCount();
  double t1 = usecond();
  LOG(Message) << "Contraction of MesonFields took "<<(t1-t0)/1.0e6<< " s"  << std::endl;
  LOG(Message) << "  Schur   " << (t_schur)/1.0e6 << " s"  << std::endl;
  LOG(Message) << "  Contr   " << (t_contr)/1.0e6 << " s"  << std::endl;
  LOG(Message) << "  Intern0 " << (t_int_0)/1.0e6 << " s"  << std::endl;
  LOG(Message) << "  Intern1 " << (t_int_1)/1.0e6 << " s"  << std::endl;
  LOG(Message) << "  Intern2 " << (t_int_2)/1.0e6 << " s"  << std::endl;
  LOG(Message) << "  Intern3 " << (t_int_3)/1.0e6 << " s"  << std::endl;

  double t_kernel = t_int_0 + t_int_1;
  LOG(Message) << "  Arith   " << flops/(t_kernel)/1.0e3/nodes << " Gflop/s/ node "  << std::endl;
  LOG(Message) << "  Arith   " << bytes/(t_kernel)/1.0e3/nodes << " GB/s/node "  << std::endl;

  /////////////////////////////////////////////////////////////////////////
  // Test: Build the pion correlator (two end)
  // < PI_ij(t0) PI_ji (t0+t) >
  /////////////////////////////////////////////////////////////////////////
  std::vector<ComplexD> corr(nt,ComplexD(0.0));

  for(int i=0;i<N_i;i++)
  for(int j=0;j<N_j;j++)
  {
    int m=0; // first momentum
    int g=0; // first gamma in above ordering is gamma5 for pion

    for(int t0=0;t0<nt;t0++)
    for(int t=0;t<nt;t++)
    {
	    int tt = (t0+t)%nt;

	    corr[t] += mesonField(m,g,t0,i,j)* mesonField(m,g,tt,j,i);
    }
  }   
  for(int t=0;t<nt;t++) corr[t] = corr[t]/ (double)nt;
  for(int t=0;t<nt;t++) LOG(Message) << " " << t << " " << corr[t]<<std::endl;
}

END_MODULE_NAMESPACE

END_HADRONS_NAMESPACE

#endif // Hadrons_MContraction_A2AMesonField_hpp_