RPCSeedPattern.cc

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/*
 *  See header file for a description of this class.
 *
 *
 *  \author Haiyun.Teng - Peking University
 *
 */

#include "RecoMuon/MuonSeedGenerator/src/RPCSeedPattern.h"
#include <RecoMuon/TrackingTools/interface/MuonPatternRecoDumper.h>
#include <MagneticField/Engine/interface/MagneticField.h>
#include <MagneticField/Records/interface/IdealMagneticFieldRecord.h>
#include <TrackingTools/TrajectoryState/interface/TrajectoryStateTransform.h>
#include <TrackingTools/DetLayers/interface/DetLayer.h>
#include <DataFormats/TrajectoryState/interface/PTrajectoryStateOnDet.h>
#include <DataFormats/Common/interface/OwnVector.h>
#include <DataFormats/MuonDetId/interface/RPCDetId.h>
#include <FWCore/Framework/interface/ESHandle.h>
#include <FWCore/MessageLogger/interface/MessageLogger.h>
#include <Geometry/CommonDetUnit/interface/GeomDet.h>
#include <Geometry/RPCGeometry/interface/RPCChamber.h>
#include <Geometry/RPCGeometry/interface/RPCGeometry.h>
#include <Geometry/Records/interface/MuonGeometryRecord.h>

#include "gsl/gsl_statistics.h"
#include "TH1F.h"
#include <cmath>

using namespace std;
using namespace edm;


RPCSeedPattern::RPCSeedPattern() {

    isPatternChecked = false;
    isConfigured = false;
    MagnecticFieldThreshold = 0.5;
}

RPCSeedPattern::~RPCSeedPattern() {

}

void RPCSeedPattern::configure(const edm::ParameterSet& iConfig) {

    MaxRSD = iConfig.getParameter<double>("MaxRSD");
    deltaRThreshold = iConfig.getParameter<double>("deltaRThreshold");
    AlgorithmType = iConfig.getParameter<unsigned int>("AlgorithmType");
    autoAlgorithmChoose = iConfig.getParameter<bool>("autoAlgorithmChoose");
    ZError = iConfig.getParameter<double>("ZError");
    MinDeltaPhi = iConfig.getParameter<double>("MinDeltaPhi");
    MagnecticFieldThreshold = iConfig.getParameter<double>("MagnecticFieldThreshold");
    stepLength = iConfig.getParameter<double>("stepLength");
    sampleCount = iConfig.getParameter<unsigned int>("sampleCount");
    isConfigured = true;
}

RPCSeedPattern::weightedTrajectorySeed RPCSeedPattern::seed(const edm::EventSetup& eSetup, int& isGoodSeed) {

    if(isConfigured == false)
    {
        cout << "Configuration not set yet" << endl;
        return createFakeSeed(isGoodSeed, eSetup);
    }

    // Check recHit number, if fail we return a fake seed and set pattern to "wrong"
    unsigned int NumberofHitsinSeed = nrhit();
    if(NumberofHitsinSeed < 3)
        return createFakeSeed(isGoodSeed, eSetup);
    // If only three recHits, we don't have other choice
    if(NumberofHitsinSeed == 3)
        ThreePointsAlgorithm();

    if(NumberofHitsinSeed > 3)
    {
        if(autoAlgorithmChoose == false)
        {
            cout << "computePtWithmorerecHits" << endl;
            if(AlgorithmType == 0)
                ThreePointsAlgorithm();
            if(AlgorithmType == 1)
                MiddlePointsAlgorithm();
            if(AlgorithmType == 2)
                SegmentAlgorithm();
            if(AlgorithmType == 3)
            {
                if(checkSegment())
                    SegmentAlgorithmSpecial(eSetup);
                else
                {
                    cout << "Not enough recHits for Special Segment Algorithm" << endl;
                    return createFakeSeed(isGoodSeed, eSetup);
                }
            }
        }
        else
        {
            if(checkSegment())
            {
                AlgorithmType = 3;
                SegmentAlgorithmSpecial(eSetup);
            }
            else
            {
                AlgorithmType = 2;
                SegmentAlgorithm();
            }
        }
    }

    // Check the pattern
    if(isPatternChecked == false){
      if(AlgorithmType != 3){
    checkSimplePattern(eSetup);
      } else {
    checkSegmentAlgorithmSpecial(eSetup);
      }
    }

    return createSeed(isGoodSeed, eSetup);
}

void RPCSeedPattern::ThreePointsAlgorithm()
{
    cout << "computePtWith3recHits" << endl;
    unsigned int NumberofHitsinSeed = nrhit();
    // Check recHit number, if fail we set the pattern to "wrong"
    if(NumberofHitsinSeed < 3)
    {
        isPatternChecked = true;
        isGoodPattern = -1;
        return;
    }
    // Choose every 3 recHits to form a part
    unsigned int NumberofPart = NumberofHitsinSeed * (NumberofHitsinSeed - 1) * (NumberofHitsinSeed - 2) / (3 * 2);;
    double *pt = new double[NumberofPart];
    double *pt_err = new double[NumberofPart];
    // Loop for each three-recHits part
    ConstMuonRecHitPointer precHit[3];
    unsigned int n = 0;
    unsigned int NumberofStraight = 0;
    for(unsigned int i = 0; i < (NumberofHitsinSeed - 2); i++)
        for(unsigned int j = (i + 1); j < (NumberofHitsinSeed - 1); j++)
            for(unsigned int k = (j + 1); k < NumberofHitsinSeed; k++)
            {
                precHit[0] = theRecHits[i];
                precHit[1] = theRecHits[j];
                precHit[2] = theRecHits[k];
                bool checkStraight = checkStraightwithThreerecHits(precHit, MinDeltaPhi);
                if(!checkStraight)
                {
                    GlobalVector Center_temp = computePtwithThreerecHits(pt[n], pt_err[n], precHit);
                    // For simple pattern                        
                    Center += Center_temp;
                }
                else
                {
                    // For simple pattern
                    NumberofStraight++;
                    pt[n] = upper_limit_pt;
                    pt_err[n] = 0;
                }
                n++;
            }
    // For simple pattern, only one general parameter for pattern
    if(NumberofStraight == NumberofPart)
    {
        isStraight = true;
        meanRadius = -1;
    }
    else
    {
        isStraight = false;
        Center /= (NumberofPart - NumberofStraight);
        double meanR = 0.;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
            meanR += getDistance(*iter, Center);
        meanR /= NumberofHitsinSeed;
        meanRadius = meanR;
    }

    // Unset the pattern estimation signa
    isPatternChecked = false;

    //double ptmean0 = 0;
    //double sptmean0 = 0;
    //computeBestPt(pt, pt_err, ptmean0, sptmean0, (NumberofPart - NumberofStraight));

    delete [] pt;
    delete [] pt_err;
}

void RPCSeedPattern::MiddlePointsAlgorithm()
{
    cout << "Using middle points algorithm" << endl;
    unsigned int NumberofHitsinSeed = nrhit();
    // Check recHit number, if fail we set the pattern to "wrong"
    if(NumberofHitsinSeed < 4)
    {
        isPatternChecked = true;
        isGoodPattern = -1;
        return;
    }
    double *X = new double[NumberofHitsinSeed];
    double *Y = new double[NumberofHitsinSeed];
    unsigned int n = 0;
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++) 
    {
        X[n] = (*iter)->globalPosition().x();
        Y[n] = (*iter)->globalPosition().y();
        cout << "X[" << n <<"] = " << X[n] << ", Y[" << n <<"]= " << Y[n] << endl;
        n++;
    }
    unsigned int NumberofPoints = NumberofHitsinSeed;
    while(NumberofPoints > 3)
    {
        for(unsigned int i = 0; i <= (NumberofPoints - 2); i++)
        {
            X[i] = (X[i] + X[i+1]) / 2;
            Y[i] = (Y[i] + Y[i+1]) / 2;
        }
        NumberofPoints--;
    }
    double x[3], y[3];
    for(unsigned int i = 0; i < 3; i++)
    {
        x[i] = X[i];
        y[i] = Y[i];
    }
    double pt = 0;
    double pt_err = 0;
    bool checkStraight = checkStraightwithThreerecHits(x, y, MinDeltaPhi);
    if(!checkStraight)
    {

        GlobalVector Center_temp = computePtWithThreerecHits(pt, pt_err, x, y);
        double meanR = 0.;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
            meanR += getDistance(*iter, Center_temp);
        meanR /= NumberofHitsinSeed;
        // For simple pattern
        isStraight = false;
        Center = Center_temp;
        meanRadius = meanR;
    }
    else
    {
        // For simple pattern
        isStraight = true;
        meanRadius = -1;
    }

    // Unset the pattern estimation signa
    isPatternChecked = false;

    delete [] X;
    delete [] Y;
}

void RPCSeedPattern::SegmentAlgorithm()
{
    cout << "Using segments algorithm" << endl;
    unsigned int NumberofHitsinSeed = nrhit();
    // Check recHit number, if fail we set the pattern to "wrong"
    if(NumberofHitsinSeed < 4)
    {
        isPatternChecked = true;
        isGoodPattern = -1;
        return;
    }

    RPCSegment* Segment;
    unsigned int NumberofSegment = NumberofHitsinSeed - 2;
    Segment = new RPCSegment[NumberofSegment];
    unsigned int n = 0;
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != (theRecHits.end()-2); iter++)
    {
        Segment[n].first = (*iter);
        Segment[n].second = (*(iter + 2));
        n++;
    }
    unsigned int NumberofStraight = 0;
    for(unsigned int i = 0; i < NumberofSegment - 1; i++)
    {
        bool checkStraight = checkStraightwithSegment(Segment[i], Segment[i+1], MinDeltaPhi);
        if(checkStraight == true)
        {
            // For simple patterm
            NumberofStraight++;
        }
        else
        {
            GlobalVector Center_temp = computePtwithSegment(Segment[i], Segment[i+1]);
            // For simple patterm
            Center += Center_temp;
        }
    }
    // For simple pattern, only one general parameter for pattern
    if((NumberofSegment-1-NumberofStraight) > 0)
    {
        isStraight = false;
        Center /= (NumberofSegment - 1 - NumberofStraight);
        double meanR = 0.;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
            meanR += getDistance(*iter, Center);
        meanR /= NumberofHitsinSeed;
        meanRadius = meanR;
    }
    else
    {
        isStraight = true;
        meanRadius = -1;
    }

    // Unset the pattern estimation signal
    isPatternChecked = false;

    delete [] Segment;
}

void RPCSeedPattern::SegmentAlgorithmSpecial(const edm::EventSetup& eSetup)
{
    // Get magnetic field
    edm::ESHandle<MagneticField> Field;
    eSetup.get<IdealMagneticFieldRecord>().get(Field);

    //unsigned int NumberofHitsinSeed = nrhit();
    if(!checkSegment())
    {
        isPatternChecked = true;
        isGoodPattern = -1;
        return;
    }

    // Get magnetice field sampling information, recHit's position is not the border of Chamber and Iron
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != (theRecHits.end()-1); iter++) 
    {
        GlobalPoint gpFirst = (*iter)->globalPosition();
        GlobalPoint gpLast = (*(iter+1))->globalPosition();
        GlobalPoint* gp = new GlobalPoint[sampleCount];
        double dx = (gpLast.x() - gpFirst.x()) / (sampleCount + 1);
        double dy = (gpLast.y() - gpFirst.y()) / (sampleCount + 1);
        double dz = (gpLast.z() - gpFirst.z()) / (sampleCount + 1);
        for(unsigned int index = 0; index < sampleCount; index++)
        {
            gp[index] = GlobalPoint((gpFirst.x()+dx*(index+1)), (gpFirst.y()+dy*(index+1)), (gpFirst.z()+dz*(index+1)));
            GlobalVector MagneticVec_temp = Field->inTesla(gp[index]);
            cout << "Sampling magnetic field : " << MagneticVec_temp << endl;
            //BValue.push_back(MagneticVec_temp);
        }
        delete [] gp;
    }

    // form two segments
    ConstMuonRecHitContainer::const_iterator iter=theRecHits.begin();
    for(unsigned int n = 0; n <= 1; n++)
    {
        SegmentRB[n].first = (*iter);
        cout << "SegmentRB " << n << " recHit: " << (*iter)->globalPosition() << endl;
        iter++;
        SegmentRB[n].second = (*iter);
        cout << "SegmentRB " << n << " recHit: " << (*iter)->globalPosition() << endl;
        iter++;
    }
    GlobalVector segvec1 = (SegmentRB[0].second)->globalPosition() - (SegmentRB[0].first)->globalPosition();
    GlobalVector segvec2 = (SegmentRB[1].second)->globalPosition() - (SegmentRB[1].first)->globalPosition();

    // extrapolate the segment to find the Iron border which magnetic field is at large value
    entryPosition = (SegmentRB[0].second)->globalPosition();
    leavePosition = (SegmentRB[1].first)->globalPosition();
    while(fabs(Field->inTesla(entryPosition).z()) < MagnecticFieldThreshold)
    {
        cout << "Entry position is : " << entryPosition << ", and stepping into next point" << endl;
        entryPosition += segvec1.unit() * stepLength;
    }
    // Loop back for more accurate by stepLength/10
    while(fabs(Field->inTesla(entryPosition).z()) >= MagnecticFieldThreshold)
    {   
        cout << "Entry position is : " << entryPosition << ", and stepping back into next point" << endl;
        entryPosition -= segvec1.unit() * stepLength / 10;
    }
    entryPosition += 0.5 * segvec1.unit() * stepLength / 10;
    cout << "Final entry position is : " << entryPosition << endl;

    while(fabs(Field->inTesla(leavePosition).z()) < MagnecticFieldThreshold)
    {
        cout << "Leave position is : " << leavePosition << ", and stepping into next point" << endl;
        leavePosition -= segvec2.unit() * stepLength;
    }
    // Loop back for more accurate by stepLength/10
    while(fabs(Field->inTesla(leavePosition).z()) >= MagnecticFieldThreshold)
    {                      
        cout << "Leave position is : " << leavePosition << ", and stepping back into next point" << endl;
        leavePosition += segvec2.unit() * stepLength / 10;
    }
    leavePosition -= 0.5 * segvec2.unit() * stepLength / 10;
    cout << "Final leave position is : " << leavePosition << endl;

    // Sampling magnetic field in Iron region
    GlobalPoint* gp = new GlobalPoint[sampleCount];
    double dx = (leavePosition.x() - entryPosition.x()) / (sampleCount + 1);
    double dy = (leavePosition.y() - entryPosition.y()) / (sampleCount + 1);
    double dz = (leavePosition.z() - entryPosition.z()) / (sampleCount + 1);
    std::vector<GlobalVector> BValue;
    BValue.clear();
    for(unsigned int index = 0; index < sampleCount; index++)
    {
        gp[index] = GlobalPoint((entryPosition.x()+dx*(index+1)), (entryPosition.y()+dy*(index+1)), (entryPosition.z()+dz*(index+1)));
        GlobalVector MagneticVec_temp = Field->inTesla(gp[index]);
        cout << "Sampling magnetic field : " << MagneticVec_temp << endl;
        BValue.push_back(MagneticVec_temp);
    }
    delete [] gp;
    GlobalVector meanB2(0, 0, 0);
    for(std::vector<GlobalVector>::const_iterator BIter = BValue.begin(); BIter != BValue.end(); BIter++)
        meanB2 += (*BIter);
    meanB2 /= BValue.size();
    cout << "Mean B field is " << meanB2 << endl;
    meanMagneticField2 = meanB2;

    double meanBz2 = meanB2.z();
    double deltaBz2 = 0.;
    for(std::vector<GlobalVector>::const_iterator BIter = BValue.begin(); BIter != BValue.end(); BIter++)
        deltaBz2 += (BIter->z() - meanBz2) * (BIter->z() - meanBz2);;
    deltaBz2 /= BValue.size();
    deltaBz2 = sqrt(deltaBz2);
    cout<< "delta Bz is " << deltaBz2 << endl;

    // Distance of the initial 3 segment
    S = 0;
    bool checkStraight = checkStraightwithSegment(SegmentRB[0], SegmentRB[1], MinDeltaPhi);
    if(checkStraight == true)
    {
        // Just for complex pattern
        isStraight2 = checkStraight;
        Center2 = GlobalVector(0, 0, 0);
        meanRadius2 = -1;
        GlobalVector MomentumVec = (SegmentRB[1].second)->globalPosition() - (SegmentRB[0].first)->globalPosition();
        S += MomentumVec.perp();
        lastPhi = MomentumVec.phi().value();
    }
    else
    {
        GlobalVector seg1 = entryPosition - (SegmentRB[0].first)->globalPosition();
        S += seg1.perp();
        GlobalVector seg2 = (SegmentRB[1].second)->globalPosition() - leavePosition;
        S += seg2.perp();
        GlobalVector vecZ(0, 0, 1);
        GlobalVector gvec1 = seg1.cross(vecZ);
        GlobalVector gvec2 = seg2.cross(vecZ);
        double A1 = gvec1.x();
        double B1 = gvec1.y();
        double A2 = gvec2.x();
        double B2 = gvec2.y();
        double X1 = entryPosition.x();
        double Y1 = entryPosition.y();
        double X2 = leavePosition.x();
        double Y2 = leavePosition.y();
        double XO = (A1*A2*(Y2-Y1)+A2*B1*X1-A1*B2*X2)/(A2*B1-A1*B2);
        double YO = (B1*B2*(X2-X1)+B2*A1*Y1-B1*A2*Y2)/(B2*A1-B1*A2);
        GlobalVector Center_temp(XO, YO, 0);
        // Just for complex pattern
        isStraight2 = checkStraight;
        Center2 = Center_temp;

        cout << "entryPosition: " << entryPosition << endl;
        cout << "leavePosition: " << leavePosition << endl;
        cout << "Center2 is : " << Center_temp << endl;

        double R1 = GlobalVector((entryPosition.x() - Center_temp.x()), (entryPosition.y() - Center_temp.y()), (entryPosition.z() - Center_temp.z())).perp();
        double R2 = GlobalVector((leavePosition.x() - Center_temp.x()), (leavePosition.y() - Center_temp.y()), (leavePosition.z() - Center_temp.z())).perp();
        double meanR = (R1 + R2) / 2;
        double deltaR = sqrt(((R1-meanR)*(R1-meanR)+(R2-meanR)*(R2-meanR))/2);
        meanRadius2 = meanR;
        cout << "R1 is " << R1 << ", R2 is " << R2 << endl;
        cout << "Mean radius is " << meanR << endl;
        cout << "Delta R is " << deltaR << endl;
        double deltaPhi = fabs(((leavePosition-GlobalPoint(XO, YO, 0)).phi()-(entryPosition-GlobalPoint(XO, YO, 0)).phi()).value());
        S += meanR * deltaPhi;
        lastPhi = seg2.phi().value();
    }

    // Unset the pattern estimation signa
    isPatternChecked = false;
}

bool RPCSeedPattern::checkSegment() const
{
    bool isFit = true;
    unsigned int count = 0;
    // first 4 recHits should be located in RB1 and RB2
    for(ConstMuonRecHitContainer::const_iterator iter=theRecHits.begin(); iter!=theRecHits.end(); iter++)
    {
        count++;
        const GeomDet* Detector = (*iter)->det();
        if(dynamic_cast<const RPCChamber*>(Detector) != nullptr)
        {
            const RPCChamber* RPCCh = dynamic_cast<const RPCChamber*>(Detector);
            RPCDetId RPCId = RPCCh->id();
            int Region = RPCId.region();
            unsigned int Station = RPCId.station();
            //int Layer = RPCId.layer();
            if(count <= 4)
            {
                if(Region != 0)
                    isFit = false;
                if(Station > 2)
                    isFit = false;
            }
        }
    }
    // more than 4 recHits for pattern building
    if(count <= 4)
        isFit = false;
    cout << "Check for segment fit: " << isFit << endl;
    return isFit;
}

MuonTransientTrackingRecHit::ConstMuonRecHitPointer RPCSeedPattern::FirstRecHit() const 
{ 
    return theRecHits.front(); 
}

MuonTransientTrackingRecHit::ConstMuonRecHitPointer RPCSeedPattern::BestRefRecHit() const 
{
    ConstMuonRecHitPointer best;
    int index = 0;
    // Use the last one for recHit on last layer has minmum delta Z for barrel or delta R for endcap while calculating the momentum
    // But for Algorithm 3 we use the 4th recHit on the 2nd segment for more accurate
    for (ConstMuonRecHitContainer::const_iterator iter=theRecHits.begin(); iter!=theRecHits.end(); iter++)
    {
        if(AlgorithmType != 3)
            best = (*iter);
        else
            if(index < 4)
                best = (*iter);
        index++;        
    }
    return best;
}

double RPCSeedPattern::getDistance(const ConstMuonRecHitPointer& precHit, const GlobalVector& Center) const
{
    return sqrt((precHit->globalPosition().x()-Center.x())*(precHit->globalPosition().x()-Center.x())+(precHit->globalPosition().y()-Center.y())*(precHit->globalPosition().y()-Center.y()));
}

bool RPCSeedPattern::checkStraightwithThreerecHits(ConstMuonRecHitPointer (&precHit)[3], double MinDeltaPhi) const
{
    GlobalVector segvec1 = precHit[1]->globalPosition() - precHit[0]->globalPosition();
    GlobalVector segvec2 = precHit[2]->globalPosition() - precHit[1]->globalPosition();
    double dPhi = (segvec2.phi() - segvec1.phi()).value();
    if(fabs(dPhi) > MinDeltaPhi)
    {
        cout << "Part is estimate to be not straight" << endl;
        return false;
    }
    else
    {
        cout << "Part is estimate to be straight" << endl;
        return true;
    }
}

GlobalVector RPCSeedPattern::computePtwithThreerecHits(double& pt, double& pt_err, ConstMuonRecHitPointer (&precHit)[3]) const
{
    double x[3], y[3];
    x[0] = precHit[0]->globalPosition().x();
    y[0] = precHit[0]->globalPosition().y();
    x[1] = precHit[1]->globalPosition().x();
    y[1] = precHit[1]->globalPosition().y();
    x[2] = precHit[2]->globalPosition().x();
    y[2] = precHit[2]->globalPosition().y();
    double A = (y[2]-y[1])/(x[2]-x[1]) - (y[1]-y[0])/(x[1]-x[0]);
    double TYO = (x[2]-x[0])/A + (y[2]*y[2]-y[1]*y[1])/((x[2]-x[1])*A) - (y[1]*y[1]-y[0]*y[0])/((x[1]-x[0])*A);
    double TXO = (x[2]+x[1]) + (y[2]*y[2]-y[1]*y[1])/(x[2]-x[1]) - TYO*(y[2]-y[1])/(x[2]-x[1]);
    double XO = 0.5 * TXO;
    double YO = 0.5 * TYO;
    double R2 = (x[0]-XO)*(x[0]-XO) + (y[0]-YO)*(y[0]-YO);
    cout << "R2 is " << R2 << endl;
    // How this algorithm get the pt without magnetic field??
    pt = 0.01 * sqrt(R2) * 2 * 0.3;
    cout << "pt is " << pt << endl;
    GlobalVector Center(XO, YO, 0);
    return Center;
}

bool RPCSeedPattern::checkStraightwithSegment(const RPCSegment& Segment1, const RPCSegment& Segment2, double MinDeltaPhi) const
{
    GlobalVector segvec1 = (Segment1.second)->globalPosition() - (Segment1.first)->globalPosition();
    GlobalVector segvec2 = (Segment2.second)->globalPosition() - (Segment2.first)->globalPosition();
    GlobalVector segvec3 = (Segment2.first)->globalPosition() - (Segment1.first)->globalPosition();
    // compare segvec 1&2 for paralle, 1&3 for straight
    double dPhi1 = (segvec2.phi() - segvec1.phi()).value();
    double dPhi2 = (segvec3.phi() - segvec1.phi()).value();
    cout << "Checking straight with 2 segments. dPhi1: " << dPhi1 << ", dPhi2: " << dPhi2 << endl;
    cout << "Checking straight with 2 segments. dPhi1 in degree: " << dPhi1*180/3.1415926 << ", dPhi2 in degree: " << dPhi2*180/3.1415926 << endl;
    if(fabs(dPhi1) > MinDeltaPhi || fabs(dPhi2) > MinDeltaPhi)
    {
        cout << "Segment is estimate to be not straight" << endl;
        return false;
    }
    else
    {
        cout << "Segment is estimate to be straight" << endl;
        return true;
    }
}

GlobalVector RPCSeedPattern::computePtwithSegment(const RPCSegment& Segment1, const RPCSegment& Segment2) const
{
    GlobalVector segvec1 = (Segment1.second)->globalPosition() - (Segment1.first)->globalPosition();
    GlobalVector segvec2 = (Segment2.second)->globalPosition() - (Segment2.first)->globalPosition();
    GlobalPoint Point1(((Segment1.second)->globalPosition().x() + (Segment1.first)->globalPosition().x()) / 2, ((Segment1.second)->globalPosition().y() + (Segment1.first)->globalPosition().y()) / 2, ((Segment1.second)->globalPosition().z() + (Segment1.first)->globalPosition().z()) / 2);
    GlobalPoint Point2(((Segment2.second)->globalPosition().x() + (Segment2.first)->globalPosition().x()) / 2, ((Segment2.second)->globalPosition().y() + (Segment2.first)->globalPosition().y()) / 2, ((Segment2.second)->globalPosition().z() + (Segment2.first)->globalPosition().z()) / 2);
    GlobalVector vecZ(0, 0, 1);
    GlobalVector gvec1 = segvec1.cross(vecZ);
    GlobalVector gvec2 = segvec2.cross(vecZ);
    double A1 = gvec1.x();
    double B1 = gvec1.y();
    double A2 = gvec2.x();
    double B2 = gvec2.y();
    double X1 = Point1.x();
    double Y1 = Point1.y();
    double X2 = Point2.x();
    double Y2 = Point2.y();
    double XO = (A1*A2*(Y2-Y1)+A2*B1*X1-A1*B2*X2)/(A2*B1-A1*B2);
    double YO = (B1*B2*(X2-X1)+B2*A1*Y1-B1*A2*Y2)/(B2*A1-B1*A2);
    GlobalVector Center(XO, YO, 0);
    return Center;
}

bool RPCSeedPattern::checkStraightwithThreerecHits(double (&x)[3], double (&y)[3], double MinDeltaPhi) const
{
    GlobalVector segvec1((x[1]-x[0]), (y[1]-y[0]), 0);
    GlobalVector segvec2((x[2]-x[1]), (y[2]-y[1]), 0);
    double dPhi = (segvec2.phi() - segvec1.phi()).value();
    if(fabs(dPhi) > MinDeltaPhi)
    {
        cout << "Part is estimate to be not straight" << endl;
        return false;
    }
    else
    {
        cout << "Part is estimate to be straight" << endl;
        return true;
    }
}

GlobalVector RPCSeedPattern::computePtWithThreerecHits(double& pt, double& pt_err, double (&x)[3], double (&y)[3]) const
{
    double A = (y[2]-y[1])/(x[2]-x[1]) - (y[1]-y[0])/(x[1]-x[0]);
    double TYO = (x[2]-x[0])/A + (y[2]*y[2]-y[1]*y[1])/((x[2]-x[1])*A) - (y[1]*y[1]-y[0]*y[0])/((x[1]-x[0])*A);
    double TXO = (x[2]+x[1]) + (y[2]*y[2]-y[1]*y[1])/(x[2]-x[1]) - TYO*(y[2]-y[1])/(x[2]-x[1]);
    double XO = 0.5 * TXO;
    double YO = 0.5 * TYO;
    double R2 = (x[0]-XO)*(x[0]-XO) + (y[0]-YO)*(y[0]-YO);
    cout << "R2 is " << R2 << endl;
    // How this algorithm get the pt without magnetic field??
    pt = 0.01 * sqrt(R2) * 2 * 0.3;
    cout << "pt is " << pt << endl;
    GlobalVector Center(XO, YO, 0);
    return Center;
}

void RPCSeedPattern::checkSimplePattern(const edm::EventSetup& eSetup)
{
    if(isPatternChecked == true)
        return;

    // Get magnetic field
    edm::ESHandle<MagneticField> Field;
    eSetup.get<IdealMagneticFieldRecord>().get(Field);

    unsigned int NumberofHitsinSeed = nrhit();

    // Print the recHit's position
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
        cout << "Position of recHit is: " << (*iter)->globalPosition() << endl;

    // Get magnetice field information
    std::vector<double> BzValue;
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != (theRecHits.end()-1); iter++) 
    {
        GlobalPoint gpFirst = (*iter)->globalPosition();
        GlobalPoint gpLast = (*(iter+1))->globalPosition();
        GlobalPoint *gp = new GlobalPoint[sampleCount];
        double dx = (gpLast.x() - gpFirst.x()) / (sampleCount + 1);
        double dy = (gpLast.y() - gpFirst.y()) / (sampleCount + 1);
        double dz = (gpLast.z() - gpFirst.z()) / (sampleCount + 1);
        for(unsigned int index = 0; index < sampleCount; index++)
        {
            gp[index] = GlobalPoint((gpFirst.x()+dx*(index+1)), (gpFirst.y()+dy*(index+1)), (gpFirst.z()+dz*(index+1)));
            GlobalVector MagneticVec_temp = Field->inTesla(gp[index]);
            cout << "Sampling magnetic field : " << MagneticVec_temp << endl;
            BzValue.push_back(MagneticVec_temp.z());
        }
        delete [] gp;
    }
    meanBz = 0.;
    for(unsigned int index = 0; index < BzValue.size(); index++)
        meanBz += BzValue[index];
    meanBz /= BzValue.size();
    cout << "Mean Bz is " << meanBz << endl;
    deltaBz = 0.;
    for(unsigned int index = 0; index < BzValue.size(); index++)
        deltaBz += (BzValue[index] - meanBz) * (BzValue[index] - meanBz);
    deltaBz /= BzValue.size();
    deltaBz = sqrt(deltaBz);
    cout<< "delata Bz is " << deltaBz << endl;

    // Set isGoodPattern to default true and check the failure 
    isGoodPattern = 1;

    // Check the Z direction
    if(fabs((*(theRecHits.end()-1))->globalPosition().z() - (*(theRecHits.begin()))->globalPosition().z()) > ZError)
    {
        if(((*(theRecHits.end()-1))->globalPosition().z() - (*(theRecHits.begin()))->globalPosition().z()) > ZError)
            isParralZ = 1;
        else
            isParralZ = -1;
    }
    else
        isParralZ = 0;

    cout << " Check isParralZ is :" << isParralZ << endl;
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != (theRecHits.end()-1); iter++) 
    {
        if(isParralZ == 0)
        {
            if(fabs((*(iter+1))->globalPosition().z()-(*iter)->globalPosition().z()) > ZError)
            {
                cout << "Pattern find error in Z direction: wrong perpendicular direction" << endl;
                isGoodPattern = 0;
            }
        }
        else
        {
            if((int)(((*(iter+1))->globalPosition().z()-(*iter)->globalPosition().z())/ZError)*isParralZ < 0)
            {
                cout << "Pattern find error in Z direction: wrong Z direction" << endl;
                isGoodPattern = 0;
            }
        }
    }

    // Check pattern
    if(isStraight == false)
    {
        // Check clockwise direction
        GlobalVector *vec = new GlobalVector[NumberofHitsinSeed];
        unsigned int index = 0;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++) 
        {
            GlobalVector vec_temp(((*iter)->globalPosition().x()-Center.x()), ((*iter)->globalPosition().y()-Center.y()), ((*iter)->globalPosition().z()-Center.z()));
            vec[index] = vec_temp;
            index++;
        }
        isClockwise = 0;
        for(unsigned int index = 0; index < (NumberofHitsinSeed-1); index++)
        {
            // Check phi direction, all sub-dphi direction should be the same
            if((vec[index+1].phi()-vec[index].phi()) > 0)
                isClockwise--;
            else
                isClockwise++;
            cout << "Current isClockwise is : " << isClockwise << endl;
        }
        cout << "Check isClockwise is : " << isClockwise << endl;
        if((unsigned int)abs(isClockwise) != (NumberofHitsinSeed-1))
        {
            cout << "Pattern find error in Phi direction" << endl;
            isGoodPattern = 0;
            isClockwise = 0;
        }
        else
            isClockwise /= abs(isClockwise);
        delete [] vec;

        // Get meanPt and meanSpt
        double deltaRwithBz = fabs(deltaBz * meanRadius / meanBz);
        cout << "deltaR with Bz is " << deltaRwithBz << endl;

        if(isClockwise == 0)
            meanPt = upper_limit_pt;
        else
            meanPt = 0.01 * meanRadius * meanBz * 0.3 * isClockwise;
        if(fabs(meanPt) > upper_limit_pt)
            meanPt = upper_limit_pt * meanPt / fabs(meanPt);
        cout << " meanRadius is " << meanRadius << endl;
        cout << " meanPt is " << meanPt << endl;

        double deltaR = 0.;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++) 
        {
            deltaR += (getDistance(*iter, Center) - meanRadius) * (getDistance(*iter, Center) - meanRadius);
        }
        deltaR = deltaR / NumberofHitsinSeed;
        deltaR = sqrt(deltaR);
        //meanSpt = 0.01 * deltaR * meanBz * 0.3;
        meanSpt = deltaR;
        cout << "DeltaR is " << deltaR << endl;
        if(deltaR > deltaRThreshold)
        {
            cout << "Pattern find error: deltaR over threshold" << endl;
            isGoodPattern = 0;
        }
    }
    else
    {
        // Just set pattern to be straight
        isClockwise =0;
        meanPt = upper_limit_pt;
        // Set the straight pattern with lowest priority among good pattern
        meanSpt = deltaRThreshold;
    }
    cout << "III--> Seed Pt : " << meanPt << endl;
    cout << "III--> Pattern is: " << isGoodPattern << endl;

    // Set the pattern estimation signal
    isPatternChecked = true;
}

void RPCSeedPattern::checkSegmentAlgorithmSpecial(const edm::EventSetup& eSetup)
{
    if(isPatternChecked == true)
        return;

    if(!checkSegment())
    {
        isPatternChecked = true;
        isGoodPattern = -1;
        return;
    }

    // Set isGoodPattern to default true and check the failure 
    isGoodPattern = 1;

    // Print the recHit's position
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
        cout << "Position of recHit is: " << (*iter)->globalPosition() << endl;

    // Check the Z direction
    if(fabs((*(theRecHits.end()-1))->globalPosition().z() - (*(theRecHits.begin()))->globalPosition().z()) > ZError)
    {
        if(((*(theRecHits.end()-1))->globalPosition().z() - (*(theRecHits.begin()))->globalPosition().z()) > ZError)
            isParralZ = 1;
        else
            isParralZ = -1;
    }
    else
        isParralZ = 0;

    cout << " Check isParralZ is :" << isParralZ << endl;
    for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != (theRecHits.end()-1); iter++) 
    {
        if(isParralZ == 0)
        {
            if(fabs((*(iter+1))->globalPosition().z()-(*iter)->globalPosition().z()) > ZError)
            {
                cout << "Pattern find error in Z direction: wrong perpendicular direction" << endl;
                isGoodPattern = 0;
            }
        }
        else
        {
            if((int)(((*(iter+1))->globalPosition().z()-(*iter)->globalPosition().z())/ZError)*isParralZ < 0)
            {
                cout << "Pattern find error in Z direction: wrong Z direction" << endl;
                isGoodPattern = 0;
            }
        }
    }

    // Check the pattern
    if(isStraight2 == true)
    {
        // Set pattern to be straight
        isClockwise = 0;
        meanPt = upper_limit_pt;
        // Set the straight pattern with lowest priority among good pattern
        meanSpt = deltaRThreshold;

        // Extrapolate to other recHits and check deltaR
        GlobalVector startSegment = (SegmentRB[1].second)->globalPosition() - (SegmentRB[1].first)->globalPosition();
        GlobalPoint startPosition = (SegmentRB[1].first)->globalPosition();
        GlobalVector startMomentum = startSegment*(meanPt/startSegment.perp());
        unsigned int index = 0;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
        {
            if(index < 4)
            {
                index++;
                continue;
            }
            double tracklength = 0;
            cout << "Now checking recHit " << index << endl;
            double Distance = extropolateStep(startPosition, startMomentum, iter, isClockwise, tracklength, eSetup);
            cout << "Final distance is " << Distance << endl;
            if(Distance > MaxRSD)
            {
                cout << "Pattern find error in distance for other recHits: " << Distance << endl;
                isGoodPattern = 0;
            }
            index++;
        }
    }
    else
    {
        // Get clockwise direction
        GlobalVector vec[2];
        vec[0] = GlobalVector((entryPosition.x()-Center2.x()), (entryPosition.y()-Center2.y()), (entryPosition.z()-Center2.z()));
        vec[1] = GlobalVector((leavePosition.x()-Center2.x()), (leavePosition.y()-Center2.y()), (leavePosition.z()-Center2.z()));
        isClockwise = 0;
        if((vec[1].phi()-vec[0].phi()).value() > 0)
            isClockwise = -1;
        else
            isClockwise = 1;

        cout << "Check isClockwise is : " << isClockwise << endl;

        // Get meanPt
        meanPt = 0.01 * meanRadius2 * meanMagneticField2.z() * 0.3 * isClockwise;
        //meanPt = 0.01 * meanRadius2[0] * (-3.8) * 0.3 * isClockwise;
        cout << " meanRadius is " << meanRadius2 << ", with meanBz " << meanMagneticField2.z() << endl;
        cout << " meanPt is " << meanPt << endl;
        if(fabs(meanPt) > upper_limit_pt)
            meanPt = upper_limit_pt * meanPt / fabs(meanPt);

        // Check the initial 3 segments
        cout << "entryPosition: " << entryPosition << endl;
        cout << "leavePosition: " << leavePosition << endl;
        cout << "Center2 is : " << Center2 << endl;
        double R1 = vec[0].perp();
        double R2 = vec[1].perp();
        double deltaR  = sqrt(((R1-meanRadius2)*(R1-meanRadius2)+(R2-meanRadius2)*(R2-meanRadius2))/2);
        meanSpt = deltaR;
        cout << "R1 is " << R1 << ", R2 is " << R2 << endl;
        cout << "Delta R for the initial 3 segments is " << deltaR << endl;
        if(deltaR > deltaRThreshold)
        {
            cout << "Pattern find error in delta R for the initial 3 segments" << endl;
            isGoodPattern = 0;
        }

        // Extrapolate to other recHits and check deltaR
        GlobalVector startSegment = (SegmentRB[1].second)->globalPosition() - (SegmentRB[1].first)->globalPosition();
        GlobalPoint startPosition = (SegmentRB[1].first)->globalPosition();
        GlobalVector startMomentum = startSegment*(fabs(meanPt)/startSegment.perp());
        unsigned int index = 0;
        for(ConstMuonRecHitContainer::const_iterator iter = theRecHits.begin(); iter != theRecHits.end(); iter++)
        {
            if(index < 4)
            {
                index++;
                continue;
            }
            double tracklength = 0;
            cout << "Now checking recHit " << index << endl;
            double Distance = extropolateStep(startPosition, startMomentum, iter, isClockwise, tracklength, eSetup);
            cout << "Final distance is " << Distance << endl;
            if(Distance > MaxRSD)
            {
                cout << "Pattern find error in distance for other recHits: " << Distance << endl;
                isGoodPattern = 0;
            }
            index++;
        }
    }

    cout << "Checking finish, isGoodPattern now is " << isGoodPattern << endl; 
    // Set the pattern estimation signal
    isPatternChecked = true;
}

double RPCSeedPattern::extropolateStep(const GlobalPoint& startPosition, const GlobalVector& startMomentum, ConstMuonRecHitContainer::const_iterator iter, const int ClockwiseDirection, double& tracklength, const edm::EventSetup& eSetup)
{
    // Get magnetic field
    edm::ESHandle<MagneticField> Field;
    eSetup.get<IdealMagneticFieldRecord>().get(Field);

    cout << "Extrapolating the track to check the pattern" << endl;
    tracklength = 0;
    // Get the iter recHit's detector geometry
    DetId hitDet = (*iter)->hit()->geographicalId();
    RPCDetId RPCId = RPCDetId(hitDet.rawId());
    //const RPCChamber* hitRPC = dynamic_cast<const RPCChamber*>(hitDet);
    edm::ESHandle<RPCGeometry> pRPCGeom;
    eSetup.get<MuonGeometryRecord>().get(pRPCGeom);
    const RPCGeometry* rpcGeometry = (const RPCGeometry*)&*pRPCGeom;

    const BoundPlane RPCSurface = rpcGeometry->chamber(RPCId)->surface();
    double startSide = RPCSurface.localZ(startPosition);
    cout << "Start side : " << startSide;

    GlobalPoint currentPosition = startPosition;
    GlobalVector currentMomentum = startMomentum;
    GlobalVector ZDirection(0, 0, 1);

    // Use the perp other than mag, since initial segment might have small value while final recHit have large difference value at Z direction
    double currentDistance = ((GlobalVector)(currentPosition - (*iter)->globalPosition())).perp();
    cout << "Start current position is : " << currentPosition << endl;
    cout << "Start current Momentum is: " << currentMomentum.mag() << ", in vector: " << currentMomentum << endl;
    cout << "Start current distance is " << currentDistance << endl;
    cout << "Start current radius is " << currentPosition.perp() << endl;
    cout << "Destination radius is " << (*iter)->globalPosition().perp() << endl;

    // Judge roughly if the stepping cross the Det surface of the recHit
    //while((currentPosition.perp() < ((*iter)->globalPosition().perp())))
    double currentDistance_next = currentDistance;
    do
    {
        currentDistance = currentDistance_next;
        if(ClockwiseDirection == 0)
        {
            currentPosition += currentMomentum.unit() * stepLength;
        }
        else
        {
            double Bz = Field->inTesla(currentPosition).z();
            double Radius = currentMomentum.perp()/fabs(Bz*0.01*0.3);
            double deltaPhi = (stepLength*currentMomentum.perp()/currentMomentum.mag())/Radius;

            // Get the center for current step
            GlobalVector currentPositiontoCenter = currentMomentum.unit().cross(ZDirection);
            currentPositiontoCenter *= Radius;
            // correction of ClockwiseDirection correction
            currentPositiontoCenter *= ClockwiseDirection;
            // continue to get the center for current step
            GlobalPoint currentCenter = currentPosition;
            currentCenter += currentPositiontoCenter;

            // Get the next step position
            GlobalVector CentertocurrentPosition = (GlobalVector)(currentPosition - currentCenter);
            double Phi = CentertocurrentPosition.phi().value();
            Phi += deltaPhi * (-1) * ClockwiseDirection;
            double deltaZ = stepLength*currentMomentum.z()/currentMomentum.mag();
            GlobalVector CentertonewPosition(GlobalVector::Cylindrical(CentertocurrentPosition.perp(), Phi, deltaZ));
            double PtPhi = currentMomentum.phi().value();
            PtPhi += deltaPhi * (-1) * ClockwiseDirection;
            currentMomentum = GlobalVector(GlobalVector::Cylindrical(currentMomentum.perp(), PtPhi, currentMomentum.z()));
            currentPosition = currentCenter + CentertonewPosition;
        }

        // count the total step length
        tracklength += stepLength * currentMomentum.perp() / currentMomentum.mag();

        // Get the next step distance
        double currentSide = RPCSurface.localZ(currentPosition);
        cout << "Stepping current side : " << currentSide << endl;
        cout << "Stepping current position is: " << currentPosition << endl;
        cout << "Stepping current Momentum is: " << currentMomentum.mag() << ", in vector: " << currentMomentum << endl;
        currentDistance_next = ((GlobalVector)(currentPosition - (*iter)->globalPosition())).perp();
        cout << "Stepping current distance is " << currentDistance << endl;
        cout << "Stepping current radius is " << currentPosition.perp() << endl;
    }while(currentDistance_next < currentDistance);

    return currentDistance;
}

RPCSeedPattern::weightedTrajectorySeed RPCSeedPattern::createFakeSeed(int& isGoodSeed, const edm::EventSetup& eSetup)
{
    // Create a fake seed and return
    cout << "Now create a fake seed" << endl;
    isPatternChecked = true;
    isGoodPattern = -1;
    isStraight = true;
    meanPt = upper_limit_pt;
    meanSpt = 0;
    Charge = 0;
    isClockwise = 0;
    isParralZ = 0;
    meanRadius = -1;
    //return createSeed(isGoodSeed, eSetup);

    // Get the reference recHit, DON'T use the recHit on 1st layer(inner most layer) 
    const ConstMuonRecHitPointer best = BestRefRecHit();

    Momentum = GlobalVector(0, 0, 0);
    LocalPoint segPos=best->localPosition();
    LocalVector segDirFromPos=best->det()->toLocal(Momentum);
    LocalTrajectoryParameters param(segPos, segDirFromPos, Charge);

    //AlgebraicVector t(4);
    AlgebraicSymMatrix mat(5,0);
    mat = best->parametersError().similarityT(best->projectionMatrix());
    mat[0][0] = meanSpt;
    LocalTrajectoryError error(asSMatrix<5>(mat));

    edm::ESHandle<MagneticField> Field;
    eSetup.get<IdealMagneticFieldRecord>().get(Field);

    TrajectoryStateOnSurface tsos(param, error, best->det()->surface(), &*Field);

    DetId id = best->geographicalId();
    
    PTrajectoryStateOnDet seedTSOS = trajectoryStateTransform::persistentState(tsos, id.rawId());

    edm::OwnVector<TrackingRecHit> container;
    for(ConstMuonRecHitContainer::const_iterator iter=theRecHits.begin(); iter!=theRecHits.end(); iter++)
        container.push_back((*iter)->hit()->clone());

    TrajectorySeed theSeed(seedTSOS, container, alongMomentum);
    weightedTrajectorySeed theweightedSeed;
    theweightedSeed.first = theSeed;
    theweightedSeed.second = meanSpt;
    isGoodSeed = isGoodPattern;

    return theweightedSeed;
}

RPCSeedPattern::weightedTrajectorySeed RPCSeedPattern::createSeed(int& isGoodSeed, const edm::EventSetup& eSetup)
{
    if(isPatternChecked == false || isGoodPattern == -1)
    {
        cout <<"Pattern is not yet checked! Create a fake seed instead!" << endl;
        return createFakeSeed(isGoodSeed, eSetup);
    }

    edm::ESHandle<MagneticField> Field;
    eSetup.get<IdealMagneticFieldRecord>().get(Field);

    MuonPatternRecoDumper debug;

    //double theMinMomentum = 3.0;
    //if(fabs(meanPt) < lower_limit_pt) 
    //meanPt = lower_limit_pt * meanPt / fabs(meanPt);

    // For pattern we use is Clockwise other than isStraight to estimate charge
    if(isClockwise == 0)
        Charge = 0;
    else
        Charge = (int)(meanPt / fabs(meanPt));

    // Get the reference recHit, DON'T use the recHit on 1st layer(inner most layer) 
    const ConstMuonRecHitPointer best = BestRefRecHit();
    const ConstMuonRecHitPointer first = FirstRecHit();

    if(isClockwise != 0)
    {
        if(AlgorithmType != 3)
        {
            // Get the momentum on reference recHit
            GlobalVector vecRef1((first->globalPosition().x()-Center.x()), (first->globalPosition().y()-Center.y()), (first->globalPosition().z()-Center.z()));
            GlobalVector vecRef2((best->globalPosition().x()-Center.x()), (best->globalPosition().y()-Center.y()), (best->globalPosition().z()-Center.z()));

            double deltaPhi = (vecRef2.phi() - vecRef1.phi()).value();
            double deltaS = meanRadius * fabs(deltaPhi);
            double deltaZ = best->globalPosition().z() - first->globalPosition().z();

            GlobalVector vecZ(0, 0, 1);
            GlobalVector vecPt = (vecRef2.unit()).cross(vecZ);
            if(isClockwise == -1)
                vecPt *= -1;
            vecPt *= deltaS;
            Momentum = GlobalVector(0, 0, deltaZ);
            Momentum += vecPt;
            Momentum *= fabs(meanPt / deltaS);
        }
        else
        {
            double deltaZ = best->globalPosition().z() - first->globalPosition().z();
            Momentum = GlobalVector(GlobalVector::Cylindrical(S, lastPhi, deltaZ));
            Momentum *= fabs(meanPt / S);
        }
    }
    else
    {
        Momentum = best->globalPosition() - first->globalPosition();
        double deltaS = Momentum.perp();
        Momentum *= fabs(meanPt / deltaS);
    }
    LocalPoint segPos = best->localPosition();
    LocalVector segDirFromPos = best->det()->toLocal(Momentum);
    LocalTrajectoryParameters param(segPos, segDirFromPos, Charge);

    LocalTrajectoryError error = getSpecialAlgorithmErrorMatrix(first, best);

    TrajectoryStateOnSurface tsos(param, error, best->det()->surface(), &*Field);
    cout << "Trajectory State on Surface before the extrapolation" << endl;
    cout << debug.dumpTSOS(tsos);
    DetId id = best->geographicalId();
    cout << "The RecSegment relies on: " << endl;
    cout << debug.dumpMuonId(id);
    cout << debug.dumpTSOS(tsos);
    
    PTrajectoryStateOnDet const & seedTSOS = trajectoryStateTransform::persistentState(tsos, id.rawId());

    edm::OwnVector<TrackingRecHit> container;
    for(ConstMuonRecHitContainer::const_iterator iter=theRecHits.begin(); iter!=theRecHits.end(); iter++)
    {
        // This casting withou clone will cause memory overflow when used in push_back
        // Since container's deconstructor functiion free the pointer menber!
        //TrackingRecHit* pt = dynamic_cast<TrackingRecHit*>(&*(*iter));
        //cout << "Push recHit type " << pt->getType() << endl;
        container.push_back((*iter)->hit()->clone());
    }

    TrajectorySeed theSeed(seedTSOS, container, alongMomentum);
    weightedTrajectorySeed theweightedSeed;
    theweightedSeed.first = theSeed;
    theweightedSeed.second = meanSpt;
    isGoodSeed = isGoodPattern;

    return theweightedSeed;
}

LocalTrajectoryError RPCSeedPattern::getSpecialAlgorithmErrorMatrix(const ConstMuonRecHitPointer& first, const ConstMuonRecHitPointer& best) {

    LocalTrajectoryError Error;
    double dXdZ = 0;
    double dYdZ = 0;
    double dP = 0;
    AlgebraicSymMatrix mat(5, 0);
    mat = best->parametersError().similarityT(best->projectionMatrix());
    if(AlgorithmType != 3) {
        GlobalVector vecRef1((first->globalPosition().x()-Center.x()), (first->globalPosition().y()-Center.y()), (first->globalPosition().z()-Center.z()));
        GlobalVector vecRef2((best->globalPosition().x()-Center.x()), (best->globalPosition().y()-Center.y()), (best->globalPosition().z()-Center.z()));     
        double deltaPhi = (vecRef2.phi() - vecRef1.phi()).value();
        double L = meanRadius * fabs(deltaPhi);
        double N = nrhit();
        double A_N = 180*N*N*N/((N-1)*(N+1)*(N+2)*(N+3));
        double sigma_x = sqrt(mat[3][3]);
        double betaovergame = Momentum.mag()/0.1066;
        double beta = sqrt((betaovergame*betaovergame)/(1+betaovergame*betaovergame));
        double dPt = meanPt*(0.0136*sqrt(1/100)*sqrt(4*A_N/N)/(beta*0.3*meanBz*L) + sigma_x*meanPt*sqrt(4*A_N)/(0.3*meanBz*L*L));
        double dP = dPt * Momentum.mag() / meanPt;
        mat[0][0] = (dP * dP) / (Momentum.mag() * Momentum.mag() * Momentum.mag() * Momentum.mag());
        mat[1][1] = dXdZ * dXdZ;
        mat[2][2] = dYdZ * dYdZ;
        Error = LocalTrajectoryError(asSMatrix<5>(mat));
    }
    else {
        AlgebraicSymMatrix mat0(5, 0);
        mat0 = (SegmentRB[0].first)->parametersError().similarityT((SegmentRB[0].first)->projectionMatrix());
        double dX0 = sqrt(mat0[3][3]);
        double dY0 = sqrt(mat0[4][4]);
        AlgebraicSymMatrix mat1(5, 0);
        mat1 = (SegmentRB[0].second)->parametersError().similarityT((SegmentRB[0].second)->projectionMatrix());
        double dX1 = sqrt(mat1[3][3]);
        double dY1 = sqrt(mat1[4][4]);
        AlgebraicSymMatrix mat2(5, 0);
        mat2 = (SegmentRB[1].first)->parametersError().similarityT((SegmentRB[1].first)->projectionMatrix());
        double dX2 = sqrt(mat2[3][3]);
        double dY2 = sqrt(mat2[4][4]);
        AlgebraicSymMatrix mat3(5, 0);
        mat3 = (SegmentRB[1].second)->parametersError().similarityT((SegmentRB[1].second)->projectionMatrix());
        double dX3 = sqrt(mat3[3][3]);
        double dY3 = sqrt(mat3[4][4]);
        cout << "Local error for 4 recHits are: " << dX0 << ", " << dY0 << ", " << dX1 << ", " << dY1 << ", " << dX2 << ", " << dY2 << ", " << dX3 << ", " << dY3 << endl; 
        const GeomDetUnit* refRPC1 = (SegmentRB[0].second)->detUnit();
        LocalPoint recHit0 = refRPC1->toLocal((SegmentRB[0].first)->globalPosition());
        LocalPoint recHit1 = refRPC1->toLocal((SegmentRB[0].second)->globalPosition());
        LocalVector localSegment00 = (LocalVector)(recHit1 - recHit0);
        LocalVector localSegment01 = LocalVector(localSegment00.x()+dX0+dX1, localSegment00.y(), localSegment00.z());
        LocalVector localSegment02 = LocalVector(localSegment00.x()-dX0-dX1, localSegment00.y(), localSegment00.z());
        GlobalVector globalSegment00 = refRPC1->toGlobal(localSegment00);
        GlobalVector globalSegment01 = refRPC1->toGlobal(localSegment01);
        GlobalVector globalSegment02 = refRPC1->toGlobal(localSegment02);

        const GeomDetUnit* refRPC2 = (SegmentRB[1].first)->detUnit();
        LocalPoint recHit2 = refRPC2->toLocal((SegmentRB[1].first)->globalPosition());
        LocalPoint recHit3 = refRPC2->toLocal((SegmentRB[1].second)->globalPosition());
        LocalVector localSegment10 = (LocalVector)(recHit3 - recHit2);
        LocalVector localSegment11 = LocalVector(localSegment10.x()+dX2+dX3, localSegment10.y(), localSegment10.z());
        LocalVector localSegment12 = LocalVector(localSegment10.x()-dX2-dX3, localSegment10.y(), localSegment10.z());
        GlobalVector globalSegment10 = refRPC2->toGlobal(localSegment10);
        GlobalVector globalSegment11 = refRPC2->toGlobal(localSegment11);
        GlobalVector globalSegment12 = refRPC2->toGlobal(localSegment12);
        
        if(isClockwise != 0) {
            GlobalVector vec[2];
            vec[0] = GlobalVector((entryPosition.x()-Center2.x()), (entryPosition.y()-Center2.y()), (entryPosition.z()-Center2.z()));
            vec[1] = GlobalVector((leavePosition.x()-Center2.x()), (leavePosition.y()-Center2.y()), (leavePosition.z()-Center2.z()));
            double halfPhiCenter = fabs((vec[1].phi() - vec[0].phi()).value()) / 2;
            // dPhi0 shoule be the same clockwise direction, while dPhi1 should be opposite clockwise direction, w.r.t to the track clockwise
            double dPhi0 = (((globalSegment00.phi() - globalSegment01.phi()).value()*isClockwise) > 0) ? fabs((globalSegment00.phi() - globalSegment01.phi()).value()) : fabs((globalSegment00.phi() - globalSegment02.phi()).value());
            double dPhi1 = (((globalSegment10.phi() - globalSegment11.phi()).value()*isClockwise) < 0) ? fabs((globalSegment10.phi() - globalSegment11.phi()).value()) : fabs((globalSegment10.phi() - globalSegment12.phi()).value());
            // For the deltaR should be kept small, we assume the delta Phi0/Phi1 should be in a same limit value
            double dPhi = (dPhi0 <= dPhi1) ? dPhi0 : dPhi1;
            cout << "DPhi for new Segment is about " << dPhi << endl;
            // Check the variance of halfPhiCenter
            double newhalfPhiCenter = ((halfPhiCenter-dPhi) > 0 ? (halfPhiCenter-dPhi) : 0);
            if(newhalfPhiCenter != 0) {
                double newmeanPt = meanPt * halfPhiCenter / newhalfPhiCenter;
                if(fabs(newmeanPt) > upper_limit_pt)
                    newmeanPt = upper_limit_pt * meanPt / fabs(meanPt);
                cout << "The error is inside range. Max meanPt could be " << newmeanPt << endl;
                dP = fabs(Momentum.mag() * (newmeanPt - meanPt) / meanPt);
            }
            else {
                double newmeanPt = upper_limit_pt * meanPt / fabs(meanPt);
                cout << "The error is outside range. Max meanPt could be " << newmeanPt << endl;
                dP = fabs(Momentum.mag() * (newmeanPt - meanPt) / meanPt);
            }
        }
        else {
            double dPhi0 = (fabs((globalSegment00.phi() - globalSegment01.phi()).value()) <= fabs((globalSegment00.phi() - globalSegment02.phi()).value())) ? fabs((globalSegment00.phi() - globalSegment01.phi()).value()) : fabs((globalSegment00.phi() - globalSegment02.phi()).value());
            double dPhi1 = (fabs((globalSegment10.phi() - globalSegment11.phi()).value()) <= fabs((globalSegment10.phi() - globalSegment12.phi()).value())) ? fabs((globalSegment10.phi() - globalSegment11.phi()).value()) : fabs((globalSegment10.phi() - globalSegment12.phi()).value());
            double dPhi = (dPhi0 <= dPhi1) ? dPhi0 : dPhi1;
            GlobalVector middleSegment = leavePosition - entryPosition;
            double halfDistance = middleSegment.perp() / 2;
            double newmeanPt = halfDistance / dPhi;
            cout << "The error is for straight. Max meanPt could be " << newmeanPt << endl;
            dP = fabs(Momentum.mag() * (newmeanPt - meanPt) / meanPt);
        }

        double dXdZ1 = globalSegment11.x() / globalSegment11.z() - globalSegment10.x() / globalSegment10.z();
        double dXdZ2 = globalSegment12.x() / globalSegment12.z() - globalSegment10.x() / globalSegment10.z();
        dXdZ = (fabs(dXdZ1) >= fabs(dXdZ2)) ? dXdZ1 : dXdZ2;
        
        LocalVector localSegment13 = LocalVector(localSegment10.x(), localSegment10.y()+dY2+dY3, localSegment10.z());
        LocalVector localSegment14 = LocalVector(localSegment10.x(), localSegment10.y()-dY2-dY3, localSegment10.z());
        GlobalVector globalSegment13 = refRPC2->toGlobal(localSegment13);
        GlobalVector globalSegment14 = refRPC2->toGlobal(localSegment14);        
        double dYdZ1 = globalSegment13.y() / globalSegment13.z() - globalSegment10.y() / globalSegment10.z();
        double dYdZ2 = globalSegment14.y() / globalSegment14.z() - globalSegment10.y() / globalSegment10.z();
        dYdZ = (fabs(dYdZ1) >= fabs(dYdZ2)) ? dYdZ1 : dYdZ2;

        mat[0][0] = (dP * dP) / (Momentum.mag() * Momentum.mag() * Momentum.mag() * Momentum.mag());
        mat[1][1] = dXdZ * dXdZ;
        mat[2][2] = dYdZ * dYdZ;
        Error = LocalTrajectoryError(asSMatrix<5>(mat));
    }
    return Error;
}