ParticleIdUtils.hh

// -*- C++ -*-
//
// This file is part of MCUtils -- https://gitlab.com/hepcedar/mcutils/
// Copyright (C) 2013-2022 Andy Buckley <andy.buckley@cern.ch>
//
// Embedding of MCUtils code in other projects is permitted provided this
// notice is retained and the MCUtils namespace and include path are changed.
//
#ifndef RIVET_PARTICLEIDUTILS_HH
#define RIVET_PARTICLEIDUTILS_HH
 
 
#include "Rivet/Tools/ParticleName.hh"
#include "Rivet/Math/MathUtils.hh"
#include <cassert>
 
namespace Rivet {
  namespace PID {
 
 
 
    // /// Compile-time int^int power-raising function
    // template <size_t N>
    // inline int _intpow(int x) { return x * _intpow<N-1>(x); }
    // template <>
    // inline int _intpow<0>(int x) { return 1; }
 
    // inline size_t _pow10(unsigned int power) {
    //   return (size_t) std::pow(10.0, power);
    // }
    inline size_t _pow10(unsigned int power) {
      //assert(power >= 0 && "_pow10 only defined for positive powers");
      assert(power < 16 && "_pow10 only defined for powers < 16");
      static const size_t POWS10[] = {1, 10, 100, 1000, 10000, 100000, 1000000,
                                      10000000, 100000000, 1000000000, 10000000000,
                                      100000000000, 1000000000000, 10000000000000,
                                      100000000000000, 1000000000000000, 10000000000000000};
      return POWS10[power];
    }
    // /// Raise 10 to an integer power (constexpr)
    // inline constexpr size_t _pow10(unsigned int power) {
    //   assert(power >= 0 && "_pow10 only defined for positive powers");
    //   return (power > 0) ? 10*_pow10(power-1) : 1;
    // }
 
    enum Location { nj=1, nq3, nq2, nq1, nl, nr, n, n8, n9, n10 };
 
    inline unsigned short _digit(Location loc, int pid) {
      const int div = _pow10(loc-1);
      return (abs(pid)/div) % 10;
    }
 
    inline int _extraBits(int pid) {
      return abs(pid)/10000000;
    }
 
    inline int _fundamentalID(int pid) {
      if (_extraBits(pid) > 0) return 0;
      if (_digit(nq2,pid) == 0 && _digit(nq1,pid) == 0) {
        return abs(pid) % 10000;
      } else if (abs(pid) <= 100) {
        return abs(pid);
      } else {
        return 0;
      }
    }
 
 
 
    // Forward declaration
    inline bool isBSM(int pid);
 
 
 
    inline bool isNucleus(int pid) {
      // A proton can also be a Hydrogen nucleus
      if (abs(pid) == 2212) return true;
      // New standard: +/- 10LZZZAAAI
      if (_digit(n10,pid) == 1 && _digit(n9,pid) == 0) {
        // charge should always be less than or equal to baryon number
        // the following line is A >= Z
        if ((abs(pid)/10) % 1000 >= (abs(pid)/10000) % 1000) return true;
      }
      return false;
    }
 
    inline int nuclZ(int pid) {
      // A proton can also be a Hydrogen nucleus
      if (abs(pid) == 2212) {
        return 1;
      }
      if (isNucleus(pid)) return (abs(pid)/10000) % 1000;
      return 0;
    }
 
    inline int nuclA(int pid) {
      // a proton can also be a Hydrogen nucleus
      if (abs(pid) == 2212) {
        return 1;
      }
      if (isNucleus(pid)) return (abs(pid)/10) % 1000;
      return 0;
    }
 
    inline int nuclNlambda(int pid) {
      // a proton can also be a Hydrogen nucleus
      if (abs(pid) == 2212) {
        return 0;
      }
      if (isNucleus(pid)) return _digit(n8,pid);
      return 0;
    }
 
 
 
 
    inline bool isQuark(int pid) {
      return in_closed_range(abs(pid), 1, 8);
    }
 
    inline bool isGluon(int pid) {
      return pid == GLUON;
    }
 
    inline bool isParton(int pid) {
      return isGluon(pid) || isQuark(pid);
    }
 
 
    inline bool isPhoton(int pid) {
      return pid == PHOTON;
    }
 
    inline bool isElectron(int pid) {
      return abs(pid) == ELECTRON;
    }
 
    inline bool isMuon(int pid) {
      return abs(pid) == MUON;
    }
 
    inline bool isTau(int pid) {
      return abs(pid) == TAU;
    }
 
    inline bool isChargedLepton(int pid) {
      const long apid = abs(pid);
      return apid == 11 || apid == 13 || apid == 15 || apid == 17;
    }
 
    inline bool isNeutrino(int pid) {
      const long apid = abs(pid);
      return apid == 12 || apid == 14 || apid == 16 || apid == 18;
    }
 
 
    inline bool isWplus(int pid) {
      return pid == WPLUSBOSON;
    }
 
    inline bool isWminus(int pid) {
      return pid == WMINUSBOSON;
    }
 
    inline bool isW(int pid) {
      return abs(pid) == WPLUSBOSON;
    }
 
    inline bool isZ(int pid) {
      return pid == Z0BOSON;
    }
 
    inline bool isHiggs(int pid) {
      return pid == HIGGSBOSON || pid == 26; //< @todo Check on 26 still needed? (used in HERWIG SUSY, for example)
    }
 
 
 
    inline bool isGraviton(int pid) {
      return pid == GRAVITON;
    }
 
 
    // /// Determine if the PID is that of a d/dbar
    // inline bool isDown(int pid) { return abs(pid) == DQUARK; }
 
    // /// Determine if the PID is that of a u/ubar
    // inline bool isUp(int pid) { return abs(pid) == UQUARK; }
 
    inline bool isStrange(int pid) {
      return abs(pid) == SQUARK;
    }
 
    inline bool isCharm(int pid) {
      return abs(pid) == CQUARK;
    }
 
    inline bool isBottom(int pid) {
      return abs(pid) == BQUARK;
    }
 
    inline bool isTop(int pid) {
      return abs(pid) == TQUARK;
    }
 
 
 
 
    inline bool isReggeon(int pid) {
      return pid == 110 || pid == 990 || pid == 9990;
    }
 
    inline bool isMeson(int pid) {
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid)) return false;
      const int aid = abs(pid);
      if (aid == 130 || aid == 310 || aid == 210) return true; //< special cases for kaons
      if (aid <= 100) return false;
      if (_digit(nq1,pid) != 0) return false;
      if (_digit(nq2,pid) == 0) return false;
      if (_digit(nq3,pid) == 0) return false;
      if (_digit(nq2,pid) < _digit(nq3,pid)) return false;
      // EvtGen uses some odd numbers
      if (aid == 150 || aid == 350 || aid == 510 || aid == 530) return true;
      // Pomeron, Reggeon, etc.
      if (isReggeon(pid)) return false; //true; //< WTF?
      // Check for illegal antiparticles
      if (_digit(nj,pid) > 0 && _digit(nq3,pid) > 0 && _digit(nq2,pid) > 0 && _digit(nq1,pid) == 0) {
        return !(_digit(nq3,pid) == _digit(nq2,pid) && pid < 0);
      }
      return false;
    }
 
    inline bool isBaryon(int pid) {
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid)) return false;
      if (abs(pid) <= 100) return false;
      if (_fundamentalID(pid) <= 100 && _fundamentalID(pid) > 0) return false;
      if (abs(pid) == 2110 || abs(pid) == 2210) return true; 
      if (_digit(nj,pid) == 0) return false;
      if (_digit(nq1,pid) == 0 || _digit(nq2,pid) == 0 || _digit(nq3,pid) == 0) return false;
      return true;
      // if ((_digit(nq1,pid) >= _digit(nq2,pid) && _digit(nq2,pid) >= _digit(nq3,pid)) ||
      //     (_digit(nq1,pid) > _digit(nq3,pid) && _digit(nq3,pid) > _digit(nq2,pid)) || //< case 6b for lighter quarks in J=1
      //     (_digit(nq3,pid) > _digit(nq1,pid) && _digit(nq1,pid) > _digit(nq2,pid))) //< case 6e for extra states in excited multiplets
      //   return true;
      // return false;
    }
 
    // Check to see if this is a valid diquark
    inline bool isDiquark(int pid) {
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid)) return false;
      if (abs(pid) <= 100) return false;
      if (_fundamentalID(pid) <= 100 && _fundamentalID(pid) > 0) return false;
      if (_digit(nq1,pid) == 0) return false;
      if (_digit(nq2,pid) == 0) return false;
      if (_digit(nq3,pid) != 0) return false;
      if (_digit(nq1,pid) < _digit(nq2,pid)) return false;
      if (_digit(nj,pid) > 0  && _digit(nq3,pid) == 0 && _digit(nq2,pid) > 0 && _digit(nq1,pid) > 0) return true; // diquark signature
      // EvtGen uses the diquarks for quark pairs, so, for instance, 5501 is a valid "diquark" for EvtGen
      // if (_digit(nj) == 1 && _digit(nq2) == _digit(nq1)) {    // illegal
      //    return false;
      // } else {
      //  return true;
      // }
      return false;
    }
 
    inline bool isPentaquark(int pid) {
      // a pentaquark is of the form 9abcdej,
      // where j is the spin and a, b, c, d, and e are quarks
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid)) return false;
      if (_digit(n,pid) != 9)  return false;
      if (_digit(nr,pid) == 9 || _digit(nr,pid) == 0)  return false;
      if (_digit(nj,pid) == 9 || _digit(nl,pid) == 0)  return false;
      if (_digit(nq1,pid) == 0)  return false;
      if (_digit(nq2,pid) == 0)  return false;
      if (_digit(nq3,pid) == 0)  return false;
      if (_digit(nj,pid) == 0)  return false;
      // check ordering
      if (_digit(nq2,pid) > _digit(nq1,pid))  return false;
      if (_digit(nq1,pid) > _digit(nl,pid))  return false;
      if (_digit(nl,pid) > _digit(nr,pid))  return false;
      return true;
    }
 
    inline bool isHadron(int pid) {
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid) > 0) return false;
      if (isMeson(pid)) return true;
      if (isBaryon(pid)) return true;
      if (isPentaquark(pid)) return true;
      return false;
    }
 
 
 
 
    inline bool isLepton(int pid) {
      if (_extraBits(pid) > 0) return false;
      if (isBSM(pid) > 0) return false;
      if (_fundamentalID(pid) >= 11 && _fundamentalID(pid) <= 18) return true;
      return false;
    }
 
    inline bool isBSMBoson(int pid) {
      return in_closed_range(abs(pid), 32, 37);
    }
 
    inline bool isSMFundamental(int pid) {
      return isQuark(pid) || isLepton(pid) ||
        isGluon(pid) || isPhoton(pid) || isW(pid) || isZ(pid) || isHiggs(pid) ||
        isBSMBoson(pid) || isGraviton(pid);
    }
 
    inline bool isSUSY(int pid) {
      // Fundamental SUSY particles have n = 1 or 2
      if (_extraBits(pid) > 0) return false;
      if (_digit(n,pid) != 1 && _digit(n,pid) != 2)  return false;
      if (_digit(nr,pid) != 0)  return false;
      // Check fundamental part for SM PID on which it is based
      const int fundId = _fundamentalID(pid);
      if (fundId == 0) return false;
      if (_digit(n,pid) == 1) { // most superpartners, incl LH sfermions
        return isSMFundamental(fundId);
      } else if (_digit(n,pid) == 2) { // RH sfermions
        return isQuark(fundId) || isChargedLepton(fundId);
      }
      return true;
    }
 
    inline bool isRHadron(int pid) {
      // An R-hadron is of the form 10abcdj,
      // where j is the spin and a, b, c, and d are quarks or gluons
      if (_extraBits(pid) > 0) return false;
      if (_digit(n,pid) != 1)  return false;
      if (_digit(nr,pid) != 0)  return false;
      // Make sure this isn't a SUSY particle
      if (isSUSY(pid)) return false;
      // All R-hadrons have at least 3 core digits
      if (_digit(nq2,pid) == 0)  return false;
      if (_digit(nq3,pid) == 0)  return false;
      if (_digit(nj,pid) == 0)  return false;
      return true;
    }
    inline bool isRhadron(int pid) {
      return isRHadron(pid);
    }
 
    inline bool isTechnicolor(int pid) {
      if (_extraBits(pid) > 0) return false;
      return _digit(n,pid) == 3;
    }
 
    inline bool isExcited(int pid) {
      if (_extraBits(pid) > 0) return false;
      return _digit(n,pid) == 4 && _digit(nr,pid) == 0;
    }
 
    inline bool isKK(int pid) {
      if (_extraBits(pid) > 0) return false;
      const int ndigit = _digit(n,pid);
      return ndigit == 5 || ndigit == 6;
    }
 
    inline bool isLeptoQuark(int pid) {
      // Many UFO models are extending the PDG standards... is this going to be official?
      return abs(pid) == 42;
    }
 
    inline bool isDarkMatter(int pid) {
      const int ndigit = _digit(n,pid);
      const int nrdigit = _digit(nr,pid);
      if ((ndigit == 0 && nrdigit == 0) || (ndigit == 5 && nrdigit == 9))
        return in_closed_range(abs(_fundamentalID(pid)),50,60);
      return false;
    }
    inline bool isDM(int pid) {
      return isDarkMatter(pid);
    }
 
    inline bool isHiddenValley(int pid) {
      return (_digit(n,pid) == 4 && _digit(nr,pid) == 9);
    }
 
    inline bool isExotic(int pid) {
      // From the PDG definition, 40-80 reserved for exotic particles
      // Some overlap with ranges from other functions (e.g. isDM)
      // Also covers R0 (41)
      return in_closed_range(abs(pid),40,80);
    }
 
    inline bool isFourthGen(int pid) {
      return abs(pid) == BPRIME || abs(pid) == TPRIME || abs(pid) == LPRIME || abs(pid) == NUPRIME;
    }
 
    inline bool isMagMonopole(int pid) {
      if (_digit(n,pid) != 4) return false;
      if (_digit(nr,pid) != 1) return false;
      if (_digit(nl,pid) != 1 && _digit(nl,pid) != 2) return false;
      // Require at least 1 core digit
      // NOT TRUE! Electrically neutral monopoles are possible
      // if (_digit(nq3,pid) == 0)  return false;
      // Always have spin zero for now
      if (_digit(nj,pid) != 0) return false;
      return true;
    }
    inline bool isDyon(int pid) {
      return isMagMonopole(pid);
    }
 
    inline bool isQBall(int pid) {
      if (_extraBits(pid) != 1) return false;
      if (_digit(n,pid) != 0) return false;
      if (_digit(nr,pid) != 0) return false;
      // Check the core number
      if ((abs(pid)/10) % 10000 == 0) return false;
      // These particles have spin zero for now
      if (_digit(nj,pid) != 0) return false;
      return true;
    }
    inline bool isQball(int pid) {
      return isQBall(pid);
    }
 
    inline bool isExcitedLepton(int pid) {
      if (!isExcited(pid)) return false;
      return isLepton( _fundamentalID(pid) );
    }
 
    inline bool isBlackHole(int pid) {
      if (_digit(n,pid) != 5 && _digit(n,pid) != 6) return false;
      if (_digit(nl,pid) != 0) return false;
      return _fundamentalID(pid)==40;
    }
 
    inline bool isAECO(int pid) {
      if (_digit( n,pid) != 1) return false;
      if (_digit(nr,pid) != 0) return false;
      if (_digit(nl,pid) != 0) return false;
      if (_digit(nj,pid) != 0) return false;
      return true;
    }
 
    inline bool isBSM(int pid) {
      return isSUSY(pid) || isRHadron(pid) || isTechnicolor(pid) ||
        isExcited(pid) || isKK(pid) || isGraviton(pid) ||
        isBSMBoson(pid) || isLeptoQuark(pid) || isDM(pid) || isHiddenValley(pid) ||
        isExotic(pid) || isFourthGen(pid) || isBlackHole(pid) ||
        isDyon(pid) || isQball(pid) || isAECO(pid);
    }
 
    inline bool _isValid(int pid) {
      // Starting with 99 means anything goes (but nothing is known)
      if (_digit(n, pid) == 9 && _digit(nr, pid) == 9) return true;
      // Check that extra bits are only used for nuclei
      if (_extraBits(pid) > 0) return (isNucleus(pid) || isQball(pid));
      // Check that it fits into a standard non-nucleus convention
      if (isBSM(pid)) return true;
      if (isHadron(pid)) return true;
      if (_digit(n,pid) == 9 && _digit(nr,pid) == 0) return false; // could only have been a tentative hadron, but !isHadron
      if (isDiquark(pid)) return true;
      if (isPentaquark(pid)) return true;
      if (isReggeon(pid)) return true;
      // // Quark digit orderings required by the standard
      // if (_digit(nq1,pid) != 0 && _digit(nq1,pid) < _digit(nq2,pid)) return false;
      // if (_digit(nq2,pid) != 0 && _digit(nq2,pid) < _digit(nq3,pid)) return false;
      // Final check on fundamental ID
      return (_fundamentalID(pid) > 0);
    }
    inline bool isValid(int pid) {
      return _isValid(pid);
    }
 
 
 
 
    inline bool _hasQ(int pid, int q) {
      if (abs(pid) == q) return true; //< trivial case!
      if (!_isValid(pid)) return false;
      // if (_extraBits(pid) > 0) return false;
      // if (_fundamentalID(pid) > 0) return false;
      if (isMagMonopole(pid)) return false;
      if (isRHadron(pid)) {
        int iz = 7;
        for (int i = 6; i > 1; --i) {
          if (_digit(Location(i), pid) == 0) {
            iz = i;
          } else if ( i == iz-1 ) {
            // ignore squark or gluino
          } else {
            if (_digit(Location(i),pid) == q) return true;
          }
        }
        return false;
      }
      if (_digit(nq3,pid) == q || _digit(nq2,pid) == q || _digit(nq1,pid) == q ) return true;
      if (isPentaquark(pid)) {
        if (_digit(nl,pid) == q || _digit(nr,pid) == q) return true;
      }
      return false;
    }
 
    inline bool hasDown(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 1);
    }
    inline bool hasUp(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 2);
    }
    inline bool hasStrange(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 3);
    }
    inline bool hasCharm(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 4);
    }
    inline bool hasBottom(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 5);
    }
    inline bool hasTop(int pid) {
      return (isHadron(pid) || isQuark(pid)) && _hasQ(pid, 6);
    }
 
 
 
 
    inline bool isHeavyFlavor(int pid) {
      if (!isHadron(pid) && !isQuark(pid)) return false;
      return hasCharm(pid) || hasBottom(pid) || hasTop(pid);
    }
    inline bool isHeavyFlavour(int pid) {
      return isHeavyFlavor(pid);
    }
 
 
    // /// Determine if the particle is a light-flavour hadron or parton
    // inline bool isLightFlavor(int pid) {
    //   return !isHeavyFlavor();
    // }
 
 
    inline bool isHeavyParton(int pid) {
      return isParton(pid) && isHeavyFlavor(pid);
    }
 
    inline bool isLightParton(int pid) {
      return isParton(pid) && !isHeavyFlavor(pid);
    }
 
 
    inline bool isHeavyMeson(int pid) {
      return isMeson(pid) && isHeavyFlavor(pid);
    }
 
    inline bool isHeavyBaryon(int pid) {
      return isBaryon(pid) && isHeavyFlavor(pid);
    }
 
    inline bool isHeavyHadron(int pid) {
      return isHadron(pid) && isHeavyFlavor(pid);
    }
 
    inline bool isLightMeson(int pid) {
      return isMeson(pid) && !isHeavyFlavor(pid);
    }
 
    inline bool isLightBaryon(int pid) {
      return isBaryon(pid) && !isHeavyFlavor(pid);
    }
 
    inline bool isLightHadron(int pid) {
      return isHadron(pid) && !isHeavyFlavor(pid);
    }
 
 
    inline bool isBottomMeson(int pid) {
      return hasBottom(pid) && isMeson(pid);
    }
 
    inline bool isBottomBaryon(int pid) {
      return hasBottom(pid) && isBaryon(pid);
    }
 
    inline bool isBottomHadron(int pid) {
      return hasBottom(pid) && isHadron(pid);
    }
 
 
    inline bool isCharmMeson(int pid) {
      return isMeson(pid) && hasCharm(pid) &&
        !hasBottom(pid);
    }
 
    inline bool isCharmBaryon(int pid) {
      return isBaryon(pid) && hasCharm(pid) &&
        !hasBottom(pid);
    }
 
    inline bool isCharmHadron(int pid) {
      return isHadron(pid) && hasCharm(pid) &&
        !hasBottom(pid);
    }
 
 
    inline bool isStrangeMeson(int pid) {
      return isMeson(pid) && hasStrange(pid) &&
        !(hasBottom(pid) || hasCharm(pid));
    }
 
    inline bool isStrangeBaryon(int pid) {
      return isBaryon(pid) && hasStrange(pid) &&
        !(hasBottom(pid) || hasCharm(pid));
    }
 
    inline bool isStrangeHadron(int pid) {
      return isHadron(pid) && hasStrange(pid) &&
        !(hasBottom(pid) || hasCharm(pid));
    }
 
 
 
 
 
    inline int jSpin(int pid) {
      const int fund = _fundamentalID(pid);
      if (fund > 0) {
        // some of these are known
        if (fund > 0 && fund < 7) return 2;
        if (fund == 9) return 3;
        if (fund > 10 && fund < 17) return 2;
        if (fund > 20 && fund < 25) return 3;
        return 0;
      } else if (_extraBits(pid) > 0) {
        return 0;
      }
      return abs(pid) % 10;
    }
 
    inline int sSpin(int pid) {
      // Handle invalid cases first
      if (!isMeson(pid)) return 0;
      if (_digit(n,pid) == 9 && _digit(nr,pid) == 0) return 0; // tentative ID
      // Special generic DM particles with defined spins
      const int fund = _fundamentalID(pid);
      if (fund == 51 || fund == 54) return 1;
      if (fund == 52) return 2;
      if (fund == 53 || fund == 55) return 3;
      // Calculate from nl and nj digits
      const int inl = _digit(nl,pid);
      const int js = _digit(nj,pid);
      if (inl == 0 && js >= 3) return 1;
      else if (inl == 0  && js == 1) return 0;
      else if (inl == 1  && js >= 3) return 0;
      else if (inl == 2  && js >= 3) return 1;
      else if (inl == 1  && js == 1) return 1;
      else if (inl == 3  && js >= 3) return 1;
      // Default to zero
      return 0;
    }
 
    inline int lSpin(int pid) {
      // Handle invalid cases first
      if (!isMeson(pid)) return 0;
      if (_digit(n,pid) == 9 && _digit(nr,pid) == 0) return 0; // tentative ID
      // Calculate from nl and nj digits
      const int inl = _digit(nl,pid);
      const int js = _digit(nj,pid);
      if (inl == 0 && js == 3) return 0;
      else if (inl == 0 && js == 5) return 1;
      else if (inl == 0 && js == 7) return 2;
      else if (inl == 0 && js == 9) return 3;
      else if (inl == 0 && js == 1) return 0;
      else if (inl == 1 && js == 3) return 1;
      else if (inl == 1 && js == 5) return 2;
      else if (inl == 1 && js == 7) return 3;
      else if (inl == 1 && js == 9) return 4;
      else if (inl == 2 && js == 3) return 1;
      else if (inl == 2 && js == 5) return 2;
      else if (inl == 2 && js == 7) return 3;
      else if (inl == 2 && js == 9) return 4;
      else if (inl == 1 && js == 1) return 1;
      else if (inl == 3 && js == 3) return 2;
      else if (inl == 3 && js == 5) return 3;
      else if (inl == 3 && js == 7) return 4;
      else if (inl == 3 && js == 9) return 5;
      // Default to zero
      return 0;
    }
 
 
 
 
    inline int charge3(int pid) {
      static int ch100[100] = { -1,  2, -1, 2, -1, 2, -1, 2, 0, 0,
                                -3,  0, -3, 0, -3, 0, -3, 0, 0, 0,
                                 0,  0,  0, 3,  0, 0,  0, 0, 0, 0,
                                 0,  0,  0, 3,  0, 0,  3, 0, 0, 0,
                                 0, -1,  0, 0,  0, 0,  0, 0, 0, 0,
                                 0,  6,  3, 6,  0, 0,  0, 0, 0, 0,
                                 0,  0,  0, 0,  0, 0,  0, 0, 0, 0,
                                 0,  0,  0, 0,  0, 0,  0, 0, 0, 0,
                                 0,  0,  0, 0,  0, 0,  0, 0, 0, 0,
                                 0,  0,  0, 0,  0, 0,  0, 0, 0, 0 };
      // Shortcuts for common particles
      const int ida = abs(pid);
      if (pid == 21 || pid == 22) return 0; // gluon and photon
      if (ida == 211) return std::signbit(pid) ? -3 : 3; // charged pion
      if (pid == 111) return 0; // neutral pion
      // if (ida == 12 || ida == 14 || ida == 16) return 0; // neutrinos
      // if (ida == 11 || ida == 13 || ida == 15) return std::signbit(pid) ? +3 : -3; // leptons
      // if (ida == 1 || ida == 3 || ida == 5) return std::signbit(pid) ? +1 : -1; // quarks
      // if (ida == 2 || ida == 4 || ida == 6) return std::signbit(pid) ? -2 : +2; // quarks
      // Standard decoding
      const unsigned short q1 = _digit(nq1,pid);
      const unsigned short q2 = _digit(nq2,pid);
      const unsigned short q3 = _digit(nq3,pid);
      const unsigned short ql = _digit(nl,pid);
      const int sid = _fundamentalID(pid);
      int ch3 = 0;
      if (ida == 0 || _extraBits(pid) > 0) { // ion or illegal
        return 0;
      } else if (sid > 0 && sid <= 100) { // Use table
        if (ida == 1000017 || ida == 1000018 || ida == 1000034) ch3 = 0;
        else if (ida > 1000050 && ida <= 1000060) ch3 = 0; // ?
        else if (ida > 50 && ida <= 60) ch3 = 0; // Generic DM
        else if (ida == 5100061 || ida == 5100062) ch3 = 6;
        else ch3 = ch100[sid-1];
      } else if (_digit(nj,pid) == 0) { // KL, Ks, or undefined
        return 0;
      } else if (isMeson(pid)) { // Mesons
        ch3 = ((q2 == 3 || q2 == 5) ? -1 : 1) * (ch100[q2-1] - ch100[q3-1]);
      } else if (isBaryon(pid)) { // Baryons
        ch3 = ch100[q3-1] + ch100[q2-1] + ch100[q1-1];
      } else if (isQBall(pid) ) { // QBall
        ch3 = 3*( (ida/10) % 10000);
      } else if (isHiddenValley(pid) ) { // Hidden Valley
        return 0;
      } else if (isDyon(pid) ) { // Dyon
        ch3 = 3*( (ida/10) %  1000) * (ql == 2 ? -1 : 1); //< NB. charge is flipped at the end if pid < 0
      } else if (isRHadron(pid) ) { // R-hadron
        if (q1 == 0 || q1 == 9) { //< gluino+q+qbar
          if (q2 == 3 || q2 == 5) {
            ch3 = ch100[q3-1] - ch100[q2-1];
          } else {
            ch3 = ch100[q2-1] - ch100[q3-1];
          }
        } else if (ql == 0) { //< squark+q+q
          ch3 = ch100[q3-1] + ch100[q2-1] + ch100[q1-1];
        } else if (_digit(nr,pid) == 0) { //< squark+q+q+q
          ch3 = ch100[q3-1] + ch100[q2-1] + ch100[q1-1] + ch100[ql-1];
        }
      } else if (isDiquark(pid)) { // Diquarks
        ch3 = ch100[q2-1] + ch100[q1-1];
      } else { // Unknown
        return 0;
      }
      if (pid < 0) ch3 *= -1;
      return ch3;
    }
 
    inline int abscharge3(int pid) {
      return std::abs(charge3(pid));
    }
 
    inline double charge(int pid) {
      return charge3(pid)/3.0;
    }
 
    inline double abscharge(int pid) {
      return std::abs(charge(pid));
    }
 
 
 
 
    inline bool isCharged(int pid) {
      if (pid >= -8 && pid <= 8) return true; // quarks and anti-quarks
      return charge3(pid) != 0; //< pions, photons and gluons already fast in here
    }
 
    inline bool isNeutral(int pid) {
      return !isCharged(pid);
    }
 
 
 
 
    inline bool isStrongInteracting(int pid) {
      return isParton(pid) || isHadron(pid);
    }
 
    inline bool isEMInteracting(int pid) {
      return isCharged(pid) || isPhoton(pid);
    }
 
    inline bool isWeakInteracting(int pid) {
      return !isGluon(pid) && !isGraviton(pid);
    }
 
 
 
 
    inline bool isGenSpecific(int pid) {
      return in_range(pid, 80, 101);
    }
 
    inline bool isResonance(int pid) {
      return isW(pid) || isZ(pid) || isHiggs(pid) || isTop(pid);
    }
 
    inline bool isTransportable(int pid) {
      // return !isResonance(pid) && !isParton(pid) && !isGenSpecific(pid);
      return isPhoton(pid) || isHadron(pid) || isLepton(pid);
    }
 
 
 
 
    inline bool isSameSign(PdgId a, PdgId b) { return a*b >= 0; }
    inline bool isOppSign(PdgId a, PdgId b) { return !isSameSign(a, b); }
    inline bool isSameFlav(PdgId a, PdgId b) { return abs(a) == abs(b); }
    inline bool isOppFlav(PdgId a, PdgId b) { return !isSameFlav(a, b); }
 
    inline bool isOSSF(PdgId a, PdgId b) { return isOppSign(a, b) && isSameFlav(a, b); }
    inline bool isSSSF(PdgId a, PdgId b) { return isSameSign(a, b) && isSameFlav(a, b); }
    inline bool isOSOF(PdgId a, PdgId b) { return isOppSign(a, b) && isOppFlav(a, b); }
    inline bool isSSOF(PdgId a, PdgId b) { return isSameSign(a, b) && isOppFlav(a, b); }
 
 
 
  }
}
 
#endif