diff --git a/Hadronization/ColourReconnector.cc b/Hadronization/ColourReconnector.cc --- a/Hadronization/ColourReconnector.cc +++ b/Hadronization/ColourReconnector.cc @@ -1,822 +1,823 @@ // -*- C++ -*- // // ColourReconnector.cc is a part of Herwig - A multi-purpose Monte Carlo event generator // Copyright (C) 2002-2017 The Herwig Collaboration // // Herwig is licenced under version 3 of the GPL, see COPYING for details. // Please respect the MCnet academic guidelines, see GUIDELINES for details. // // // This is the implementation of the non-inlined, non-templated member // functions of the ColourReconnector class. // #include "ColourReconnector.h" #include "Cluster.h" #include #include #include #include #include #include #include #include "Herwig/Utilities/Maths.h" using namespace Herwig; using CluVecIt = ColourReconnector::CluVecIt; using Constants::pi; using Constants::twopi; DescribeClass describeColourReconnector("Herwig::ColourReconnector",""); IBPtr ColourReconnector::clone() const { return new_ptr(*this); } IBPtr ColourReconnector::fullclone() const { return new_ptr(*this); } void ColourReconnector::rearrange(ClusterVector & clusters) { if (_clreco == 0) return; // need at least two clusters if (clusters.size() < 2) return; // do the colour reconnection switch (_algorithm) { case 0: _doRecoPlain(clusters); break; case 1: _doRecoStatistical(clusters); break; case 2: _doRecoBaryonic(clusters); break; } } Energy2 ColourReconnector::_clusterMassSum(const PVector & q, const PVector & aq) const { const size_t nclusters = q.size(); assert (aq.size() == nclusters); Energy2 sum = ZERO; for (size_t i = 0; i < nclusters; i++) sum += ( q[i]->momentum() + aq[i]->momentum() ).m2(); return sum; } bool ColourReconnector::_containsColour8(const ClusterVector & cv, const vector & P) const { assert (P.size() == cv.size()); for (size_t i = 0; i < cv.size(); i++) { tcPPtr p = cv[i]->colParticle(); tcPPtr q = cv[P[i]]->antiColParticle(); if (_isColour8(p, q)) return true; } return false; } void ColourReconnector::_doRecoStatistical(ClusterVector & cv) const { const size_t nclusters = cv.size(); // initially, enumerate (anti)quarks as given in the cluster vector ParticleVector q, aq; for (size_t i = 0; i < nclusters; i++) { q.push_back( cv[i]->colParticle() ); aq.push_back( cv[i]->antiColParticle() ); } // annealing scheme Energy2 t, delta; Energy2 lambda = _clusterMassSum(q,aq); const unsigned _ntries = _triesPerStepFactor * nclusters; // find appropriate starting temperature by measuring the largest lambda // difference in some dry-run random rearrangements { vector typical; for (int i = 0; i < 10; i++) { const pair toswap = _shuffle(q,aq,5); ParticleVector newaq = aq; swap (newaq[toswap.first], newaq[toswap.second]); Energy2 newlambda = _clusterMassSum(q,newaq); typical.push_back( abs(newlambda - lambda) ); } t = _initTemp * Math::median(typical); } // anneal in up to _annealingSteps temperature steps for (unsigned step = 0; step < _annealingSteps; step++) { // For this temperature step, try to reconnect _ntries times. Stop the // algorithm if no successful reconnection happens. unsigned nSuccess = 0; for (unsigned it = 0; it < _ntries; it++) { // make a random rearrangement const unsigned maxtries = 10; const pair toswap = _shuffle(q,aq,maxtries); const int i = toswap.first; const int j = toswap.second; // stop here if we cannot find any allowed reconfiguration if (i == -1) break; // create a new antiquark vector with the two partons swapped ParticleVector newaq = aq; swap (newaq[i], newaq[j]); // Check if lambda would decrease. If yes, accept the reconnection. If no, // accept it only with a probability given by the current Boltzmann // factor. In the latter case we set p = 0 if the temperature is close to // 0, to avoid division by 0. Energy2 newlambda = _clusterMassSum(q,newaq); delta = newlambda - lambda; double prob = 1.0; if (delta > ZERO) prob = ( abs(t) < 1e-8*MeV2 ) ? 0.0 : exp(-delta/t); if (UseRandom::rnd() < prob) { lambda = newlambda; swap (newaq, aq); nSuccess++; } } if (nSuccess == 0) break; // reduce temperature t *= _annealingFactor; } // construct the new cluster vector ClusterVector newclusters; for (size_t i = 0; i < nclusters; i++) { ClusterPtr cl = new_ptr( Cluster( q[i], aq[i] ) ); newclusters.push_back(cl); } swap(newclusters,cv); return; } void ColourReconnector::_doRecoPlain(ClusterVector & cv) const { ClusterVector newcv = cv; // try to avoid systematic errors by randomising the reconnection order long (*p_irnd)(long) = UseRandom::irnd; random_shuffle( newcv.begin(), newcv.end(), p_irnd ); // iterate over all clusters for (CluVecIt cit = newcv.begin(); cit != newcv.end(); cit++) { // find the cluster which, if reconnected with *cit, would result in the // smallest sum of cluster masses // NB this method returns *cit if no reconnection partner can be found CluVecIt candidate = _findRecoPartner(cit, newcv); // skip this cluster if no possible reshuffling partner can be found if (candidate == cit) continue; // accept the reconnection with probability _preco. if (UseRandom::rnd() < _preco) { pair reconnected = _reconnect(*cit, *candidate); // Replace the clusters in the ClusterVector. The order of the // colour-triplet partons in the cluster vector is retained here. // replace *cit by reconnected.first *cit = reconnected.first; // replace candidate by reconnected.second *candidate = reconnected.second; } } swap(cv,newcv); return; } namespace { inline bool hasDiquark(CluVecIt cit) { for(int i = 0; i<(*cit)->numComponents(); i++) { if (DiquarkMatcher::Check(*((*cit)->particle(i)->dataPtr()))) return true; } return false; } } // Implementation of the baryonic reconnection algorithm void ColourReconnector::_doRecoBaryonic(ClusterVector & cv) const { ClusterVector newcv = cv; ClusterVector deleted; deleted.reserve(cv.size()); // try to avoid systematic errors by randomising the reconnection order long (*p_irnd)(long) = UseRandom::irnd; random_shuffle( newcv.begin(), newcv.end(), p_irnd ); // iterate over all clusters for (CluVecIt cit = newcv.begin(); cit != newcv.end(); ++cit) { //avoid clusters already containing diuarks if (hasDiquark(cit)) continue; //skip the cluster to be deleted later 3->2 cluster if (find(deleted.begin(), deleted.end(), *cit) != deleted.end()) continue; // Skip all found baryonic clusters, this biases the algorithm but implementing // something like re-reconnection is ongoing work if ((*cit)->numComponents()==3) continue; // Find a candidate suitable for reconnection CluVecIt baryonic1, baryonic2; bool isBaryonicCandidate = false; CluVecIt candidate = _findPartnerBaryonic(cit, newcv, isBaryonicCandidate, deleted, baryonic1, baryonic2); // skip this cluster if no possible reconnection partner can be found if ( !isBaryonicCandidate && candidate==cit ) continue; if ( isBaryonicCandidate && UseRandom::rnd() < _precoBaryonic ) { deleted.push_back(*baryonic2); // Function that does the reconnection from 3 -> 2 clusters ClusterPtr b1, b2; _makeBaryonicClusters(*cit,*baryonic1,*baryonic2, b1, b2); *cit = b1; *baryonic1 = b2; // Baryonic2 is easily skipped in the next loop } // Normal 2->2 Colour reconnection if ( !isBaryonicCandidate && UseRandom::rnd() < _preco ) { auto reconnected = _reconnectBaryonic(*cit, *candidate); *cit = reconnected.first; *candidate = reconnected.second; } } // create a new vector of clusters except for the ones which are "deleted" during // baryonic reconnection ClusterVector clustervector; for ( const auto & cluster : newcv ) if ( find(deleted.begin(), deleted.end(), cluster) == deleted.end() ) clustervector.push_back(cluster); swap(cv,clustervector); } namespace { double calculateRapidityRF(const Lorentz5Momentum & q1, const Lorentz5Momentum & p2) { //calculate rapidity wrt the direction of q1 //angle between the particles in the RF of cluster of q1 // calculate the z component of p2 w.r.t the direction of q1 + if(q1.rho2()==ZERO) return 0.; const Energy pz = p2.vect() * q1.vect().unit(); if ( pz == ZERO ) return 0.; // Transverse momentum of p2 w.r.t the direction of q1 const Energy pt = sqrt(p2.vect().mag2() - sqr(pz)); // Transverse mass pf p2 w.r.t to the direction of q1 const Energy mtrans = sqrt(p2.mass()*p2.mass() + (pt*pt)); // Correct formula const double y2 = log((p2.t() + abs(pz))/mtrans); return ( pz < ZERO ) ? -y2 : y2; } } CluVecIt ColourReconnector::_findPartnerBaryonic( CluVecIt cl, ClusterVector & cv, bool & baryonicCand, const ClusterVector& deleted, CluVecIt &baryonic1, CluVecIt &baryonic2 ) const { using Constants::pi; using Constants::twopi; // Returns a candidate for possible reconnection CluVecIt candidate = cl; bool bcand = false; double maxrap = 0.0; double minrap = 0.0; double maxrapNormal = 0.0; double minrapNormal = 0.0; double maxsumnormal = 0.0; double maxsum = 0.0; double secondsum = 0.0; // boost into RF of cl Lorentz5Momentum cl1 = (*cl)->momentum(); const Boost boostv(-cl1.boostVector()); cl1.boost(boostv); // boost constituents of cl into RF of cl Lorentz5Momentum p1col = (*cl)->colParticle()->momentum(); Lorentz5Momentum p1anticol = (*cl)->antiColParticle()->momentum(); p1col.boost(boostv); p1anticol.boost(boostv); for (CluVecIt cit=cv.begin(); cit != cv.end(); ++cit) { //avoid looping over clusters containing diquarks if ( hasDiquark(cit) ) continue; if ( (*cit)->numComponents()==3 ) continue; if ( cit==cl ) continue; //skip the cluster to be deleted later 3->2 cluster if ( find(deleted.begin(), deleted.end(), *cit) != deleted.end() ) continue; if ( (*cl)->isBeamCluster() && (*cit)->isBeamCluster() ) continue; // stop it putting far apart clusters together if ( ( (**cl).vertex()-(**cit).vertex() ).m() >_maxDistance ) continue; const bool Colour8 = _isColour8( (*cl)->colParticle(), (*cit)->antiColParticle() ) || _isColour8( (*cit)->colParticle(), (*cl)->antiColParticle() ) ; if ( Colour8 ) continue; // boost constituents of cit into RF of cl Lorentz5Momentum p2col = (*cit)->colParticle()->momentum(); Lorentz5Momentum p2anticol = (*cit)->antiColParticle()->momentum(); p2col.boost(boostv); p2anticol.boost(boostv); // calculate the rapidity of the other constituents of the clusters // w.r.t axis of p1anticol.vect.unit const double rapq = calculateRapidityRF(p1anticol,p2col); const double rapqbar = calculateRapidityRF(p1anticol,p2anticol); // configuration for normal CR if ( rapq > 0.0 && rapqbar < 0.0 && rapq > maxrap && rapqbar < minrap ) { maxrap = rapq; minrap = rapqbar; //sum of rapidities of quarks const double normalsum = abs(rapq) + abs(rapqbar); if ( normalsum > maxsumnormal ) { maxsumnormal = normalsum; maxrapNormal = rapq; minrapNormal = rapqbar; bcand = false; candidate = cit; } } if ( rapq < 0.0 && rapqbar >0.0 && rapqbar > maxrapNormal && rapq < minrapNormal ) { maxrap = rapqbar; minrap = rapq; const double sumrap = abs(rapqbar) + abs(rapq); // first candidate gets here. If second baryonic candidate has higher Ysum than the first // one, the second candidate becomes the first one and the first the second. if (sumrap > maxsum) { if(maxsum != 0){ baryonic2 = baryonic1; baryonic1 = cit; bcand = true; } else { baryonic1 = cit; } maxsum = sumrap; } else { if (sumrap > secondsum && sumrap != maxsum) { secondsum = sumrap; bcand = true; baryonic2 = cit; } } } } if(bcand == true){ baryonicCand = true; } return candidate; } CluVecIt ColourReconnector::_findRecoPartner(CluVecIt cl, ClusterVector & cv) const { CluVecIt candidate = cl; Energy minMass = 1*TeV; for (CluVecIt cit=cv.begin(); cit != cv.end(); ++cit) { // don't even look at original cluster if(cit==cl) continue; // don't allow colour octet clusters if ( _isColour8( (*cl)->colParticle(), (*cit)->antiColParticle() ) || _isColour8( (*cit)->colParticle(), (*cl)->antiColParticle() ) ) { continue; } // stop it putting beam remnants together if((*cl)->isBeamCluster() && (*cit)->isBeamCluster()) continue; // stop it putting far apart clusters together if(((**cl).vertex()-(**cit).vertex()).m()>_maxDistance) continue; // momenta of the old clusters Lorentz5Momentum p1 = (*cl)->colParticle()->momentum() + (*cl)->antiColParticle()->momentum(); Lorentz5Momentum p2 = (*cit)->colParticle()->momentum() + (*cit)->antiColParticle()->momentum(); // momenta of the new clusters Lorentz5Momentum p3 = (*cl)->colParticle()->momentum() + (*cit)->antiColParticle()->momentum(); Lorentz5Momentum p4 = (*cit)->colParticle()->momentum() + (*cl)->antiColParticle()->momentum(); Energy oldMass = abs( p1.m() ) + abs( p2.m() ); Energy newMass = abs( p3.m() ) + abs( p4.m() ); if ( newMass < oldMass && newMass < minMass ) { minMass = newMass; candidate = cit; } } return candidate; } // forms two baryonic clusters from three clusters void ColourReconnector::_makeBaryonicClusters( ClusterPtr &c1, ClusterPtr &c2, ClusterPtr &c3, ClusterPtr &newcluster1, ClusterPtr &newcluster2) const{ //make sure they all have 2 components assert(c1->numComponents()==2); assert(c2->numComponents()==2); assert(c3->numComponents()==2); //abandon children c1->colParticle()->abandonChild(c1); c1->antiColParticle()->abandonChild(c1); c2->colParticle()->abandonChild(c2); c2->antiColParticle()->abandonChild(c2); c3->colParticle()->abandonChild(c3); c3->antiColParticle()->abandonChild(c3); newcluster1 = new_ptr(Cluster(c1->colParticle(),c2->colParticle(), c3->colParticle())); c1->colParticle()->addChild(newcluster1); c2->colParticle()->addChild(newcluster1); c3->colParticle()->addChild(newcluster1); newcluster1->setVertex(LorentzPoint()); newcluster2 = new_ptr(Cluster(c1->antiColParticle(), c2->antiColParticle(), c3->antiColParticle())); c1->antiColParticle()->addChild(newcluster2); c2->antiColParticle()->addChild(newcluster2); c3->antiColParticle()->addChild(newcluster2); newcluster2->setVertex(LorentzPoint()); } pair ColourReconnector::_reconnect(ClusterPtr &c1, ClusterPtr &c2) const { // choose the other possibility to form two clusters from the given // constituents assert(c1->numComponents()==2); assert(c2->numComponents()==2); int c1_col(-1),c1_anti(-1),c2_col(-1),c2_anti(-1); for(unsigned int ix=0;ix<2;++ix) { if (c1->particle(ix)->hasColour(false)) c1_col = ix; else if(c1->particle(ix)->hasColour(true )) c1_anti = ix; if (c2->particle(ix)->hasColour(false)) c2_col = ix; else if(c2->particle(ix)->hasColour(true )) c2_anti = ix; } assert(c1_col>=0&&c2_col>=0&&c1_anti>=0&&c2_anti>=0); ClusterPtr newCluster1 = new_ptr( Cluster( c1->colParticle(), c2->antiColParticle() ) ); newCluster1->setVertex(0.5*( c1->colParticle()->vertex() + c2->antiColParticle()->vertex() )); if(c1->isBeamRemnant(c1_col )) newCluster1->setBeamRemnant(0,true); if(c2->isBeamRemnant(c2_anti)) newCluster1->setBeamRemnant(1,true); ClusterPtr newCluster2 = new_ptr( Cluster( c2->colParticle(), c1->antiColParticle() ) ); newCluster2->setVertex(0.5*( c2->colParticle()->vertex() + c1->antiColParticle()->vertex() )); if(c2->isBeamRemnant(c2_col )) newCluster2->setBeamRemnant(0,true); if(c1->isBeamRemnant(c1_anti)) newCluster2->setBeamRemnant(1,true); return pair (newCluster1, newCluster2); } pair ColourReconnector::_reconnectBaryonic(ClusterPtr &c1, ClusterPtr &c2) const { // choose the other possibility to form two clusters from the given // constituents assert(c1->numComponents()==2); assert(c2->numComponents()==2); int c1_col(-1),c1_anti(-1),c2_col(-1),c2_anti(-1); for(unsigned int ix=0;ix<2;++ix) { if (c1->particle(ix)->hasColour(false)) c1_col = ix; else if(c1->particle(ix)->hasColour(true )) c1_anti = ix; if (c2->particle(ix)->hasColour(false)) c2_col = ix; else if(c2->particle(ix)->hasColour(true )) c2_anti = ix; } assert(c1_col>=0&&c2_col>=0&&c1_anti>=0&&c2_anti>=0); c1->colParticle()->abandonChild(c1); c2->antiColParticle()->abandonChild(c2); ClusterPtr newCluster1 = new_ptr( Cluster( c1->colParticle(), c2->antiColParticle() ) ); c1->colParticle()->addChild(newCluster1); c2->antiColParticle()->addChild(newCluster1); newCluster1->setVertex(0.5*( c1->colParticle()->vertex() + c2->antiColParticle()->vertex() )); if(c1->isBeamRemnant(c1_col )) newCluster1->setBeamRemnant(0,true); if(c2->isBeamRemnant(c2_anti)) newCluster1->setBeamRemnant(1,true); c1->antiColParticle()->abandonChild(c1); c2->colParticle()->abandonChild(c2); ClusterPtr newCluster2 = new_ptr( Cluster( c2->colParticle(), c1->antiColParticle() ) ); c1->antiColParticle()->addChild(newCluster2); c2->colParticle()->addChild(newCluster2); newCluster2->setVertex(0.5*( c2->colParticle()->vertex() + c1->antiColParticle()->vertex() )); if(c2->isBeamRemnant(c2_col )) newCluster2->setBeamRemnant(0,true); if(c1->isBeamRemnant(c1_anti)) newCluster2->setBeamRemnant(1,true); return pair (newCluster1, newCluster2); } pair ColourReconnector::_shuffle (const PVector & q, const PVector & aq, unsigned maxtries) const { const size_t nclusters = q.size(); assert (nclusters > 1); assert (aq.size() == nclusters); int i, j; unsigned tries = 0; bool octet; do { // find two different random integers in the range [0, nclusters) i = UseRandom::irnd( nclusters ); do { j = UseRandom::irnd( nclusters ); } while (i == j); // check if one of the two potential clusters would be a colour octet state octet = _isColour8( q[i], aq[j] ) || _isColour8( q[j], aq[i] ) ; tries++; } while (octet && tries < maxtries); if (octet) i = j = -1; return make_pair(i,j); } bool ColourReconnector::_isColour8(tcPPtr p, tcPPtr q) const { bool octet = false; // make sure we have a triplet and an anti-triplet if ( ( p->hasColour() && q->hasAntiColour() ) || ( p->hasAntiColour() && q->hasColour() ) ) { // true if p and q are originated from a colour octet if ( !p->parents().empty() && !q->parents().empty() ) { octet = ( p->parents()[0] == q->parents()[0] ) && ( p->parents()[0]->data().iColour() == PDT::Colour8 ); } // (Final) option: check if same colour8 parent // or already found an octet. if(_octetOption==0||octet) return octet; // (All) option handling more octets // by browsing particle history/colour lines. tColinePtr cline,aline; // Get colourlines form final states. if(p->hasColour() && q->hasAntiColour()) { cline = p-> colourLine(); aline = q->antiColourLine(); } else { cline = q-> colourLine(); aline = p->antiColourLine(); } // Follow the colourline of p. if ( !p->parents().empty() ) { tPPtr parent = p->parents()[0]; while (parent) { if(parent->data().iColour() == PDT::Colour8) { // Coulour8 particles should have a colour // and an anticolour line. Currently the // remnant has none of those. Since the children // of the remnant are not allowed to emit currently, // the colour octet remnant is handled by the return // statement above. The assert also catches other // colour octets without clines. If the children of // a remnant should be allowed to emit, the remnant // should get appropriate colour lines and // colour states. // See Ticket: #407 // assert(parent->colourLine()&&parent->antiColourLine()); octet = (parent-> colourLine()==cline && parent->antiColourLine()==aline); } if(octet||parent->parents().empty()) break; parent = parent->parents()[0]; } } } return octet; } void ColourReconnector::persistentOutput(PersistentOStream & os) const { os << _clreco << _preco << _precoBaryonic << _algorithm << _initTemp << _annealingFactor << _annealingSteps << _triesPerStepFactor << ounit(_maxDistance,femtometer) << _octetOption; } void ColourReconnector::persistentInput(PersistentIStream & is, int) { is >> _clreco >> _preco >> _precoBaryonic >> _algorithm >> _initTemp >> _annealingFactor >> _annealingSteps >> _triesPerStepFactor >> iunit(_maxDistance,femtometer) >> _octetOption; } void ColourReconnector::Init() { static ClassDocumentation documentation ("This class is responsible of the colour reconnection."); static Switch interfaceColourReconnection ("ColourReconnection", "Colour reconnections", &ColourReconnector::_clreco, 0, true, false); static SwitchOption interfaceColourReconnectionNo (interfaceColourReconnection, "No", "Colour reconnections off", 0); static SwitchOption interfaceColourReconnectionYes (interfaceColourReconnection, "Yes", "Colour reconnections on", 1); static Parameter interfaceMtrpAnnealingFactor ("AnnealingFactor", "The annealing factor is the ratio of the temperatures in two successive " "temperature steps.", &ColourReconnector::_annealingFactor, 0.9, 0.0, 1.0, false, false, Interface::limited); static Parameter interfaceMtrpAnnealingSteps ("AnnealingSteps", "Number of temperature steps in the statistical annealing algorithm", &ColourReconnector::_annealingSteps, 50, 1, 10000, false, false, Interface::limited); static Parameter interfaceMtrpTriesPerStepFactor ("TriesPerStepFactor", "The number of reconnection tries per temperature steps is the number of " "clusters times this factor.", &ColourReconnector::_triesPerStepFactor, 5.0, 0.0, 100.0, false, false, Interface::limited); static Parameter interfaceMtrpInitialTemp ("InitialTemperature", "Factor used to determine the initial temperature from the median of the " "energy change in a few random rearrangements.", &ColourReconnector::_initTemp, 0.1, 0.00001, 100.0, false, false, Interface::limited); static Parameter interfaceRecoProb ("ReconnectionProbability", "Probability that a found reconnection possibility is actually accepted", &ColourReconnector::_preco, 0.5, 0.0, 1.0, false, false, Interface::limited); static Parameter interfaceRecoProbBaryonic ("ReconnectionProbabilityBaryonic", "Probability that a found reconnection possibility is actually accepted", &ColourReconnector::_precoBaryonic, 0.5, 0.0, 1.0, false, false, Interface::limited); static Switch interfaceAlgorithm ("Algorithm", "Specifies the colour reconnection algorithm", &ColourReconnector::_algorithm, 0, true, false); static SwitchOption interfaceAlgorithmPlain (interfaceAlgorithm, "Plain", "Plain colour reconnection as in Herwig 2.5.0", 0); static SwitchOption interfaceAlgorithmStatistical (interfaceAlgorithm, "Statistical", "Statistical colour reconnection using simulated annealing", 1); static SwitchOption interfaceAlgorithmBaryonic (interfaceAlgorithm, "Baryonic", "Baryonic cluster reconnection", 2); static Parameter interfaceMaxDistance ("MaxDistance", "Maximum distance between the clusters at which to consider rearrangement" " to avoid colour reconneections of displaced vertices", &ColourReconnector::_maxDistance, femtometer, 1000.*femtometer, 0.0*femtometer, 1e100*femtometer, false, false, Interface::limited); static Switch interfaceOctetTreatment ("OctetTreatment", "Which octets are not allowed to be reconnected", &ColourReconnector::_octetOption, 0, false, false); static SwitchOption interfaceOctetTreatmentFinal (interfaceOctetTreatment, "Final", "Only prevent for the final (usuaslly non-perturbative) g -> q qbar splitting", 0); static SwitchOption interfaceOctetTreatmentAll (interfaceOctetTreatment, "All", "Prevent for all octets", 1); }