// -*- 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_2017_I1510563 : public Analysis {
  public:

    /// Constructor
    RIVET_DEFAULT_ANALYSIS_CTOR(BESIII_2017_I1510563);


    /// @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_lam, 1, 1, 1);
        book(_h_sig, 1, 1, 3);
      }
      else if (isCompatibleWithSqrtS(3.686*GeV, 1E-1)) {
        book(_h_lam, 1, 1, 2);
        book(_h_sig, 1, 1, 4);
      }
    }

    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;
      }
      // loop over lambda0 and sigma0 baryons
      const UnstableParticles & ufs = apply<UnstableParticles>(event, "UFS");
      for (const Particle& p :  ufs.particles(Cuts::abspid==3122 or Cuts::abspid==3212)) {
        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())==3122)
                _h_lam->fill(ctheta);
              else
                _h_sig->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 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 =  1.5*(bin.xMax() - bin.xMin());
        double b = 0.5*(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 = (-3*sum1 + 9*sum2 + sum3 - 3*sum5)/(sum1 - 3*sum2 + 3*sum4 - sum5);
      // and error
      double cc = -pow((sum3 + 9*sum4 - 6*sum5),3);
      double bb = -2*sqr(sum3 + 9*sum4 - 6*sum5)*(sum1 - 3*sum2 + 3*sum4 - sum5);
      double aa =  sqr(sum1 - 3*sum2 + 3*sum4 - sum5)*(-sum3 - 9*sum4 + sqr(sum1 - 3*sum2 + 3*sum4 - sum5) + 6*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=-1;
      if (isCompatibleWithSqrtS(3.1*GeV,1e-1)) ioff=0;
      else if (isCompatibleWithSqrtS(3.686*GeV, 1E-1))  ioff=1;
      // normalize
      normalize(_h_lam);
      pair<double,pair<double,double> > alpha = calcAlpha(_h_lam);
      Estimate0DPtr _h_alpha_lam;
      book(_h_alpha_lam, 2,2*ioff+1,1);
      _h_alpha_lam->set(alpha.first, alpha.second);
      normalize(_h_sig);
      alpha = calcAlpha(_h_sig);
      Estimate0DPtr _h_alpha_sig;
      book(_h_alpha_sig, 2,2*ioff+2,1);
      _h_alpha_sig->set(alpha.first, alpha.second);
    }

    /// @}


    /// @name Histograms
    /// @{
    Histo1DPtr _h_lam,_h_sig;
    /// @}


  };



  RIVET_DECLARE_PLUGIN(BESIII_2017_I1510563);

}
