// -*- C++ -*-
#include "Rivet/Analysis.hh"
#include "Rivet/Projections/Beam.hh"
#include "Rivet/Projections/FinalState.hh"
#include "Rivet/Projections/UnstableParticles.hh"

namespace Rivet {


  /// @brief Jpsi/psi2S baryon decay analysis
  class BESIII_2016_I1422780 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2016_I1422780);


    /// @name Analysis methods
    /// @{

    /// Book histograms and initialise projections before the run
    void init() {

      // Initialise and register projections
      declare(Beam(), "Beams");
      declare(UnstableParticles(), "UFS");
      declare(FinalState(), "FS");

      // Book histograms
      if(isCompatibleWithSqrtS(3.1*GeV,1e-1)) {
        book(_h_xi  , 2, 1, 1);
        book(_h_sigm, 2, 1, 2);
        book(_h_sigp, 2, 1, 3);
      }
      else if (isCompatibleWithSqrtS(3.686*GeV, 1E-1)) {
        book(_h_xi ,  2, 1, 4);
        book(_h_sigm, 2, 1, 5);
        book(_h_sigp, 2, 1, 6);
      }
    }

    void findChildren(const Particle & p,map<long,int> & nRes, int &ncount) {
      for( const Particle &child : p.children()) {
        if(child.children().empty()) {
          nRes[child.pid()]-=1;
          --ncount;
        }
        else
          findChildren(child,nRes,ncount);
      }
    }

    /// Perform the per-event analysis
    void analyze(const Event& event) {
      // get the axis, direction of incoming electron
      const ParticlePair& beams = apply<Beam>(event, "Beams").beams();
      Vector3 axis;
      if(beams.first.pid()>0)
        axis = beams.first .momentum().p3().unit();
      else
        axis = beams.second.momentum().p3().unit();
      // types of final state particles
      const FinalState& fs = apply<FinalState>(event, "FS");
      map<long,int> nCount;
      int ntotal(0);
      for (const Particle& p :  fs.particles()) {
        nCount[p.pid()] += 1;
        ++ntotal;
      }

      const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
      for (const Particle& p :  ufs.particles(Cuts::abspid==3312 or Cuts::abspid==3224 or Cuts::abspid==3114)) {
        if(p.children().empty()) continue;
        map<long,int> nRes=nCount;
        int ncount = ntotal;
        findChildren(p,nRes,ncount);
        bool matched=false;
        // check for antiparticle
        for (const Particle& p2 :  ufs.particles(Cuts::pid==-p.pid())) {
          if(p2.children().empty()) continue;
          map<long,int> nRes2=nRes;
          int ncount2 = ncount;
          findChildren(p2,nRes2,ncount2);
          if(ncount2==0) {
            matched = true;
            for(auto const & val : nRes2) {
              if(val.second!=0) {
                matched = false;
                break;
              }
            }
            // fond baryon and antibaryon
            if(matched) {
              // calc cosine
              double ctheta;
              if(p.pid()>0)
                ctheta = p .momentum().p3().unit().dot(axis);
              else
                ctheta = p2.momentum().p3().unit().dot(axis);
              if(abs(p.pid())==3312)
                _h_xi ->fill(ctheta);
              else if(abs(p.pid())==3114)
                _h_sigm->fill(ctheta);
              else if(abs(p.pid())==3224)
                _h_sigp->fill(ctheta);
              break;
            }
          }
        }
        if(matched) break;
      }
    }

    pair<double,pair<double,double> > calcAlpha(Histo1DPtr hist) {
      if(hist->numEntries()==0.) return make_pair(0.,make_pair(0.,0.));
      double d = 3./(pow(hist->xMax(),3)-pow(hist->xMin(),3));
      double c = 3.*(hist->xMax()-hist->xMin())/(pow(hist->xMax(),3)-pow(hist->xMin(),3));
      double sum1(0.),sum2(0.),sum3(0.),sum4(0.),sum5(0.);
      for (const auto& bin : hist->bins() ) {
        double Oi = bin.sumW();
        if(Oi==0.) continue;
        double a =  d*(bin.xMax() - bin.xMin());
        double b = d/3.*(pow(bin.xMax(),3) - pow(bin.xMin(),3));
        double Ei = bin.errW();
        sum1 +=   a*Oi/sqr(Ei);
        sum2 +=   b*Oi/sqr(Ei);
        sum3 += sqr(a)/sqr(Ei);
        sum4 += sqr(b)/sqr(Ei);
        sum5 +=    a*b/sqr(Ei);
      }
      // calculate alpha
      double alpha = (-c*sum1 + sqr(c)*sum2 + sum3 - c*sum5)/(sum1 - c*sum2 + c*sum4 - sum5);
      // and error
      double cc = -pow((sum3 + sqr(c)*sum4 - 2*c*sum5),3);
      double bb = -2*sqr(sum3 + sqr(c)*sum4 - 2*c*sum5)*(sum1 - c*sum2 + c*sum4 - sum5);
      double aa =  sqr(sum1 - c*sum2 + c*sum4 - sum5)*(-sum3 - sqr(c)*sum4 + sqr(sum1 - c*sum2 + c*sum4 - sum5) + 2*c*sum5);
      double dis = sqr(bb)-4.*aa*cc;
      if(dis>0.) {
        dis = sqrt(dis);
        return make_pair(alpha,make_pair(0.5*(-bb+dis)/aa,-0.5*(-bb-dis)/aa));
      }
      else {
        return make_pair(alpha,make_pair(0.,0.));
      }
    }

    /// Normalise histograms etc., after the run
    void finalize() {
      // find energy
      int ioff=0;
      if(isCompatibleWithSqrtS(3.1*GeV,1e-1)) ioff=1;
      else if (isCompatibleWithSqrtS(3.686*GeV, 1E-1)) ioff=4;
      vector< pair<double,pair<double,double> > > alpha;
      normalize(_h_xi,1.,false);
      alpha.push_back(calcAlpha(_h_xi));
      normalize(_h_sigm,1.,false);
      alpha.push_back(calcAlpha(_h_sigm));
      normalize(_h_sigp,1.,false);
      alpha.push_back(calcAlpha(_h_sigp));
      BinnedEstimatePtr<string> _h_alpha;
      book(_h_alpha,1,1,3);
      for (unsigned int ix=0;ix<3;++ix) {
        _h_alpha->bin(ix+ioff).set(alpha[ix].first,
                                   make_pair(alpha[ix].second.first,
                                             alpha[ix].second.second));
      }
    }
    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h_xi,_h_sigm,_h_sigp;
    /// @}


  };


  RIVET_DECLARE_PLUGIN(BESIII_2016_I1422780);


}
