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 |
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459 | Double_t res0 = set0.GetResidual();
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460 | Double_t res1 = set1.GetResidual();
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461 |
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462 | Double_t diff = fabs(res0-res1);
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463 |
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464 | if (diff<hres2.GetMean()*0.66)
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465 | continue;
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466 |
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467 | cout << "DBack: " << setw(7) << set0.GetStarZd() << " " << setw(8) << set0.GetStarAz() << ": ";
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468 | cout << "ResB="<< setw(7) << res0*60 << " ResF=" << setw(7) << res1*60 << " |ResB-ResF|=" << setw(7) << diff*60 << " arcmin" << endl;
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469 | }
|
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470 | cout << "OK." << endl;
|
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471 |
|
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472 | //
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473 | // Print out the residual before and after correction in several
|
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474 | // units
|
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475 | //
|
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476 | cout << endl;
|
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477 | cout << gCoordinates.GetSize() << " data sets." << endl << endl;
|
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478 | cout << "Spead before: " << hres1.GetMean() << "deg +- " << hres1.GetRMS() << "deg" << endl;
|
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479 | cout << "Spead after: " << hres2.GetMean() << "deg +- " << hres2.GetRMS() << "deg" << endl;
|
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480 | cout << "Spead before: " << (int)(hres1.GetMean()*60+.5) << "' +- " << (int)(hres1.GetRMS()*60+.5) << "'" << endl;
|
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481 | cout << "Spead before: " << (int)(hres1.GetMean()*60*60/23.4+.5) << "pix +- " << (int)(hres1.GetRMS()*60*60/23.4+.5) << "pix" << endl;
|
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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;
|
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484 | cout << "Spead after: " << (int)(hres2.GetMean()*16384/360+.5) << "SE +- " << (int)(hres2.GetRMS()*16384/360+.5) << "SE" << endl;
|
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485 | cout << endl;
|
---|
486 |
|
---|
487 |
|
---|
488 |
|
---|
489 | TCanvas *c1=new TCanvas("c1", "c");
|
---|
490 | c1->Divide(2,2);
|
---|
491 |
|
---|
492 | c1->cd(2);
|
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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 | }
|
---|