| 1 | #include <fstream.h>
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| 2 | #include <iostream.h>
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| 3 | #include <iomanip.h>
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| 4 |
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| 5 | #include <TF1.h>
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| 6 | #include <TH1.h>
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| 7 | #include <TH2.h>
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| 8 | #include <TGraph.h>
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| 9 |
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| 10 | #include <TList.h>
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| 11 | #include <TMinuit.h>
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| 12 |
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| 13 | #include <TView.h>
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| 14 | #include <TLine.h>
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| 15 | #include <TMarker.h>
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| 16 | #include <TCanvas.h>
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| 17 |
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| 18 | #include "coord.h"
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| 19 | #include "MBending.h"
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| 20 |
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| 21 | //
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| 22 | // Sekans = 1/cos
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| 23 | //
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| 24 |
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| 25 | class Set : public TObject
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| 26 | {
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| 27 | friend ifstream &operator>>(ifstream &fin, Set &set);
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| 28 | private:
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| 29 | Double_t fStarAz;
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| 30 | Double_t fStarEl;
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| 31 |
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| 32 | Double_t fRawAz;
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| 33 | Double_t fRawEl;
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| 34 |
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| 35 | public:
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| 36 | Set(Double_t sel=0, Double_t saz=0, Double_t rel=0, Double_t raz=0) :
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| 37 | fStarAz(saz*TMath::Pi()/180),
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| 38 | fStarEl(sel*TMath::Pi()/180),
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| 39 | fRawAz(raz*TMath::Pi()/180),
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| 40 | fRawEl(rel*TMath::Pi()/180)
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| 41 | {
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| 42 | }
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| 43 |
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| 44 | Double_t GetResidual() const
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| 45 | {
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| 46 | Double_t del = fRawEl-fStarEl;
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| 47 | Double_t daz = fRawAz-fStarAz;
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| 48 | Double_t dphi2 = daz/2.;
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| 49 | Double_t cos2 = cos(dphi2)*cos(dphi2);
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| 50 | Double_t sin2 = sin(dphi2)*sin(dphi2);
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| 51 | Double_t d = cos(del)*cos2 - cos(fRawEl+fStarEl)*sin2;
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| 52 |
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| 53 | Double_t dist = acos(d);
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| 54 |
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| 55 | return dist * 180 / TMath::Pi();
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| 56 | }
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| 57 |
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| 58 | void operator=(Set &set)
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| 59 | {
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| 60 | fStarAz = set.fStarAz;
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| 61 | fStarEl = set.fStarEl;
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| 62 | fRawAz = set.fRawAz;
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| 63 | fRawEl = set.fRawEl;
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| 64 | }
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| 65 |
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| 66 | Double_t GetDEl() const { return (fRawEl-fStarEl)*180/TMath::Pi(); }
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| 67 | Double_t GetDZd() const { return -GetDEl(); }
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| 68 | Double_t GetDAz() const { return (fRawAz-fStarAz)*180/TMath::Pi(); }
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| 69 | Double_t GetStarEl() const { return fStarEl*180/TMath::Pi(); }
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| 70 | Double_t GetStarZd() const { return 90.-fStarEl*180/TMath::Pi(); }
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| 71 | Double_t GetStarAz() const { return fStarAz*180/TMath::Pi(); }
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| 72 | Double_t GetRawEl() const { return fRawEl*180/TMath::Pi(); }
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| 73 | Double_t GetRawAz() const { return fRawAz*180/TMath::Pi(); }
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| 74 | Double_t GetRawZd() const { return 90.-fRawEl*180/TMath::Pi(); }
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| 75 |
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| 76 | ZdAz GetStarZdAz() const { return ZdAz(TMath::Pi()/2-fStarEl, fStarAz); }
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| 77 | AltAz GetStarAltAz() const { return AltAz(fStarEl, fStarAz); }
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| 78 |
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| 79 | ZdAz GetRawZdAz() const { return ZdAz(TMath::Pi()/2-fRawEl, fRawAz); }
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| 80 | AltAz GetRawAltAz() const { return AltAz(fRawEl, fRawAz); }
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| 81 |
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| 82 | void AdjustEl(Double_t del) { fStarEl += del*TMath::Pi()/180; }
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| 83 | void AdjustAz(Double_t daz) { fStarAz += daz*TMath::Pi()/180; }
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| 84 |
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| 85 | void Adjust(const MBending &bend)
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| 86 | {
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| 87 | AltAz p = bend(GetStarAltAz());
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| 88 | fStarEl = p.Alt();
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| 89 | fStarAz = p.Az();
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| 90 | }
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| 91 | void AdjustBack(const MBending &bend)
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| 92 | {
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| 93 | AltAz p = bend.CorrectBack(GetRawAltAz());
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| 94 | fRawEl = p.Alt();
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| 95 | fRawAz = p.Az();
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| 96 | }
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| 97 | };
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| 98 |
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| 99 | ifstream &operator>>(ifstream &fin, Set &set)
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| 100 | {
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| 101 | Double_t v[4];
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| 102 | fin >> v[0];
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| 103 | fin >> v[1];
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| 104 | fin >> v[2];
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| 105 | fin >> v[3];
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| 106 |
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| 107 | Double_t dummy;
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| 108 | fin>>dummy;
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| 109 | fin>>dummy;
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| 110 | fin>>dummy;
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| 111 |
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| 112 | set.fStarAz = v[0]*TMath::Pi()/180;
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| 113 | set.fStarEl = v[1]*TMath::Pi()/180;
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| 114 |
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| 115 | set.fRawAz = v[2]*TMath::Pi()/180;
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| 116 | set.fRawEl = v[3]*TMath::Pi()/180;
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| 117 |
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| 118 | return fin;
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| 119 | }
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| 120 |
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| 121 | TList gCoordinates;
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| 122 |
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| 123 | void fcn(Int_t &npar, Double_t *gin, Double_t &f, Double_t *par, Int_t iflag)
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| 124 | {
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| 125 | f = 0;
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| 126 |
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| 127 | MBending bend;
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| 128 | bend.SetParameters(par); // Set Parameters [deg] to MBending
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| 129 |
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| 130 | for (int i=0; i<gCoordinates.GetSize(); i++)
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| 131 | {
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| 132 | Set set = *(Set*)gCoordinates.At(i);
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| 133 |
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| 134 | set.Adjust(bend);
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| 135 |
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| 136 | Double_t err = 1;
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| 137 | Double_t res = set.GetResidual()/err;
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| 138 |
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| 139 | f += res*res;
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| 140 | }
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| 141 |
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| 142 | f /= gCoordinates.GetSize()*gCoordinates.GetSize();
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| 143 | }
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| 144 |
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| 145 | void DrawMarker(TVirtualPad *pad, Double_t r0, Double_t phi0, Double_t r1, Double_t phi1)
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| 146 | {
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| 147 | TView *view = pad->GetView();
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| 148 |
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| 149 | if (!view)
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| 150 | {
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| 151 | cout << "No View!" << endl;
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| 152 | return;
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| 153 | }
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| 154 |
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| 155 | TMarker mark0;
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| 156 | TMarker mark1;
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| 157 | mark0.SetMarkerStyle(kStar);
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| 158 | mark1.SetMarkerStyle(kStar);
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| 159 | mark1.SetMarkerColor(kRed);
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| 160 |
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| 161 | r0 /= 90;
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| 162 | r1 /= 90;
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| 163 | phi0 *= TMath::Pi()/180;
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| 164 | phi1 *= TMath::Pi()/180;
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| 165 |
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| 166 | Double_t x0[3] = { r0*cos(phi0), r0*sin(phi0), 0};
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| 167 | Double_t x1[3] = { r1*cos(phi1), r1*sin(phi1), 0};
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| 168 |
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| 169 | Double_t y0[3], y1[3];
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| 170 |
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| 171 | view->WCtoNDC(x0, y0);
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| 172 | view->WCtoNDC(x1, y1);
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| 173 |
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| 174 | mark0.DrawMarker(y0[0], y0[1]);
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| 175 | mark1.DrawMarker(y1[0], y1[1]);
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| 176 | }
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| 177 |
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| 178 | void DrawPolLine(TVirtualPad *pad, Double_t r0, Double_t phi0, Double_t r1, Double_t phi1)
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| 179 | {
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| 180 | TView *view = pad->GetView();
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| 181 |
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| 182 | if (!view)
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| 183 | {
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| 184 | cout << "No View!" << endl;
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| 185 | return;
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| 186 | }
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| 187 | /*
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| 188 | if (r0<0)
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| 189 | {
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| 190 | r0 = -r0;
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| 191 | phi0 += 180;
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| 192 | }
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| 193 | if (r1<0)
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| 194 | {
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| 195 | r1 = -r1;
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| 196 | phi1 += 180;
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| 197 | }
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| 198 |
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| 199 | phi0 = fmod(phi0+360, 360);
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| 200 | phi1 = fmod(phi1+360, 360);
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| 201 |
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| 202 | if (phi1-phi0<-180)
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| 203 | phi1+=360;
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| 204 | */
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| 205 | TLine line;
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| 206 | line.SetLineWidth(2);
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| 207 | line.SetLineColor(kBlue);
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| 208 |
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| 209 | Double_t p0 = phi0<phi1?phi0:phi1;
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| 210 | Double_t p1 = phi0<phi1?phi1:phi0;
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| 211 |
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| 212 | if (phi0>phi1)
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| 213 | {
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| 214 | Double_t d = r1;
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| 215 | r1 = r0;
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| 216 | r0 = d;
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| 217 | }
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| 218 |
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| 219 | r0 /= 90;
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| 220 | r1 /= 90;
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| 221 |
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| 222 | Double_t dr = r1-r0;
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| 223 | Double_t dp = p1-p0;
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| 224 |
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| 225 | Double_t x0[3] = { r0*cos(p0*TMath::Pi()/180), r0*sin(p0*TMath::Pi()/180), 0};
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| 226 |
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| 227 | for (double i=p0+10; i<p1+10; i+=10)
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| 228 | {
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| 229 | if (i>p1)
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| 230 | i=p1;
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| 231 |
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| 232 | Double_t r = dr/dp*(i-p0)+r0;
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| 233 | Double_t p = TMath::Pi()/180*i;
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| 234 |
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| 235 | Double_t x1[3] = { r*cos(p), r*sin(p), 0};
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| 236 |
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| 237 | Double_t y0[3], y1[3];
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| 238 |
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| 239 | view->WCtoNDC(x0, y0);
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| 240 | view->WCtoNDC(x1, y1);
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| 241 |
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| 242 | line.DrawLine(y0[0], y0[1], y1[0], y1[1]);
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| 243 |
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| 244 | x0[0] = x1[0];
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| 245 | x0[1] = x1[1];
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| 246 | }
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| 247 | }
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| 248 |
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| 249 | void DrawSet(TVirtualPad *pad, Set &set, Float_t scale=-1)
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| 250 | {
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| 251 | Double_t r0 = set.GetRawZd();
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| 252 | Double_t phi0 = set.GetRawAz();
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| 253 | Double_t r1 = set.GetStarZd();
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| 254 | Double_t phi1 = set.GetStarAz();
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| 255 |
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| 256 | if (r0<0)
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| 257 | {
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| 258 | r0 = -r0;
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| 259 | phi0 += 180;
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| 260 | }
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| 261 | if (r1<0)
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| 262 | {
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| 263 | r1 = -r1;
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| 264 | phi1 += 180;
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| 265 | }
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| 266 |
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| 267 | phi0 = fmod(phi0+360, 360);
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| 268 | phi1 = fmod(phi1+360, 360);
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| 269 |
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| 270 | if (phi1-phi0<-180)
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| 271 | phi1+=360;
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| 272 |
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| 273 | if (scale<0 || scale>1000)
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| 274 | scale = -1;
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| 275 |
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| 276 | if (scale>0)
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| 277 | {
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| 278 | Double_t d = r1-r0;
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| 279 | r0 += scale*d;
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| 280 | r1 -= scale*d;
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| 281 | d = phi1-phi0;
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| 282 | phi0 += scale*d;
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| 283 | phi1 -= scale*d;
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| 284 |
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| 285 | DrawPolLine(pad, r0, phi0, r1, phi1);
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| 286 | DrawMarker(pad, r0, phi0, r1, phi1);
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| 287 | }
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| 288 | else
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| 289 | DrawMarker(pad, r1, phi1, 0 ,0);
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| 290 | }
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| 291 |
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| 292 | void tpointfit()
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| 293 | {
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| 294 | cout << "Starting..." << endl;
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| 295 |
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| 296 | gCoordinates.SetOwner();
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| 297 |
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| 298 | TH1F hres1("Res1", " Residuals before correction ", 10, 0, 4);
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| 299 | TH1F hres2("Res2", " Residuals after correction ", 40, 0, 4);
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| 300 |
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| 301 | hres1.SetXTitle("\\Delta [\\circ]");
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| 302 | hres1.SetYTitle("Counts");
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| 303 |
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| 304 | hres2.SetXTitle("\\Delta [\\circ]");
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| 305 | hres2.SetYTitle("Counts");
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| 306 |
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| 307 | TGraph gdaz;
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| 308 | TGraph gdzd;
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| 309 | TGraph gaz;
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| 310 | TGraph gzd;
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| 311 |
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| 312 | gdaz.SetTitle(" \\Delta Az vs. Zd ");
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| 313 | gdzd.SetTitle(" \\Delta Zd vs. Az ");
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| 314 |
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| 315 | gaz.SetTitle(" \\Delta Az vs. Az ");
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| 316 | gzd.SetTitle(" \\Delta Zd vs. Zd ");
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| 317 |
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| 318 | ifstream fin("tpoint.txt");
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| 319 |
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| 320 | while (fin && fin.get()!='\n');
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| 321 | while (fin && fin.get()!='\n');
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| 322 | while (fin && fin.get()!='\n');
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| 323 | if (!fin)
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| 324 | {
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| 325 | cout << "File not found!" << endl;
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| 326 | return;
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| 327 | }
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| 328 |
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| 329 | while (1)
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| 330 | {
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| 331 | Set set;
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| 332 |
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| 333 | fin >> set; // Read data from file [deg], it is stored in [rad]
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| 334 |
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| 335 | if (!fin)
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| 336 | break;
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| 337 |
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| 338 | gCoordinates.Add(new Set(set));
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| 339 | }
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| 340 |
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| 341 | cout << "Found " << gCoordinates.GetSize() << " sets of coordinates." << endl;
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| 342 |
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| 343 | TMinuit minuit(16); //initialize TMinuit with a maximum of 5 params
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| 344 | minuit.SetPrintLevel(-1);
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| 345 | minuit.SetFCN(fcn);
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| 346 |
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| 347 | MBending bending;
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| 348 | bending.SetMinuitParameters(minuit, 16); // Init Parameters [deg]
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| 349 |
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| 350 | //minuit.FixParameter(0); //(1) IA
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| 351 | //minuit.FixParameter(1); //(1) IE
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| 352 | minuit.FixParameter(2); //(2) NPAE
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| 353 | //minuit.FixParameter(3); //(1) CA
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| 354 | minuit.FixParameter(4); //(2) AN
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| 355 | //minuit.FixParameter(5); //(1) AW
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| 356 |
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| 357 | minuit.FixParameter(6); // NRX
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| 358 | minuit.FixParameter(7); // NRY
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| 359 | minuit.FixParameter(8); // CRX
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| 360 | minuit.FixParameter(9); // CRY
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| 361 | minuit.FixParameter(10); // ECES
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| 362 | minuit.FixParameter(11); //(2) ACES
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| 363 | minuit.FixParameter(12); // ECEC
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| 364 | minuit.FixParameter(13); //(2) ACEC
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| 365 | minuit.FixParameter(14); // MAGIC1
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| 366 | minuit.FixParameter(15); // MAGIC2
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| 367 |
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| 368 |
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| 369 | //minuit.Command("SHOW PARAMETERS");
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| 370 | //minuit.Command("SHOW LIMITS");
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| 371 | cout << endl;
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| 372 |
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| 373 | Int_t ierflg = 0;
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| 374 | ierflg = minuit.Migrad();
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| 375 | cout << "Migrad returns " << ierflg << endl;
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| 376 | // minuit.Release(2);
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| 377 | ierflg = minuit.Migrad();
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| 378 | cout << "Migrad returns " << ierflg << endl << endl;
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| 379 |
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| 380 | //
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| 381 | // Get Fit Results
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| 382 | //
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| 383 | bending.GetMinuitParameters(minuit);
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| 384 | bending.PrintMinuitParameters(minuit);
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| 385 | bending.Save("bending_magic.txt");
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| 386 |
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| 387 |
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| 388 | //
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| 389 | // Make a copy of all list entries
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| 390 | //
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| 391 | TList list;
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| 392 | list.SetOwner();
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| 393 | for (int i=0; i<gCoordinates.GetSize(); i++)
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| 394 | list.Add(new Set(*(Set*)gCoordinates.At(i)));
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| 395 |
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| 396 | //
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| 397 | // Correct for Offsets only
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| 398 | //
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| 399 | double par[16];
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| 400 | bending.GetParameters(par);
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| 401 | for (int i=2; i<16; i++) par[i]=0;
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| 402 | MBending b2;
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| 403 | b2.SetParameters(par);
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| 404 |
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| 405 | //
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| 406 | // Calculate correction and residuals
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| 407 | //
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| 408 | for (int i=0; i<gCoordinates.GetSize(); i++)
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| 409 | {
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| 410 | Set &set0 = *(Set*)gCoordinates.At(i);
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| 411 |
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| 412 | ZdAz za = set0.GetStarZdAz()*kRad2Deg;
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| 413 |
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| 414 | //
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| 415 | // Correct for offsets only
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| 416 | //
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| 417 | Set set1(set0);
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| 418 | set1.Adjust(b2);
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| 419 |
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| 420 | hres1.Fill(set1.GetResidual());
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| 421 |
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| 422 | set0.Adjust(bending);
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| 423 | hres2.Fill(set0.GetResidual());
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| 424 |
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| 425 | Double_t dz = fmod(set0.GetDAz()+720, 360);
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| 426 | if (dz>180)
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| 427 | dz -= 360;
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| 428 |
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| 429 | static int j=0;
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| 430 | gdzd.SetPoint(j, za.Az(), set0.GetDZd());
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| 431 | gaz.SetPoint( j, za.Az(), dz);
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| 432 | gdaz.SetPoint(j, za.Zd(), dz);
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| 433 | gzd.SetPoint( j, za.Zd(), set0.GetDZd());
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| 434 | j++;
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| 435 | }
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| 436 |
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| 437 | //
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| 438 | // Check for overflows
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| 439 | //
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| 440 | const Stat_t ov = hres2.GetBinContent(hres2.GetNbinsX()+1);
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| 441 | if (ov>0)
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| 442 | cout << "WARNING: " << ov << " overflows in residuals." << endl;
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| 443 |
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| 444 | //
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| 445 | // Print all data sets for which the backward correction is
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| 446 | // twice times worse than the residual gotten from the
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| 447 | // bending correction itself
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| 448 | //
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| 449 | cout << endl;
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| 450 | cout << "Checking backward correction (raw-->star):" << endl;
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| 451 | for (int i=0; i<gCoordinates.GetSize(); i++)
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| 452 | {
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| 453 | Set set0(*(Set*)list.At(i));
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| 454 | Set set1(*(Set*)list.At(i));
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| 455 |
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| 456 | set0.AdjustBack(bending);
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| 457 | set1.Adjust(bending);
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|---|
| 458 |
|
|---|
| 459 | Double_t res0 = set0.GetResidual();
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|---|
| 460 | Double_t res1 = set1.GetResidual();
|
|---|
| 461 |
|
|---|
| 462 | Double_t diff = fabs(res0-res1);
|
|---|
| 463 |
|
|---|
| 464 | if (diff<hres2.GetMean()*0.66)
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|---|
| 465 | continue;
|
|---|
| 466 |
|
|---|
| 467 | cout << "DBack: " << setw(7) << set0.GetStarZd() << " " << setw(8) << set0.GetStarAz() << ": ";
|
|---|
| 468 | cout << "ResB="<< setw(7) << res0*60 << " ResF=" << setw(7) << res1*60 << " |ResB-ResF|=" << setw(7) << diff*60 << " arcmin" << endl;
|
|---|
| 469 | }
|
|---|
| 470 | cout << "OK." << endl;
|
|---|
| 471 |
|
|---|
| 472 | //
|
|---|
| 473 | // Print out the residual before and after correction in several
|
|---|
| 474 | // units
|
|---|
| 475 | //
|
|---|
| 476 | cout << endl;
|
|---|
| 477 | cout << gCoordinates.GetSize() << " data sets." << endl << endl;
|
|---|
| 478 | cout << "Spead before: " << hres1.GetMean() << "deg +- " << hres1.GetRMS() << "deg" << endl;
|
|---|
| 479 | cout << "Spead after: " << hres2.GetMean() << "deg +- " << hres2.GetRMS() << "deg" << endl;
|
|---|
| 480 | cout << "Spead before: " << (int)(hres1.GetMean()*60+.5) << "' +- " << (int)(hres1.GetRMS()*60+.5) << "'" << endl;
|
|---|
| 481 | cout << "Spead before: " << (int)(hres1.GetMean()*60*60/23.4+.5) << "pix +- " << (int)(hres1.GetRMS()*60*60/23.4+.5) << "pix" << endl;
|
|---|
| 482 | cout << "Spead after: " << (int)(hres2.GetMean()*60+.5) << "' +- " << (int)(hres2.GetRMS()*60+.5) << "'" << endl;
|
|---|
| 483 | cout << "Spead after: " << (int)(hres2.GetMean()*60*60/23.4+.5) << "pix +- " << (int)(hres2.GetRMS()*60*60/23.4+.5) << "pix" << endl;
|
|---|
| 484 | cout << "Spead after: " << (int)(hres2.GetMean()*16384/360+.5) << "SE +- " << (int)(hres2.GetRMS()*16384/360+.5) << "SE" << endl;
|
|---|
| 485 | cout << endl;
|
|---|
| 486 |
|
|---|
| 487 |
|
|---|
| 488 |
|
|---|
| 489 | TCanvas *c1=new TCanvas("c1", "c");
|
|---|
| 490 | c1->Divide(2,2);
|
|---|
| 491 |
|
|---|
| 492 | c1->cd(2);
|
|---|
| 493 | gdaz.DrawClone("A*");
|
|---|
| 494 |
|
|---|
| 495 | c1->cd(1);
|
|---|
| 496 | gaz.DrawClone("A*");
|
|---|
| 497 |
|
|---|
| 498 | c1->cd(3);
|
|---|
| 499 | gdzd.DrawClone("A*");
|
|---|
| 500 |
|
|---|
| 501 | c1->cd(4);
|
|---|
| 502 | gzd.DrawClone("A*");
|
|---|
| 503 |
|
|---|
| 504 |
|
|---|
| 505 |
|
|---|
| 506 | c1=new TCanvas("c2", "c", 800, 800);
|
|---|
| 507 | c1->Divide(2,2);
|
|---|
| 508 |
|
|---|
| 509 | c1->cd(2);
|
|---|
| 510 | hres1.SetLineColor(kRed);
|
|---|
| 511 | hres1.DrawCopy();
|
|---|
| 512 |
|
|---|
| 513 | c1->cd(4);
|
|---|
| 514 | hres2.SetLineColor(kBlue);
|
|---|
| 515 | hres2.DrawCopy();
|
|---|
| 516 |
|
|---|
| 517 | c1->cd(1);
|
|---|
| 518 | gPad->SetTheta(90);
|
|---|
| 519 | gPad->SetPhi(90);
|
|---|
| 520 | TH2F h2res1("Res2D1", " Arb. Residuals before correction (scaled) ", 32, 0, 360, 10, 0, 90);
|
|---|
| 521 | h2res1.DrawCopy("surf1pol");
|
|---|
| 522 | gPad->Modified();
|
|---|
| 523 | gPad->Update();
|
|---|
| 524 | for (int i=0; i<gCoordinates.GetSize(); i++)
|
|---|
| 525 | DrawSet(gPad, *(Set*)list.At(i));//, 10./hres1.GetMean());
|
|---|
| 526 |
|
|---|
| 527 | c1->cd(3);
|
|---|
| 528 | gPad->SetTheta(90);
|
|---|
| 529 | gPad->SetPhi(90);
|
|---|
| 530 | h2res1.SetTitle(" Arb. Residuals after correction (scaled) ");
|
|---|
| 531 | h2res1.DrawCopy("surf1pol");
|
|---|
| 532 | gPad->Modified();
|
|---|
| 533 | gPad->Update();
|
|---|
| 534 | for (int i=0; i<gCoordinates.GetSize(); i++)
|
|---|
| 535 | DrawSet(gPad, *(Set*)gCoordinates.At(i), 10./hres2.GetMean());
|
|---|
| 536 |
|
|---|
| 537 | }
|
|---|