| | 722 | |
| | 723 | == Optimize Disp (on Crab Data) == |
| | 724 | |
| | 725 | This is the same analysis using the Excess-Error on Crab Data. |
| | 726 | |
| | 727 | {{{#!Spoiler |
| | 728 | {{{#!cpp |
| | 729 | #include <iostream> |
| | 730 | #include <iomanip> |
| | 731 | |
| | 732 | #include <TMath.h> |
| | 733 | #include <TH2.h> |
| | 734 | #include <TChain.h> |
| | 735 | #include <TCanvas.h> |
| | 736 | #include <TGraph.h> |
| | 737 | #include <TStopwatch.h> |
| | 738 | |
| | 739 | Double_t LiMa(Double_t s, Double_t b, Double_t alpha=0.2) |
| | 740 | { |
| | 741 | const Double_t sum = s+b; |
| | 742 | |
| | 743 | if (s<0 || b<0 || alpha<=0) |
| | 744 | return -1; |
| | 745 | |
| | 746 | const Double_t l = s==0 ? 0 : s*TMath::Log(s/sum*(alpha+1)/alpha); |
| | 747 | const Double_t m = b==0 ? 0 : b*TMath::Log(b/sum*(alpha+1) ); |
| | 748 | |
| | 749 | return l+m<0 ? 0 : TMath::Sqrt((l+m)*2); |
| | 750 | } |
| | 751 | |
| | 752 | Double_t Error(Double_t s, Double_t b, Double_t alpha=0.2) |
| | 753 | { |
| | 754 | const Double_t sN = s + alpha*alpha*b; |
| | 755 | |
| | 756 | const Double_t error = sN<0 ? 0 : TMath::Sqrt(sN); |
| | 757 | if (error==0) |
| | 758 | return 0; |
| | 759 | |
| | 760 | const Double_t Ns = s - alpha*b; |
| | 761 | |
| | 762 | return Ns<0 ? 0 : Ns/error; |
| | 763 | } |
| | 764 | |
| | 765 | |
| | 766 | double ganymed2(double xi0, double slope0) |
| | 767 | { |
| | 768 | // Create chain for the tree Result |
| | 769 | // This is just easier than using TFile/TTree |
| | 770 | TChain c("Result"); |
| | 771 | |
| | 772 | // Add the input file to the |
| | 773 | c.AddFile("crab-data-only.root"); |
| | 774 | |
| | 775 | // Define variables for all leaves to be accessed |
| | 776 | // By definition rootifysql writes only doubles |
| | 777 | double FileId, EvtNumber, X, Y, MeanX, MeanY, Width, Length, CosDelta, SinDelta, |
| | 778 | M3Long, SlopeLong, Leakage1, SlopeSpreadWeighted, Size, |
| | 779 | ConcCore, ConcCOG, NumIslands, NumUsedPixels; |
| | 780 | |
| | 781 | // Connect the variables to the cordesponding leaves |
| | 782 | c.SetBranchAddress("FileId", &FileId); |
| | 783 | c.SetBranchAddress("EvtNumber", &EvtNumber); |
| | 784 | c.SetBranchAddress("X", &X); |
| | 785 | c.SetBranchAddress("Y", &Y); |
| | 786 | c.SetBranchAddress("MeanX", &MeanX); |
| | 787 | c.SetBranchAddress("MeanY", &MeanY); |
| | 788 | c.SetBranchAddress("Width", &Width); |
| | 789 | c.SetBranchAddress("Length", &Length); |
| | 790 | c.SetBranchAddress("CosDelta", &CosDelta); |
| | 791 | c.SetBranchAddress("SinDelta", &SinDelta); |
| | 792 | c.SetBranchAddress("M3Long", &M3Long); |
| | 793 | c.SetBranchAddress("SlopeLong", &SlopeLong); |
| | 794 | c.SetBranchAddress("Leakage1", &Leakage1); |
| | 795 | c.SetBranchAddress("NumIslands", &NumIslands); |
| | 796 | c.SetBranchAddress("NumUsedPixels", &NumUsedPixels); |
| | 797 | //c.SetBranchAddress("SlopeSpreadWeighted", &SlopeSpreadWeighted); |
| | 798 | c.SetBranchAddress("Size", &Size); |
| | 799 | //c.SetBranchAddress("ConcCOG", &ConcCOG); |
| | 800 | //c.SetBranchAddress("ConcCore", &ConcCore); |
| | 801 | |
| | 802 | // Set some constants (they could be included in the database |
| | 803 | // in the future) |
| | 804 | double mm2deg = +0.0117193246260285378; |
| | 805 | //double abberation = 1.02; |
| | 806 | |
| | 807 | // -------------------- Source dependent parameter calculation ------------------- |
| | 808 | |
| | 809 | // Create a histogram for on- and off-data |
| | 810 | TH1F hon("on", "", 55, 0, 1); |
| | 811 | TH1F hoff("off", "", 55, 0, 1); |
| | 812 | |
| | 813 | long cnt_on = 0; |
| | 814 | long cnt_off = 0; |
| | 815 | |
| | 816 | for (int i=0; i<c.GetEntries(); i++) |
| | 817 | { |
| | 818 | // read the i-th event from the file |
| | 819 | c.GetEntry(i); |
| | 820 | |
| | 821 | // First calculate all cuts to speedup the analysis |
| | 822 | double area = TMath::Pi()*Width*Length; |
| | 823 | |
| | 824 | bool cutq = NumIslands<3.5 && NumUsedPixels>5.5 && Leakage1==0; |
| | 825 | if (!cutq) |
| | 826 | continue; |
| | 827 | |
| | 828 | bool cut0 = area < log10(Size)*898-1535; |
| | 829 | if (!cut0) |
| | 830 | continue; |
| | 831 | |
| | 832 | for (int angle=0; angle<360; angle+=60) |
| | 833 | { |
| | 834 | // -------------------- Source dependent parameter calculation ------------------- |
| | 835 | |
| | 836 | double cr = cos(angle*TMath::DegToRad()); |
| | 837 | double sr = sin(angle*TMath::DegToRad()); |
| | 838 | |
| | 839 | double px = cr*X-sr*Y; |
| | 840 | double py = cr*Y+sr*X; |
| | 841 | |
| | 842 | // blau rot |
| | 843 | double dx = MeanX - px*1.02; |
| | 844 | double dy = MeanY - py*1.02; |
| | 845 | |
| | 846 | double norm = sqrt(dx*dx + dy*dy); |
| | 847 | double dist = norm*mm2deg; |
| | 848 | |
| | 849 | double lx = min(max((CosDelta*dy - SinDelta*dx)/norm, -1.), 1.); |
| | 850 | double ly = min(max((CosDelta*dx + SinDelta*dy)/norm, -1.), 1.); |
| | 851 | |
| | 852 | double alpha = asin(lx); |
| | 853 | double sgn = TMath::Sign(1., ly); |
| | 854 | |
| | 855 | // ------------------------------- Application ---------------------------------- |
| | 856 | |
| | 857 | double m3l = M3Long*sgn*mm2deg; |
| | 858 | double slope = SlopeLong*sgn/mm2deg; |
| | 859 | |
| | 860 | // --------------------------------- Analysis ----------------------------------- |
| | 861 | |
| | 862 | double xi = xi0 + slope0 *slope;// + 1.67972 *(1-1/(1+4.86232*Leakage1)); |
| | 863 | |
| | 864 | double sign1 = m3l+0.07; |
| | 865 | double sign2 = (dist-0.5)*7.2-slope; |
| | 866 | |
| | 867 | double disp = (sign1<0 || sign2<0 ? -xi : xi)*(1-Width/Length); |
| | 868 | |
| | 869 | //double thetasq = (disp*disp + dist*dist - 2*disp*dist*cos(alpha))*mm2deg*mm2deg; |
| | 870 | double thetasq = disp*disp + dist*dist - 2*disp*dist*sqrt(1-lx*lx); |
| | 871 | |
| | 872 | // Fill the on- and off-histograms |
| | 873 | if (thetasq<0.024) |
| | 874 | angle==0 ? cnt_on++ : cnt_off++; |
| | 875 | } |
| | 876 | } |
| | 877 | |
| | 878 | cout << cnt_on << "\t" << cnt_off << "\t" << cnt_on-cnt_off*0.2 << endl; |
| | 879 | return Error(cnt_on, cnt_off); |
| | 880 | } |
| | 881 | |
| | 882 | |
| | 883 | void ganymed_optimdisp() |
| | 884 | { |
| | 885 | TH2F hist("", "", |
| | 886 | 21, 1.200-0.0050, 1.410-0.0050, |
| | 887 | 13, 0.010-0.0025, 0.140-0.0025); |
| | 888 | |
| | 889 | for (float xi0=1.20; xi0<1.41; xi0+=0.01) |
| | 890 | for (float slope0=0.01; slope0<0.14; slope0+=0.01) |
| | 891 | { |
| | 892 | cout << xi0 << "\t" << slope0 << "\t"; |
| | 893 | hist.Fill(xi0, slope0, ganymed2(xi0, slope0)); |
| | 894 | } |
| | 895 | |
| | 896 | TCanvas *canv = new TCanvas; |
| | 897 | canv->SetTopMargin(0.01); |
| | 898 | |
| | 899 | hist.SetStats(kFALSE); |
| | 900 | hist.SetContour(100); |
| | 901 | hist.SetXTitle("Xi_{0} / deg"); |
| | 902 | hist.SetYTitle("Slope_{0} #dot ns/deg^{2} "); |
| | 903 | hist.GetYaxis()->SetTitleOffset(1.2); |
| | 904 | hist.DrawCopy("colz cont2"); |
| | 905 | } |
| | 906 | }}} |
| | 907 | }}} |
| | 908 | |
| | 909 | Which gives the following result |
| | 910 | |
| | 911 | [[Image(Result3.png)]] |
| | 912 | |
| | 913 | |