Esempio n. 1
0
def main(optunf="Bayes"):

    optunfs = ["Bayes", "SVD", "TUnfold", "Invert", "Reverse"]
    if not optunf in optunfs:
        txt = "Unfolding option " + optunf + " not recognised"
        raise ValueError(txt)

    global hReco, hMeas, hTrue

    print "==================================== TRAIN ===================================="
    # Create response matrix object for 40 measured and 20
    # unfolded bins:
    response = RooUnfoldResponse(40, -10.0, 10.0, 20, -10.0, 10.0)

    #  Train with a Breit-Wigner, mean 0.3 and width 2.5.
    for i in xrange(100000):
        # xt= gRandom.BreitWigner( 0.3, 2.5 )
        xt = gRandom.Gaus(0.0, 5.0)
        x = smear(xt)
        if x != None:
            response.Fill(x, xt)
        else:
            response.Miss(xt)

    print "==================================== TEST ====================================="
    hTrue = TH1D("true", "Test Truth", 20, -10.0, 10.0)
    hMeas = TH1D("meas", "Test Measured", 40, -10.0, 10.0)
    #  Test with a Gaussian, mean 0 and width 2.
    for i in xrange(10000):
        # xt= gRandom.Gaus( 0.0, 2.0 )
        xt = gRandom.BreitWigner(0.3, 2.5)
        x = smear(xt)
        hTrue.Fill(xt)
        if x != None:
            hMeas.Fill(x)

    print "==================================== UNFOLD ==================================="
    print "Unfolding method:", optunf
    if "Bayes" in optunf:
        # Bayes unfoldung with 4 iterations
        # unfold= RooUnfoldBayes( response, hMeas, 4 )
        unfold = RooUnfoldBayes(response, hMeas, 10, False, True)
    elif "SVD" in optunf:
        # SVD unfoding with free regularisation
        # unfold= RooUnfoldSvd( response, hMeas, 20 )
        unfold = RooUnfoldSvd(response, hMeas)
    elif "TUnfold" in optunf:
        # TUnfold with fixed regularisation tau=0.002
        # unfold= RooUnfoldTUnfold( response, hMeas )
        unfold = RooUnfoldTUnfold(response, hMeas, 0.002)
    elif "Invert" in optunf:
        unfold = RooUnfoldInvert(response, hMeas)
    elif "Reverse" in optunf:
        unfold = RooUnfoldBayes(response, hMeas, 1)

    hReco = unfold.Hreco()
    # unfold.PrintTable( cout, hTrue )
    unfold.PrintTable(cout, hTrue, 2)

    hReco.Draw()
    hMeas.Draw("SAME")
    hTrue.SetLineColor(8)
    hTrue.Draw("SAME")

    return
Esempio n. 2
0
    xt = gRandom.BreitWigner(0.3, 2.5)
    x = smear(xt)
    if x != None:
        response.Fill(x, xt)
    else:
        response.Miss(xt)

print "==================================== TEST ====================================="
hTrue = TH1D("true", "Test Truth", 40, -10.0, 10.0)
hMeas = TH1D("meas", "Test Measured", 40, -10.0, 10.0)
#  Test with a Gaussian, mean 0 and width 2.
for i in xrange(10000):
    xt = gRandom.Gaus(0.0, 2.0)
    x = smear(xt)
    hTrue.Fill(xt)
    if x != None: hMeas.Fill(x)

print "==================================== UNFOLD ==================================="
unfold = RooUnfoldBayes(response, hMeas, 4)
#  OR
# unfold= RooUnfoldSvd     (response, hMeas, 20);     #  OR
# unfold= RooUnfoldTUnfold (response, hMeas);         #  OR
# unfold= RooUnfoldIds     (response, hMeas, 3);      #  OR

hReco = unfold.Hreco()
unfold.PrintTable(cout, hTrue)
hReco.Draw()
hMeas.Draw("SAME")
hTrue.SetLineColor(8)
hTrue.Draw("SAME")
Esempio n. 3
0
def MyRooUnfold(matrix_name=args.h_matrix, h_reco_getG0_name=args.h_data, h_ptcl_getG0_name = args.h_particle,h_reco_get_bkg_name = args.h_background,outputname=args.h_data+"_unfolded",nrebin = args.nrebin):

    rfile_data = TFile(args.rfile_data, 'read')
    rfile_particle = TFile(args.rfile_particle, 'read')
    rfile_matrix = TFile(args.rfile_matrix, 'read')
    rfile_background = TFile(args.rfile_background, 'read')

    myfbu = fbu.PyFBU()
    myfbu.verbose = True 
    #GET DATA
    h_reco_get = rfile_data.Get(h_reco_getG0_name)
    h_reco_get.Rebin(nrebin)
    #GET PARTICLE
    h_ptcl_get = rfile_particle.Get(h_ptcl_getG0_name)
    h_ptcl_get.Rebin(nrebin)
    #GET MATRIX
    h_response_unf = rfile_matrix.Get(matrix_name)
    h_response_unf.ClearUnderflowAndOverflow()
    h_response_unf.GetXaxis().SetRange(1, h_response_unf.GetXaxis().GetNbins() )
    h_response_unf.GetYaxis().SetRange(1, h_response_unf.GetYaxis().GetNbins() )
    h_response_unf.Rebin2D(nrebin,nrebin)
    h_response_unf.SetName("Migration_Matrix_simulation")

    ########### ACCEPTANCY
    h_acc = h_response_unf.ProjectionX("reco_recoandparticleX") # Reco M
    h_acc.Divide(h_reco_get)
    ########### AKCEPTANCE saved in h_acc #############
    ########### EFFICIENCY
    h_eff = h_response_unf.ProjectionY("reco_recoandparticleY") # Ptcl M
    h_eff.Divide(h_ptcl_get)
    
    h_reco_get_input = rfile_data.Get(h_reco_getG0_name)
    h_reco_get_bkg = rfile_background.Get(h_reco_get_bkg_name)
    h_reco_get_bkg.Rebin(nrebin)

    h_reco_get_input_clone=h_reco_get_input.Clone("")

    h_reco_get_input_clone.Add(h_reco_get_bkg,-1)
    h_reco_get_input_clone.Multiply(h_acc)
    
   
    h_reco_or = rfile_data.Get(h_reco_getG0_name)
    h_ptcl_or = rfile_particle.Get(h_ptcl_getG0_name)
    h_ptcl_or.SetMaximum(h_ptcl_or.GetMaximum()*1.5)
    
    ### ROOUNFOLD METHOD ###
    
    m_RooUnfold = RooUnfoldBayes()
    m_RooUnfold.SetRegParm( 4 )
    m_RooUnfold.SetNToys( 10000 )
    m_RooUnfold.SetVerbose( 0 )
    m_RooUnfold.SetSmoothing( 0 )
  
    response = RooUnfoldResponse(None, None, h_response_unf, "response", "methods")
    
    m_RooUnfold.SetResponse( response )
    m_RooUnfold.SetMeasured( h_reco_get_input_clone )
    
    ### SVD METHOD ###
    
    m_RooUnfold_svd = RooUnfoldSvd (response, h_reco_get_input_clone, int(round(h_reco_get_input_clone.GetNbinsX()/2.0,0))) #8
    svd_par = int(round(h_reco_get_input_clone.GetNbinsX()/2.0,0))
    m_RooUnfold_T = RooUnfoldTUnfold (response, h_reco_get_input_clone)         #  OR
    m_RooUnfold_Ids= RooUnfoldIds (response, h_reco_get_input_clone,int(round(h_reco_get_input_clone.GetNbinsX()/12.0,0))) ## TO DO, SET PARAMETERS TO THE BINNING
    Ids_par = int(round(h_reco_get_input_clone.GetNbinsX()/12.0,0))
    
    ### FBU METHOD ###
    
    h_response_unf_fbu = TransposeMatrix(h_response_unf)
    h_response_unf_fbu_norm = NormalizeResponse(h_response_unf_fbu)
    h_response_unf_fbu_norm.SetName("Migration_Matrix_simulation_transpose")
    histograms.append(h_response_unf_fbu_norm)
    myfbu.response = MakeListResponse(h_response_unf_fbu_norm)
    myfbu.data = MakeListFromHisto(h_reco_get_input_clone) 
    myfbu.lower = []
    myfbu.upper = []
    
    h_det_div_ptcl=h_reco_get_input_clone.Clone("")
    h_det_div_ptcl.Divide(h_ptcl_or)
    h_det_div_ptcl.Divide(h_eff)
    h_det_div_ptcl.SetName("det_div_ptcl")
    histograms.append(h_det_div_ptcl)

    for l in range(len(myfbu.data)):
        if ( args.SplitFromBinLow != 0) and ( l+1 <= args.SplitFromBinLow ):
            myfbu.lower.append(h_reco_get_input_clone.GetBinContent(l+1)*(2-args.ParameterSplitFromBinLow)*h_det_div_ptcl.GetBinContent(l+1))
            myfbu.upper.append(h_reco_get_input_clone.GetBinContent(l+1)*args.ParameterSplitFromBinLow*h_det_div_ptcl.GetBinContent(l+1))
        elif ( args.SplitFromBinHigh != 0 ) and ( l+1 >= args.SplitFromBinHigh ):
            myfbu.lower.append(h_reco_get_input_clone.GetBinContent(l+1)*(2-args.ParameterSplitFromBinHigh)*h_det_div_ptcl.GetBinContent(l+1))
            myfbu.upper.append(h_reco_get_input_clone.GetBinContent(l+1)*args.ParameterSplitFromBinHigh*h_det_div_ptcl.GetBinContent(l+1))
        else:
            myfbu.lower.append(h_reco_get_input_clone.GetBinContent(l+1)*(2-args.par)*h_det_div_ptcl.GetBinContent(l+1))
            myfbu.upper.append(h_reco_get_input_clone.GetBinContent(l+1)*args.par*h_det_div_ptcl.GetBinContent(l+1))
    #myfbu.regularization = Regularization('Tikhonov',parameters=[{'refcurv':0.1,'alpha':0.2}]) works for old FBU package and python2.7 and old pymc
    myfbu.run()
    trace = myfbu.trace
    traceName = 'Posterior_1_iteration'
    posteriors_diag = MakeTH1Ds(trace, traceName)
    h_reco_unfolded, h_reco_unfolded_Mean = MakeUnfoldedHisto(h_reco_or, posteriors_diag)
    PlotPosteriors(posteriors_diag,outputname+'_iteration_1')
    # EFFICIENCY AND ACCEPTANCY CORRECTIONS
    h_reco_unfolded.Divide(h_eff)
    h_reco_unfolded_Mean.Divide(h_eff)

    h_reco_unfolded_roof = m_RooUnfold.Hreco()
    h_reco_unfolded_roof.Divide(h_eff)

    h_reco_unfolded_svd = m_RooUnfold_svd.Hreco()
    h_reco_unfolded_svd.Divide(h_eff)

    h_reco_unfolded_T = m_RooUnfold_T.Hreco()
    h_reco_unfolded_T.Divide(h_eff)

    h_reco_unfolded_Ids = m_RooUnfold_Ids.Hreco()
    h_reco_unfolded_Ids.Divide(h_eff)

    PlotRatio(h_reco_unfolded_Mean, h_ptcl_or, h_reco_unfolded_roof, h_reco_unfolded_svd, h_reco_unfolded_T,h_reco_unfolded_Ids, svd_par, Ids_par, outputname+'_iteration_1')        

    Repeat = True
    j = 2
    while Repeat:
        print("Runnig iteration number: ",j)
        myfbu.lower = []
        myfbu.upper = []
        for l in range(len(myfbu.data)):
            posteriors_diag[l].Fit("gaus")
            fit = posteriors_diag[l].GetFunction("gaus") 
            p1 = fit.GetParameter(1)
            p2 = fit.GetParameter(2)
            myfbu.lower.append(p1-4*p2)
            myfbu.upper.append(p1+4*p2)
        myfbu.run()
        trace = myfbu.trace
        traceName = 'Posterior_'+str(j)+'_iteration'
        posteriors_diag = MakeTH1Ds(trace, traceName)
        h_reco_unfolded, h_reco_unfolded_Mean = MakeUnfoldedHisto(h_reco_or, posteriors_diag)
        Repeat = PlotPosteriors(posteriors_diag,outputname+'_iteration_'+str(j))
        # EFFICIENCY AND ACCEPTANCY CORRECTIONS
        h_reco_unfolded.Divide(h_eff)
        h_reco_unfolded_Mean.Divide(h_eff)
        h_reco_unfolded_roof = m_RooUnfold.Hreco()
        h_reco_unfolded_roof.Divide(h_eff)
        h_reco_unfolded_svd = m_RooUnfold_svd.Hreco()
        h_reco_unfolded_svd.Divide(h_eff)
        h_reco_unfolded_T = m_RooUnfold_T.Hreco()
        h_reco_unfolded_T.Divide(h_eff)
        h_reco_unfolded_Ids = m_RooUnfold_Ids.Hreco()
        h_reco_unfolded_Ids.Divide(h_eff)
        PlotRatio(h_reco_unfolded_Mean, h_ptcl_or, h_reco_unfolded_roof, h_reco_unfolded_svd, h_reco_unfolded_T,h_reco_unfolded_Ids, svd_par, Ids_par, outputname+'_iteration_'+str(j))
        if j == args.maxiterations:
            break
        j = j+1

    h_reco_unfolded.SetName("result_fbu_fit")
    histograms.append(h_reco_unfolded)
    
    h_reco_unfolded_Mean.SetName("result_fbu_Mean")
    histograms.append(h_reco_unfolded_Mean)
    
    h_reco_unfolded_roof.SetName("result_roof")
    histograms.append(h_reco_unfolded_roof)
    
    h_reco_unfolded_svd.SetName("result_svd")
    histograms.append(h_reco_unfolded_svd)
    
    h_reco_unfolded_T.SetName("result_T")
    histograms.append(h_reco_unfolded_T)
    
    h_reco_unfolded_Ids.SetName("result_Ids")
    histograms.append(h_reco_unfolded_Ids)

    h_eff.SetName("efficiency")
    histograms.append(h_eff)
    h_acc.SetName("acceptancy")
    histograms.append(h_acc)
    
    h_reco_or.SetName("reco")
    histograms.append(h_reco_or)
    h_ptcl_or.SetName("ptcl_simulation")
    histograms.append(h_ptcl_or)

    h_ratio = h_reco_unfolded.Clone("")
    h_ratio.Divide(h_ptcl_or)
    h_ratio.SetName("ratio_fbu_fit")
    histograms.append(h_ratio)
    
    h_ratio = h_reco_unfolded_Mean.Clone("")
    h_ratio.Divide(h_ptcl_or)
    h_ratio.SetName("ratio_fbu_Mean")
    histograms.append(h_ratio)

    h_ratio = h_reco_unfolded_roof.Clone("")
    h_ratio.Divide(h_ptcl_or)
    h_ratio.SetName("ratio_roof")
    histograms.append(h_ratio)
    
    h_ratio = h_reco_unfolded_svd.Clone("")
    h_ratio.Divide(h_ptcl_or)
    h_ratio.SetName("ratio_svd")
    histograms.append(h_ratio)

    m_RooUnfold_svd.PrintTable (cout, h_ptcl_or)
    m_RooUnfold.PrintTable (cout, h_ptcl_or)
  
    # CORRECTIONS TO GET CROSS SECTION

    #DivideBinWidth(h_reco_unfolded_Mean)
    #DivideBinWidth(h_reco_unfolded_roof)
    #DivideBinWidth(h_reco_unfolded_svd)
    #DivideBinWidth(h_reco_unfolded_T)
    #DivideBinWidth(h_reco_unfolded_Ids)
    #DivideBinWidth(h_ptcl_or)
    #Lumi = 36.1e3
    #for j in range(1,h_reco_unfolded_Mean.GetXaxis().GetNbins()+1):
    #    h_reco_unfolded_Mean.SetBinContent(j,h_reco_unfolded_Mean.GetBinContent(j)/(Lumi))
    #    h_reco_unfolded_Mean.SetBinError(j,h_reco_unfolded_Mean.GetBinError(j)/(Lumi))
    #    h_reco_unfolded_roof.SetBinContent(j,h_reco_unfolded_roof.GetBinContent(j)/(Lumi))
    #    h_reco_unfolded_roof.SetBinError(j,h_reco_unfolded_roof.GetBinError(j)/(Lumi))
    #    h_reco_unfolded_svd.SetBinContent(j,h_reco_unfolded_svd.GetBinContent(j)/(Lumi))
    #    h_reco_unfolded_svd.SetBinError(j,h_reco_unfolded_svd.GetBinError(j)/(Lumi))
    #    h_reco_unfolded_T.SetBinContent(j,h_reco_unfolded_T.GetBinContent(j)/(Lumi))
    #    h_reco_unfolded_T.SetBinError(j,h_reco_unfolded_T.GetBinError(j)/(Lumi))
    #    h_reco_unfolded_Ids.SetBinContent(j,h_reco_unfolded_Ids.GetBinContent(j)/(Lumi))
    #    h_reco_unfolded_Ids.SetBinError(j,h_reco_unfolded_Ids.GetBinError(j)/(Lumi))
    #    h_ptcl_or.SetBinContent(j,h_ptcl_or.GetBinContent(j)/(Lumi))
    #    h_ptcl_or.SetBinError(j,h_ptcl_or.GetBinError(j)/(Lumi))
    #h_reco_unfolded_Mean_clone=h_reco_unfolded_Mean.Clone("FBU_cross_section")
    #h_reco_unfolded_roof_clone=h_reco_unfolded_roof.Clone("DAgostini_cross_section")
    #h_reco_unfolded_svd_clone=h_reco_unfolded_svd.Clone("SVD_cross_section")
    #h_reco_unfolded_T_clone=h_reco_unfolded_T.Clone("TUnfold_cross_section")
    #h_reco_unfolded_Ids_clone=h_reco_unfolded_Ids.Clone("Ids_cross_section")
    #h_ptcl_or_clone=h_ptcl_or.Clone("Truth_cross_section")
    #
    #print("CONTROL*******************************************************************: ",h_reco_unfolded_Mean_clone.GetXaxis().GetNbins(),h_reco_unfolded_roof_clone.GetXaxis().GetNbins(),h_reco_unfolded_svd_clone.GetXaxis().GetNbins(),h_reco_unfolded_T_clone.GetXaxis().GetNbins(),h_reco_unfolded_Ids_clone.GetXaxis().GetNbins(),h_ptcl_or_clone.GetXaxis().GetNbins())
    #histograms.append(h_reco_unfolded_Mean_clone)
    #histograms.append(h_reco_unfolded_roof_clone)
    #histograms.append(h_reco_unfolded_svd_clone)
    #histograms.append(h_reco_unfolded_T_clone)
    #histograms.append(h_reco_unfolded_Ids_clone)
    #histograms.append(h_ptcl_or_clone)
    SaveHistograms(outputname)